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MCQ Questions Bank 2021-22, , CLASS X, Term 1, , FULL EXPLANATION, , MATHEMATICS, CHAPTER, , NO. OF MCQ, , Real Numbers, , 119, , Polynomials, , 148, , Pair of Lin. Eq. in Two Variable, , 218, , Triangles, , 153, , Co-ordinate Geometry, , 176, , Intro. of Trigonometry, , 185, , Area Related to Circles, , 175, , Probability, , 301, , Included Case Study Questions, Included Assertion Reason Questions, , NODIA, , www.cbse.online
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 1, , Real Numbers, , Page 1, , CHAPTER 1, REAL NUMBERS, 1., , (b) 4, , The sum of exponents of prime factors in the primefactorisation of 196 is, (a) 3, , (c) 20, (d) 44, , (b) 4, (c) 5, , SOL: www.cbse.site/ma/am105, , (d) 2, , SOL: www.cbse.site/ma/am101, 2., , 6., , The total number of factors of prime number is, (a) 1, , HCF of two numbers is 27 and their LCM is 162. If, one of the numbers is 54, then the other number is, (a) 36, (b) 35, (c) 9, , (b) 0, , (d) 81, , (c) 2, (d) 3, , SOL: www.cbse.site/ma/am106, , SOL: www.cbse.site/ma/am102, 7., 3., , The HCF and the LCM of 12, 21, 15 are respectively, (a) 3, 140, , HCF of 144 and 198 is, (a) 9, (b) 18, (c) 6, , (b) 12, 420, , (d) 12, , (c) 3, 420, (d) 420, 3, , SOL: www.cbse.site/ma/am107, , SOL: www.cbse.site/ma/am103, 8., 4., , 11 will, 23 # 5, (a) terminate after 1 decimal place, The decimal representation of, , 225 can be expressed as, (a) 5 # 32, (b) 52 # 3, (c) 52 # 32, (d) 53 # 3, , (b) terminate after 2 decimal place, (c) terminate after 3 decimal places, , SOL: www.cbse.site/ma/am108, , (d) not terminate, , SOL: www.cbse.site/ma/am104, 5., , The LCM of smallest two digit composite number, and smallest composite number is, (a) 12, , 9., , 23, The decimal expansion of 2 #, will terminate after, 5, how many places of decimal?, (a) 2, 5, , (b) 4, (c) 5, , For Solution of Question Click the Link in Pink Colour, , 2
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 2, , Real Numbers, , (d) 1, , (d) x2 y2, , SOL: www.cbse.site/ma/am109, , SOL: www.cbse.site/ma/am114, , 10. The decimal expansion of the rational number 14587, 1250, will terminate after, (a) one decimal place, (b) two decimal places, (c) three decimal places, (d) four decimal places, , SOL: www.cbse.site/ma/am110, 11., , 2.35 is, (a) an integer, , Chap 1, , 15. If two positive integers p and q can be expressed, as p = ab2 and q = a3 b ; where a , b being prime, numbers, then LCM ^p, q h is equal to, (a) ab, (b) a2 b2, (c) a3 b2, (d) a3 b3, , SOL: www.cbse.site/ma/am115, 16. The values of x and y in the given figure are, , (b) a rational number, (c) an irrational number, (d) a natural number, , SOL: www.cbse.site/ma/am111, 12., , 2 3 is, (a) an integer, (b) a rational number, , (a) 7, 13, , (c) an irrational number, , (b) 13, 7, , (d) a whole number, , (c) 9, 12, , SOL: www.cbse.site/ma/am112, , (d) 12, 9, , SOL: www.cbse.site/ma/am116, 13. For some integer q , every odd integer is of the form, (a) q, (b) q + 1, (c) 2q, (d) 2q + 1, , 17. If p1 and p2 are two odd prime numbers such that, p1 > p2 , then p 12 - p 22 is, (a) an even number, (b) an odd number, (c) an odd prime number, , SOL: www.cbse.site/ma/am113, 14. If two positive integers a and b are written as, a = x3 y2 and b = xy3 , where x , y are prime numbers,, then HCF ^a, b h is, (a) xy, (b) xy2, (c) x3 y3, , (d) a prime number, , SOL: www.cbse.site/ma/am117, 18. The rational number of the form qp , q ! 0 , p and, q are positive integers, which represents 0.134 i.e.,, (0.1343434 ..........) is, (a) 134, 999, , For Solution of Question Click the Link in Pink Colour
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 1, , Real Numbers, , (b) 134, 990, (c) 133, 999, 133, (d), 990, , Page 3, , SOL: www.cbse.site/ma/am122, 23. The least number which is a perfect square and is, divisible by each of 16, 20 and 24 is, (a) 240, (b) 1600, , SOL: www.cbse.site/ma/am118, , (c) 2400, 19. Which of the following will have a terminating, decimal expansion?, (a) 77, 210, (b) 23, 30, 125, (c), 441, (d) 23, 8, , (d) 3600, , SOL: www.cbse.site/ma/am123, 24., , n2 - 1 is divisible by 8, if n is, (a) an integer, (b) a natural number, (c) an odd integer, (d) an even integer, , SOL: www.cbse.site/ma/am119, SOL: www.cbse.site/ma/am124, 20. If x = 0.7 , then 2x is, 25. When 2256 is divided by 17 the remainder would be, (a) 1, , (a) 1.4, (b) 1.5, , (b) 16, , (c) 1.54, , (c) 14, , (d) 1.45, , (d) None of these, , SOL: www.cbse.site/ma/am120, 21. Which of the following rational number have nonterminating repeating decimal expansion?, (a) 31, 3125, (b) 71, 512, (c) 23, 200, (d) None of these, , SOL: www.cbse.site/ma/am121, , SOL: www.cbse.site/ma/am125, 26. Assertion : 13 is a terminating decimal fraction., 3125, Reason : If q = 2m 5n where m, n are non-negative, integers, then qp is a terminating decimal fraction., (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., (c) Assertion (A) is true but reason (R) is false., , 22. The number 313 - 310 is divisible by, (a) 2 and 3, (b) 3 and 10, , (d) Assertion (A) is false but reason (R) is true., , SOL: www.cbse.site/ma/am126, , (c) 2, 3 and 10, (d) 2, 3 and 13, , 27. Assertion : 34.12345 is a terminating decimal fraction., Reason : Denominator of 34.12345, when expressed, , For Solution of Question Click the Link in Pink Colour
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 4, , Real Numbers, , in the form qp , q ! 0 , is of the form 2m # 5n , where, m and n are non-negative integers., (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., , Chap 1, , SOL: www.cbse.site/ma/am130, 31. The number 757 will have (a) non-terminating repeating decimal expansion., , (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., , (b) terminating decimal expansion., , (c) Assertion (A) is true but reason (R) is false., , (d) terminating non repeating decimal expansion, , (c) non-terminating, expansion., , non, , repeating, , decimal, , (d) Assertion (A) is false but reason (R) is true., , SOL: www.cbse.site/ma/am131, SOL: www.cbse.site/ma/am127, 21, will, 16 # 15, (a) terminate after 2 decimal place, , 32. The decimal representation of, 28. Assertion : The HCF of two numbers is 5 and their, product is 150, then their LCM is 30, Reason : For any two positive integers a and b,, HCF ^a, b h + LCM ^a, b h = a # b ., (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., (c) Assertion (A) is true but reason (R) is false., (d) Assertion (A) is false but reason (R) is true., , SOL: www.cbse.site/ma/am128, , (b) terminate after 3 decimal place, (c) terminate after 4 decimal places, (d) terminate after 5 decimal places, , SOL: www.cbse.site/ma/am132, 33. The sum of exponents of prime factors in the primefactorisation of 1764 is, (a) 3, (b) 4, (c) 5, (d) 6, , 29. a and b are two positive integers such that the least, prime factor of a is 3 and the least prime factor of, b is 5. Then the least prime factor of (a + b) will be, (a) 1, (b) 2, , SOL: www.cbse.site/ma/am133, 34. In the given factor tree what is the composite number, x?, , (c) 3, (d) 4, , SOL: www.cbse.site/ma/am129, 30. Select the least number that is divisible by all, numbers between 1 and 10 (both inclusive)., (a) 2520, (b) 5040, (c) 1010, (d) 2020, , For Solution of Question Click the Link in Pink Colour
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 1, , Real Numbers, , Page 5, , 37. What is the HCF of smallest primer number and the, smallest composite number?, (a) 2, , (a) 65, (b) 585, (c) 130, (d) 195, , (b) 4, , SOL: www.cbse.site/ma/am134, , (d) 8, , (c) 6, , 35. The HCF and LCM of 378, 180 and 420 of will be, (a) 6 and 3980, , SOL: www.cbse.site/ma/am137, 38. If HCF(336, 54) = 6 , LCM(336, 54) will be, (a) 2024, , (b) 12 and 3780, (c) 6 and 3780, (d) 12 and 3980, , (b) 3024, , SOL: www.cbse.site/ma/am135, , (d) 1512, , (c) 1012, , 36. In the given factor tree what is the composite number, x?, , SOL: www.cbse.site/ma/am138, 39. What are the missing numbers c and d in the given, factor tree:, , (a) 53, (b) 11130, , (a) 3 and 7, , (c) 5565, , (b) 13 and 11, , (d) 19438, , (c) 6 and 9, , SOL: www.cbse.site/ma/am136, , (d) 5 and 4, , SOL: www.cbse.site/ma/am139, , For Solution of Question Click the Link in Pink Colour
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 6, , Real Numbers, , COMPETENCEY BASED QUESTIONS, Direction For Question : (40-41), When the marbles in a bag are divided evenly, between two friends, there is one marble left over., When the same marbles are divided evenly among, three friends, there is one marble left over. When the, marbles are divided evenly among five friends, there, is one marble left over., , 40. What is the least possible number of marbles in the, bag?, (a) 31, (b) 30, (c) 32, , Chap 1, , Small, , 6 # 8, , Medium, , 12 # 24, , Large, , 24 # 36, , Extra large, , 36 # 48, , XXL, , 48 # 96, , The company places supporting thermocol sheets, inside every package along the edges. The company, thought of procuring same sized sheets for all types, of cartons., , 42. What should be the maximum size of the sheet that, fits into all type of cartons?, (a) 6 by 4, (b) 6 by 2, , (d) 34, , (c) 4 by 2, , SOL: www.cbse.site/ma/am140, , (d) 4 by 4, , SOL: www.cbse.site/ma/am141, 41. What is another possible number of marbles in the, bag?, (a) 31, (b) 61, , (b) 2, , (c) 52, , (c) 3, , (d) 34, , (d) 4, , SOL: www.cbse.site/ma/am140, , Direction For Question : (42-45), An online shopping website sells 10 types of items, which are packed into various sizes of cartons which, are given below., Carton type, , 43. How many such sheet sizes are possible?, (a) 1, , Inner Dimensions (L # W)cm2, , SOL: www.cbse.site/ma/am141, 44. The company later introduced a new size of carton, called semi large whose measurements are 14 # 15., Whether the existing maximum size sheet fits this, shape?, (a) yes it will fit, (b) It will not fit because 14 is not multiple of 6 and, , For Solution of Question Click the Link in Pink Colour
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 1, , Real Numbers, 15 is not multiple of 4., , (c) It will not fit because 14 # 15 is not multiple of, 6 # 4., (d) can’t say, , SOL: www.cbse.site/ma/am141, , Page 7, , Direction For Question : (48-49), Taniya have 54 football cards, 72 volleyball cards,, and 63 basketball cards and she want to put them in, a binder. Each page of the binder should have cards, from a single sport, and there should be the same, number of cards on each page., , 45. What should have been the size of the semi large, carton (which is larger than medium carton but, smaller than large carton) so that the maximum, sized sheet remains same?, (a) 12 # 28, (b) 18 # 28, (c) 12 # 24, (d) 18 # 24, , SOL: www.cbse.site/ma/am141, , 48. What is the greatest number of cards, Taniya can, put on a page?, (a) 9, (b) 12, (c) 15, (d) 18, , Direction For Question : (46-47), Two oil tankers contain 825 litres and 675 litres of, kerosene oil respectively., , SOL: www.cbse.site/ma/am143, 49. How many pages will Taniya need for each sport?, (a) for football 6, for volleyball 8 and for basketball, 7 pages, , 46. What is the maximum capacity of a container which, can measure the kerosene oil of both the tankers, when used an exact number of times?, (a) 50 litre, (b) 75 litre, , (b) for football 9, for volleyball 7 and for basketball, 6 pages, (c) for football 7, for volleyball 6 and for basketball, 8 pages, (d) for football 9, for volleyball 6 and for basketball, 7 pages, , SOL: www.cbse.site/ma/am143, , (c) 150 litre, (d) 225 litre, , SOL: www.cbse.site/ma/am142, 47. How many times we have to use container for both, tanker to fill ?, (a) 11 and 9 times, , 50. Tina has 39 pairs of headphones and 13 music players., Tina wants to sell all of the headphones and music, players in identical packages. What is the greatest, number of packages Tina can make?, , (b) 22 and 18 times, (c) 10 and 8 times, (d) 8 and 6 times, , SOL: www.cbse.site/ma/am142, , For Solution of Question Click the Link in Pink Colour
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 8, , Real Numbers, , (a) 4, (b) 9, (c) 13, (d) 26, , SOL: www.cbse.site/ma/am144, , Direction For Question : (51-52), A patient admitted to the Jaipur Golden hospital, was prescribed a pain medication to be given every, 4 hr and an antibiotic to be given every 5 hr., Bandages applied to the patient’s external injuries, needed changing every 12 hr. The nurse changed the, bandages and gave the patient both medications at, 6:00 A.M. Monday morning., , Chap 1, , 53. A tile floor is to be made from 10 inch, 12 inch, and, 15 inch square tiles. A design is made by alternating, rows with different size tiles. The first row uses only, 10 inch tiles, the second row uses only 12 inch tiles,, and the third row uses only 15 inch tiles. Neglecting, the grout seams, what is the shortest length of floor, space that can be covered evenly by each row?, , (a) 20 inch, (b) 39 inch, (c) 60 inch, (d) 10 inch, , SOL: www.cbse.site/ma/am146, 54. The traffic lights at three different road crossings, change after every 48 seconds, 72 seconds and 108, seconds respectively. If they change simultaneously at, 7 AM, at what time will they change simultaneously, again?, 51. How many hours will pass before the patient is given, both medications and has his bandages changed at, the same time?, (a) 60 hours, (b) 40 hours, (c) 20 hours, (d) 90 hours, , SOL: www.cbse.site/ma/am145, 52. What day and time will this be?, (a) Wednesday at 8 PM, (b) Wednesday at 6 PM, (c) Thursday at 6 PM, (d) Thursday at 8 PM, , (a) 7 min 12 sec, (b) 8 min 12 sec, (c) 6 mni 24 sec, (d) 9 min 24 sec, , SOL: www.cbse.site/ma/am147, , SOL: www.cbse.site/ma/am145, 55. Mercury, Venus, and Earth revolve around the Sun, , For Solution of Question Click the Link in Pink Colour
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 1, , Real Numbers, , approximately once every 3 months, 7 months, and, 12 months, respectively. If the planets begin lined up,, what is the minimum number of months required for, them to be aligned again? (Assume that the planets, lie roughly in the same plane.), , Page 9, , respectively. What is the minimum distance each, should walk so that all can cover the same distance, in complete steps?, , (a) 4 years, (b) 6 year, , (a) 38 m, , (c) 7 years, , (b) 30 m, , (d) 8 year, , (c) 32 m, , SOL: www.cbse.site/ma/am148, , (d) 36 m, , SOL: www.cbse.site/ma/am150, 56. Lina is preparing dinner plates. She has 12 pieces, of chicken and 16 rolls. If she wants to make all the, plates identical without any food left over, what is, the greatest number of plates Lina can prepare ?, , 58. Four satellites revolve around the earth once every, 6, 8, 10, and 15 hr, respectively. If the satellites are, initially lined up, how many hours must pass before, they will again be lined up?, , (a) 1 plate, (b) 2 plate, (c) 3 plate, (d) 4 plate, , SOL: www.cbse.site/ma/am149, , (a) 90 hours, (b) 200 hours, , 57. In a morning walk, three persons step off together., Their steps measure 75 cm, 80 cm and 90 cm, , (c) 120 hours, (d) 180 hours, , For Solution of Question Click the Link in Pink Colour
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 10, , Real Numbers, , SOL: www.cbse.site/ma/am151, , Chap 1, , (a) 10 cm, (b) 11 cm, , 59. At a train station, the blue line has a train leaving, every 15 minutes, the green line has a train leaving, every 24 minutes, and the red line every 10 minutes., If the first train on each line leaves at the same, time, how often will there be trains on all three lines, departing the train station at the same time?, , (c) 22 cm, (d) 33 cm, , SOL: www.cbse.site/ma/am153, , Direction For Question : (61-65), Ashish supplies bread and jams to a hospital and a, school. Bread and jam are supplied in equal number, of pieces. Bread comes in a packet of 8 pieces and, Jam comes in a pack of 6 pieces., , On a particular day, Ashish has supplied x packets, of bread and y packets of jam to the school. On the, same day, Ashish has supplied 3x packets of bread, along with sufficient packets of jam to hospital. It is, known that the number of students in the school are, between 500 and 550., , (a) 60 minute, (b) 90 minute, (c) 120 minute, (d) 150 minute, , SOL: www.cbse.site/ma/am152, 60. Jasmin is completing an art project. She has two, pieces of construction paper. The first piece is, 44 centimeters wide and the second piece is 33, centimeters wide. Jasmin wants to cut the paper into, strips that are equal in width and are as wide as, possible. How wide should Jasmin cut each strip?, , 61. How many students are there in school?, (a) 544, (b) 504, (c) 608, (d) 456, , SOL: www.cbse.site/ma/am154, 62. How many packets of bread are supplied in the, school?, (a) 94, (b) 63, (c) 74, (d) 84, , SOL: www.cbse.site/ma/am154, 63. How many packets of jams are supplied in the school?, (a) 129, (b) 64, , For Solution of Question Click the Link in Pink Colour
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 1, , Real Numbers, , (c) 74, (d) 84, , SOL: www.cbse.site/ma/am154, 64. How many packets of bread are supplied in the, hospital?, (a) 189, (b) 64, , Page 11, , first student to multiply it by a prime number and, then pass it to second student. Second student also, multiplied it by a prime number and passed it to, third student. In this way by multiplying to a prime, number the last student got 173250. He told this, number to Shalvi in class. Now she asked some, questions to the students as given below., 66. How many students are in the class?, (a) 6, (b) 7, , (c) 74, , (c) 8, , (d) 124, , (d) 9, , SOL: www.cbse.site/ma/am154, 65. How many packets of jams are supplied in the, hospital?, (a) 120, (b) 164, , SOL: www.cbse.site/ma/am155, 67. What is the highest prime number used by student?, (a) 2, (b) 3, (c) 5, , (c) 252, , (d) 11, , (d) 224, , SOL: www.cbse.site/ma/am154, , Direction For Question : (66-70), Shalvi is a tuition teacher and teaches mathematics, to some kids at her home. She is very innovative and, always plan new games to make her students learn, concepts., , SOL: www.cbse.site/ma/am155, 68. What is the least prime number used by students ?, (a) 2, (b) 3, (c) 5, (d) 11, , SOL: www.cbse.site/ma/am155, 69. Which prime number has been used maximum times, ?, (a) 2, (b) 3, (c) 5, (d) 11, , SOL: www.cbse.site/ma/am155, , Today, she has planned a prime number game. She, announce the number 2 in her class and asked the, , 70. Which prime number has been used minimum times, ?, (a) 2, (b) 3, , For Solution of Question Click the Link in Pink Colour
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 12, , Real Numbers, , Chap 1, , how many chairs will be left when arranged in 11’s., (a) 1, , (c) 7, (d) 11, , (b) 2, , SOL: www.cbse.site/ma/am155, , (c) 3, (d) 4, , Direction For Question : (71-75), Mahesh works as a manager in a hotel. He has to, arrange chairs in hall for a function. The hall has, a certain number of chairs. Guests want to sit in, different groups like in pairs, triplets, quadruplets,, fives and sixes etc. Mahesh want to arrange chairs, in such a way that there are no chair left after, arrangement., , SOL: www.cbse.site/ma/am156, 74. How many chairs will be left in original arrangement, if same number of chairs are arranged in 7’s?, (a) 1, (b) 2, (c) 3, (d) 0, , SOL: www.cbse.site/ma/am156, 75. How many chairs will be left in original arrangement, if same number of chairs will be arranged in 9’s?, (a) 8, (b) 7, (c) 8, When Mahesh arranges chairs in such pattern like, in 2’s, 3’s, 4’s 5’s and 6’s then 1, 2, 3, 4 and 5 chairs, are left respectively. But when he arranges in 11’s,, no chair will be left., 71. In the hall, how many chairs are available?, (a) 539, (b) 234, (c) 689, (d) 456, , SOL: www.cbse.site/ma/am156, 72. If one chair is removed, which arrangement is possible, now?, (a) 2, (b) 3, (c) 4, (d) 5, , SOL: www.cbse.site/ma/am156, , (d) 4, , SOL: www.cbse.site/ma/am156, , Direction For Question : (76-80), The Republic Day parade, first held in 1950, has, been a yearly ritual since. The parade marches from, the Rashtrapati Bhawan along the Rajpath in New, Delhi. Several regiments of the army, navy, and air, force, along with their bands, march to India Gate., The parade is presided over by the President of India,, who is the Commander-in-Chief of the Indian Armed, Forces. As he unfurls the tricolour, the national, anthem is played. The regiments of the Armed Forces, then start their march past. Prestigious awards like, Kirti Chakra, Ashok Chakra, Paramvir Chakra and, Vir Chakra are given out by the President. Nine to, twelve different regiments of the Indian Army, in, addition to the Navy and Air Force march toward, India Gate along with their bands. Contingents, of paramilitary forces and other civil forces also, participate in the parade., , 73. If one chair is added to the original number of chairs,, , For Solution of Question Click the Link in Pink Colour
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 1, , Real Numbers, , Page 13, , 79. What should be subtracted with the numbers of, CRPF soldiers and the number of bikers so that, their maximum number of column is equal to the, maximum number of column of army troop?, (a) 4 Soldiers and 4 Bikers, (b) 4 Soldiers and 2 Bikers, (c) 2 Soldiers and 4 Bikers, (d) 2 Soldiers and 2 Bikers, , SOL: www.cbse.site/ma/am157, On 71th republic day parade, captain RS Meel is, planing for parade of following two group:, (a) First group of Army troops of 624 members, behind an army band of 32 members., (b) Second group of CRPF troops with 468 soldiers, behind the 228 members of bikers., These two groups are to march in the same, number of columns. This sequence of soldiers is, followed by different states Jhanki which are showing, the culture of the respective states., 76. What is the maximum number of columns in which, the army troop can march?, (a) 8, (b) 16, (c) 4, , 80. What should be added with the numbers of CRPF, soldiers and the number of bikers so that their, maximum number of column is equal to the maximum, number of column of army troop?, (a) 4 Soldiers and 4 Bikers, (b) 12 Soldiers and 12 Bikers, (c) 6 Soldiers and 6 Bikers, (d) 12 Soldiers and 6 Bikers, , SOL: www.cbse.site/ma/am157, , (d) 32, , SOL: www.cbse.site/ma/am157, 77. What is the maximum number of columns in which, the CRPF troop can march?, (a) 4, , Direction For Question : (81-85), Lavanya wants to organize her birthday party. She, is very happy on her birthday. She is very health, conscious, thus she decided to serve fruits only in her, birthday party., , (b) 8, (c) 12, (d) 16, , SOL: www.cbse.site/ma/am157, 78. What is the maximum number of columns in which, total army troop and CRPF troop together can, march past?, (a) 2, (b) 4, (c) 6, (d) 8, , She has 36 apples and 60 bananas at home and, decided to serve them. She wants to distribute fruits, among guests. She does not want to discriminate, among guests, so she decided to distribute fruits, equally among all., , SOL: www.cbse.site/ma/am157, , For Solution of Question Click the Link in Pink Colour
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 14, , Real Numbers, , 81. How many maximum guests Shalvi can invite?, (a) 12, (b) 120, (c) 6, (d) 180, , Chap 1, , Direction For Question : (86-90), Amar, Akbar and Anthony are playing a game., Amar climbs 5 stairs and gets down 2 stairs in one, turn. Akbar goes up by 7 stairs and comes down by, 2 stairs every time. Anthony goes 10 stairs up and 3, stairs down each time., , SOL: www.cbse.site/ma/am158, 82. How many apples and bananas will each guest get?, (a) 3 apple 5 banana, (b) 5 apple 3 banana, (c) 2 apple 4 banana, (d) 4 apple 2 banana, , SOL: www.cbse.site/ma/am158, 83. Lavanya decide to add 42 mangoes also. In this case, how many maximum guests Lavanya can invite ?, (a) 12, , Doing this they have to reach to the nearest point, of 100th stairs and they will stop once they find it, impossible to go forward. They can not cross 100th, stair in anyway., 86. Who reaches the nearest point?, (a) Amar, , (b) 120, , (b) Akbar, , (c) 6, , (c) Anthony, , (d) 180, , (d) All together reach to the nearest point., , SOL: www.cbse.site/ma/am158, , SOL: www.cbse.site/ma/am159, , 84. How many total fruits will each guest get?, (a) 6 apple 5 banana and 6 mangoes, (b) 6 apple 10 banana and 7 mangoes, , 87. How many times can they meet in between on same, stair ?, (a) 3, , (c) 3 apple 5 banana and 7 mangoes, , (b) 4, , (d) 3 apple 10 banana and 6 mangoes, , (c) 5, (d) No, they cannot meet in between on same stair., , SOL: www.cbse.site/ma/am158, SOL: www.cbse.site/ma/am159, 85. If Lavanya decide to add 3 more mangoes and, remove 6 apple in total fruits, in this case how many, maximum guests Lavanya can invite ?, (a) 12, , 88. Who takes least number of steps to reach near, hundred?, (a) Amar, , (b) 30, , (b) Akbar, , (c) 15, , (c) Anthony, , (d) 24, , (d) All of them take equal number of steps., , SOL: www.cbse.site/ma/am158, , SOL: www.cbse.site/ma/am159, , For Solution of Question Click the Link in Pink Colour
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 1, , Real Numbers, , 89. What is the first stair where any two out of three will, meet together?, (a) Amar and Akbar will meet for the first time on, 15th stair., (b) Akbar and Anthony will meet for the first time, on 35th stair., (b) Amar and Anthony will meet for the first time, on 21th stair., (d) Amar and Akbar will meet for the first time on, 21th stair., , SOL: www.cbse.site/ma/am159, 90. What is the second stair where any two out of three, will meet together?, (a) Amar and Akbar will meet on 21th stair., (b) Akbar and Anthony will meet on 35th stair., (c) Amar and Anthony will meet on 21th stair., (d) Amar and Anthony will meet on 35th stair., , SOL: www.cbse.site/ma/am159, , ***********, , For Solution of Question Click the Link in Pink Colour, , Page 15
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 16, , Polynomials, , Chap 2, , CHAPTER 2, POLYNOMIALS, 1., , If one zero of a quadratic polynomial (kx2 + 3x + k) is, 2, then the value of k is, (a) 56, , 2, then the value of k is, (a) 10, , (b) - 56, , (c) - 7, , (c), , (d) - 2, , (b) - 10, , 6, 5, , (d) -, , 6, 5, , Sol : www.cbse.site/ma/bm104, Sol : www.cbse.site/ma/bm101, 5., 2., , The graph of a polynomial is shown in Figure, then, the number of its zeroes is, , The quadratic polynomial, the sum of whose zeroes, is - 5 and their product is 6, is, (a) x2 + 5x + 6, (b) x2 - 5x + 6, (c) x2 - 5x - 6, (d) - x2 + 5x + 6, Sol : www.cbse.site/ma/bm105, , 6., , If one zero of the polynomial (3x2 + 8x + k) is the, reciprocal of the other, then value of k is, (a) 3, , (a) 3, , (b) - 3, , (b) 1, , (c), , (c) 2, , (d) - 13, , (d) 4, , 1, 3, , Sol : www.cbse.site/ma/bm106, Sol : www.cbse.site/ma/bm102, 7., 3., , The maximum number of zeroes a cubic polynomial, can have, is, (a) 1, , (b) - m, m + 3, (c) m, - (m + 3), , (b) 4, , (d) - m, - (m + 3), , (c) 2, (d) 3, Sol : www.cbse.site/ma/bm103, 4., , If one zero of the quadratic polynomial x2 + 3x + k is, , The zeroes of the polynomial x2 - 3x - m (m + 3) are, (a) m, m + 3, , Sol : www.cbse.site/ma/bm107, 8., , The value of x , for which the polynomials x2 - 1 and, x2 - 2x + 1 vanish simultaneously, is, (a) 2
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 2, (b) - 2, , Polynomials, , (c) - 1, , then the value of p is, (a) ! 9, , (d) 1, , (b) ! 12, , Page 17, , (c) ! 15, Sol : www.cbse.site/ma/bm108, 9., , If a and b are zeroes and the quadratic polynomial, f ^x h = x2 - x - 4 , then the value of 1 + 1 - ab is, a b, (a) 154, (b) - 154, (c) 4, (d) 15, Sol : www.cbse.site/ma/bm109, , 10. The value of the polynomial x8 - x5 + x2 - x + 1 is, (a) positive for all the real numbers, (b) negative for all the real numbers, (c) 0, (d) depends on value of x, Sol : www.cbse.site/ma/bm110, 11. Lowest value of x2 + 4x + 2 is, (a) 0, (b) - 2, , (d) ! 18, Sol : www.cbse.site/ma/bm113, 14. If one of the zeroes of the quadratic polynomial, ^k - 1h x2 + kx + 1 is - 3 , then the value of k is, (a) 4, 3, (b) - 4, 3, 2, (c), 3, (d) - 2, 3, Sol : www.cbse.site/ma/bm114, 15. A quadratic polynomial, whose zeroes are - 3 and, 4, is, (a) x2 - x + 12, (b) x2 + x + 12, 2, (c) x - x - 6, 2 2, (d) 2x2 + 2x - 24, , Sol : www.cbse.site/ma/bm115, , (c) 2, (d) 4, Sol : www.cbse.site/ma/bm111, , 16. If the zeroes of the quadratic, x2 + ^a + 1h x + b are 2 and - 3 , then, , polynomial, , (a) a =- 7, b =- 1, (b) a = 5, b = - 1, , 12. If the sum of the zeroes of the polynomial, f ^x h = 2x3 - 3kx2 + 4x - 5 is 6, then the value of k is, (a) 2, (b) - 2, , (c) a = 2, b = - 6, (d) a = 0, b = - 6, Sol : www.cbse.site/ma/bm116, , (c) 4, (d) - 4, Sol : www.cbse.site/ma/bm112, , 17. The zeroes of the quadratic polynomial x2 + 99x + 127, are, (a) both positive, (b) both negative, , 13. If the square of difference of the zeroes of the, quadratic polynomial x2 + px + 45 is equal to 144,, , (c) one positive and one negative, (d) both equal
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 18, , Polynomials, , Chap 2, , Sol : www.cbse.site/ma/bm117, 18. The zeroes of the quadratic polynomial x2 + kx + k, where k ! 0 ,, (a) cannot both be positive, (b) cannot both be negative, (c) are always unequal, (d) are always equal, Sol : www.cbse.site/ma/bm118, 19. If the zeroes of the quadratic polynomial ax2 + bx + c,, where c ! 0 , are equal, then, (a) c and a have opposite signs, (b) c and b have opposite signs, (c) c and a have same sign, (d) c and b have the same sign, Sol : www.cbse.site/ma/bm119, , Sol : www.cbse.site/ma/bm121, 22. Assertion : ^2 - 3 h is one zero of the quadratic, polynomial then other zero will be ^2 + 3 h ., Reason : Irrational zeros (roots) always occurs in, pairs., (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., (c) Assertion (A) is true but reason (R) is false., , 20. If one of the zeroes of a quadratic polynomial of the, form x2 + ax + b is the negative of the other, then it, (a) has no linear term and the constant term is, negative., (b) has no linear term and the constant term is, positive., (c) can have a linear term but the constant term is, negative., (d) can have a linear term but the constant term is, positive., Sol : www.cbse.site/ma/bm120, 21. Which of the following is not the graph of a quadratic, polynomial?, , (d) Assertion (A) is false but reason (R) is true., Sol : www.cbse.site/ma/bm122, 23. Assertion : If one zero of poly-nominal, p _x i = ^k2 + 4h x2 + 13x + 4k is reciprocal of other,, then k = 2 ., Reason : If ^x - a h is a factor of p ^x h , then p ^ah = 0, i.e. a is a zero of p _x i ., (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., (c) Assertion (A) is true but reason (R) is false., (d) Assertion (A) is false but reason (R) is true., Sol : www.cbse.site/ma/bm123, 24. Assertion : p ^x h = 14x3 - 2x2 + 8x 4 + 7x - 8 is a, polynomial of degree 3., Reason : The highest power of x in the polynomial, p ^x h is the degree of the polynomial., (a) Both assertion (A) and reason (R) are true and
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 2, , Polynomials, reason (R) is the correct explanation of assertion, (A)., , Page 19, , variable x , is as follows., , (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., (c) Assertion (A) is true but reason (R) is false., (d) Assertion (A) is false but reason (R) is true., Sol : www.cbse.site/ma/bm124, 25. Assertion : x3 + x has only one real zero., Reason : A polynomial of n th degree must have n, real zeroes., (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., (c) Assertion (A) is true but reason (R) is false., (d) Assertion (A) is false but reason (R) is true., Sol : www.cbse.site/ma/bm125, , The number of zeroes of p (x) is .......... ., (a) 2, (b) 3, (c) 4, (d) 5, Sol : www.cbse.site/ma/bm127, 28. If one root of the equation (k - 1) x2 - 10x + 3 = 0, is the reciprocal of the other then the value of k is, ........., (a) 2, (b) 3, , 26. Assertion : If both zeros of the quadratic polynomial, x2 - 2kx + 2 are equal in magnitude but opposite in, sign then value of k is ½., Reason : Sum of zeros of a quadratic polynomial, ax2 + bx + c is -ab, (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., (c) Assertion (A) is true but reason (R) is false., , (c) 4, (d) 5, Sol : www.cbse.site/ma/bm128, 29. If a and b are the roots of ax2 - bx + c = 0 (a ! 0),, then value of a + b is, (a) ab, (b), (c), (d), , a, b, 2a, b, a, 2b, , (d) Assertion (A) is false but reason (R) is true., Sol : www.cbse.site/ma/bm129, Sol : www.cbse.site/ma/bm126, 30. In given figure, the graph of a polynomial p (x) is, 27. The graph of y = p (x), where p (x) is a polynomial in
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 20, , Polynomials, , shown. The number of zeroes of p (x) will be, , Chap 2, , then other zero is, (a) 4, (b) 8, (c) 1, (d) –4, Sol : www.cbse.site/ma/bm133, 34. If a and b are the zeroes the polynomial 2x2 - 4x + 5,, the value of a2 + b2 is, (a) - 7, (b) 1, (c) - 1, (d) - 6, Sol : www.cbse.site/ma/bm134, 35. If zeroes of the polynomial x2 + 4x + 2a are a and 2 ,, a, then the value of a is, (a) 1, , (a) 1, (b) 2, (c) 3, , (b) 2, , (d) 4, , (c) 3, , Sol : www.cbse.site/ma/bm130, , (d) 4, Sol : www.cbse.site/ma/bm135, , 31. If sum of the zeroes of the quadratic polynomial, 3x2 - kx + 6 is 3, then the value of k will be, (a) 1, (b) 4, , (b) 1 and 3, , (c) 6, , (c) 0 and 2, , (d) 9, , (d) 0 and 4, , Sol : www.cbse.site/ma/bm131, 32. The zeroes of the polynomial p ^x h = 4x2 - 12x + 9, will be, (a) 32 and 32, (b), (c), (d), , 2, 3, 2, 3, 1, 3, , 36. Zeroes of f ^x h = x2 - 2x are, (a) 2 and 4, , and, and, and, , 1, 3, 1, 3, 1, 3, , Sol : www.cbse.site/ma/bm132, 33. If - 1 is a zero of the polynomial f (x) = x2 - 7x - 8 ,, , Sol : www.cbse.site/ma/bm136, 37. The zeroes of the, 3 x2 - 8x + 4 3 are, (a) 2 3 and 3, (b) 2 3 and, (c), (d), , 1, 3, 2, 3, , and, , quadratic, , 1, 3, , 3, , and 2 3, , Sol : www.cbse.site/ma/bm137, , polynomial
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 2, , Polynomials, , 38. If p and q are the zeroes of polynomial, f ^x h = 2x2 - 7x + 3 , the value of p2 + q2 will be, (a) 395, (b), (c), (d), , 5, 39, 37, 4, 4, 37, , Sol : www.cbse.site/ma/bm138, 39. The zeroes of polynomial p ^x h = ax2 + bx + c are, reciprocal of each other if, (a) b = 2a, (b) c = b, (c) b = a, (d) c = a, Sol : www.cbse.site/ma/bm139, 40. If a and b are the zeroes the polynomial 2x2 - 4x + 5,, the value of ^a - bh2 is, (a) 2, (b) 1, (c) - 1, (d) - 6, Sol : www.cbse.site/ma/bm140, 41. Select the quadratic polynomial whose zeroes, are reciprocals of the zeroes of the polynomial, f (x) = ax2 + bx + c , a ! 0 , c ! 0 ., (a) bx2 + ax + c, (b) ax2 + cx + b, (c) cx2 + bx + a, (d) bx2 + cx + a, , Page 21, , Direction For Question : (43-44), A teacher asked 10 of his students to write a, polynomial in one variable on a paper and then to, handover the paper. The following were the answers, given by the students :, 2x + 3 , 3x2 + 7x + 2 , 4x3 + 3x2 + 2 , x3 + 3x + 7,, 5x3 - 7x + 2 ,, 5x - 12 ,, 2x2 + 3 - x5 ,, 7x + 7 ,, 3, 2, 1, ax + bx + cx + d , x + x ., 43. How many of the above ten, are not polynomials?, (a) 2, (b) 3, (c) 4, (d) 5, Sol : www.cbse.site/ma/bm143, 44. How many of the above ten, are quadratic, polynomials?, (a) 1, (b) 2, (c) 3, (d) 4, Sol : www.cbse.site/ma/bm143, 45. Given that a and b are the zeroes of a quadratic, polynomial such that a + b = 24 and a - b = 8 ., Select the quadratic polynomial having a and b as, its zeroes., (a) x2 - 128x + 24, (b) x2 - 24x + 128, (c) x2 + 24x - 128, (d) x2 + 128x + 24, Sol : www.cbse.site/ma/bm144, , Sol : www.cbse.site/ma/bm141, 42. Which of the following are the zeroes of the, polynomial p ^x h = 2x3 - 11x2 + 17x - 6 ., (a) 2, , COMPETENCEY BASED QUESTIONS, , (b) 3, (c), , 1, 2, , (d) Above all, Sol : www.cbse.site/ma/bm142, , 46. R K Agrawal is designing a propylene tank in the, shape of a cylinder with hemispherical ends. If the, length of the cylinder is to be 20 unit larger than its, radius and the volume is to be 3321p cubic unit,
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 22, then what is the radius?, , Polynomials, , Chap 2, , (b) 5x2 + 3x - 12, (c) x3 + x2 - 6x, (d) 4x2 + 2x + 4, Sol : www.cbse.site/ma/bm146, 49. If it must have a volume of 18 unit, what must be its, length and height ?, (a) 6 and 1, (b) 5 and 2, (c) 6 and 2, (d) 5 and 3, , (a) 5 unit, (b) 7 unit, , Sol : www.cbse.site/ma/bm146, , (c) 9 unit, (d) 13 unit, Sol : www.cbse.site/ma/bm145, , 50. If box is made of a paper sheet which cost is ` 100, per square unit, what is the cost of paper?, (a) ` 2100, (b) ` 4200, (c) ` 2800, , Direction For Question : (47-50), For the box to satisfy certain requirements, its length, must be three unit greater than the width, and its, height must be two unit less than the width., , (d) ` 5400, Sol : www.cbse.site/ma/bm146, , Direction For Question : (51-54), The volume of water in a rectangular, in-ground,, swimming pool is given by V (x) = x3 + 11x2 + 24x, where V (x) is the volume in cubic feet when the, water is x ft high., , 47. If width is taken as x , find the polynomial that, represent volume of box., (a) 6x2 + 4x - 12, (b) 5x2 + 3x - 12, (c) x3 + x2 - 6x, (d) 4x2 + 2x + 4, Sol : www.cbse.site/ma/bm146, 48. Find the polynomial that represent the area of paper, sheet used to make box., (a) 6x2 + 4x - 12, , 51. What is the dimension of base of pool?, (a) x + 3 and x + 8, (b) x + 4 and x + 7, (c) x + 4 and x + 8
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 2, , Polynomials, , (d) x + 3 and x + 7, Sol : www.cbse.site/ma/bm147, , Page 23, , 56. What is the total volume if x is 10 inches?, (a) 1468 in3, (b) 2744 in3, (c) 1972 in3, , 52. What is the volume of pool when x = 3 ft?, (a) 298 ft3, (b) 148 ft3, , (d) 2146 in3, Sol : www.cbse.site/ma/bm148, , (c) 268 ft3, (d) 198 ft3, Sol : www.cbse.site/ma/bm147, 53. If the volume is 100 ft 3 of water, what is the height, x?, (a) 2 ft, , Direction For Question : (57-58), A metalworker makes an overflow pan by cutting, equal squares with sides of length x from the corners, of a 30 cm by 20 cm piece of aluminium, as shown, in the figure. The sides are then folded up and the, corners sealed., , (b) 3 ft, (c) 4 ft, (d) 5 ft, Sol : www.cbse.site/ma/bm147, 54. If the maximum capacity of the pool is 520 ft 3 what, is the maximum depth?, (a) 2 ft, (b) 3 ft, , 57. Which of the following polynomial function V (x), gives the volume of the pan?, (a) 4x 3 - 60x 2 + 450x, (b) 4x 3 - 100x 2 + 600x, (c) 4x 3 - 50x 2 + 600x, , (c) 4 ft, (d) 5 ft, , (d) 4x 3 - 60x 2 + 500x, , Sol : www.cbse.site/ma/bm147, , Sol : www.cbse.site/ma/bm149, , Direction For Question : (55-56), Frozen specimens are stored in a cubic metal box, that is x inches on each side. The box is surrounded, by a 2 inch thick layer of foam insulation., 55. Which of the following polynomial function V (x), gives the total volume in cubic inches for the box, and insulation?, (a) x 3 + 48x 2 + 12x + 32, (b) x 3 + 48x 2 + 12x + 64, 3, , 2, , (c) x + 12x + 48x + 64, (d) x 3 + 12x 2 + 48x + 32, Sol : www.cbse.site/ma/bm148, , 58. What is volume of the pan if the height is 6 cm?, (a) 518 cm3, (b) 746 cm3, (c) 648 cm3, (d) 864 cm3, Sol : www.cbse.site/ma/bm149, , Direction For Question : (59-60), Suppose that the pan in previous example is formed, from a square piece of aluminium that is 30 cm on, each side., 59. Which of the following polynomial function V (x)
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 24, , Polynomials, , gives the volume in cubic cm?, (a) 4x 3 - 120x 2 + 900x, , (b) 146 thousand cubic meter per second, , (b) 4x 3 - 900x 2 + 600x, , (d) 216 thousand cubic meter per second, , 3, , Chap 2, , (c) 246 thousand cubic meter per second, , 2, , (c) 4x + 120x + 600x, (d) 4x 3 - 900x 2 + 300x, Sol : www.cbse.site/ma/bm150, 60. The cost is Rs 5 per square cm of aluminum used in, the finished pan. Which of the following polynomial, function C (x) gives the cost?, (a) 20x2 + 2500, (b) 20x2 + 3500, (c) 20x2 + 4500, 2, , (d) - 20x + 4500, Sol : www.cbse.site/ma/bm150, , Direction For Question : (61-62), The discharge rate of a river is a measure of the, river’s water flow as it empties into a lake, sea,, or ocean. The rate depends on many factors, but, is primarily influenced by the precipitation in the, surrounding area and is often seasonal., , Suppose, the, discharge, rate, of, the, Brhamputra, River, was, modelled, by, D (m) =- m 4 + 22m 3 - 147m2 + 317m + 150 w h e r e, D (m) represents the discharge rate in thousands of, cubic meters of water per second in month m ., ( m = 1 " Jan, m = 2 " Feb ), 61. What was the discharge rate in June (summer heat), ?, (a) 166 thousand cubic meter per second, , Sol : www.cbse.site/ma/bm151, 62. Is the discharge rate higher in June or October?, (a) The discharge rate in October is 420 thousand, cubic meter per second which is much higher, than discharge in June., (b) The discharge rate in October is 120 thousand, cubic meter per second which is much lower than, discharge in June., (c) The discharge rate in October is 620 thousand, cubic meter per second which is much higher, than discharge in June., (d) The discharge rate in October is 60 thousand, cubic meter per second which is much lower than, discharge in June., Sol : www.cbse.site/ma/bm151, , Direction For Question : (63-65), A company makes rectangular shaped bird cages with, height b inches and square bottoms. The volume of, these cages is given by the function V = b3 - 6b2 + 9b
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 2, , Polynomials, , 63. Which of the following expression the length of each, side of the square bottom?, (a) (b - 2), (b) (b - 3), , Page 25, , 66. If we let the thickness be x inches, select the, polynomial function V (x) that gives the total volume., (a) x 3 + 30x 2 + 11x, (b) x 3 + 11x 2 + 30x, , (c) (b - 4), (d) (b - 5), , (c) x 3 + 15x 2 + 20x, , Sol : www.cbse.site/ma/bm152, , Sol : www.cbse.site/ma/bm153, , (d) x 3 + 20x 2 + 15x, , 64. What is the volume of a cage with a height of 18, inches?, (a) 3050 in2, , 67. If such a box is to have a volume of 112 inches3, then, what should the thickness be?, (a) 1 inch, , (b) 2050 in2, , (b) 2 inch, , (c) 1050 in, , (c) 3 inch, , (d) 4050 in, , (d) 4 inch, , Sol : www.cbse.site/ma/bm152, , Sol : www.cbse.site/ma/bm153, , 2, 2, , 65. What is the volume of a cage with a height of 15, inches?, (a) 2160 in2, (b) 2250 in2, (c) 1150 in2, , 68. The number of soda cans S needed to build a square, pyramid display with n levels is given by the, function L (n) = 13 n 3 + 12 n2 + 16 n . How many soda, cans needed to build a square pyramid display with, n = 6 levels?, , (d) 4350 in2, Sol : www.cbse.site/ma/bm152, Direction For Question : (66-67), An independent marketing research agency has, determined that the best box for breakfast cereal has, a height that is 6 inches larger than its thickness and, a width that is 5 inches larger than its thickness., , (a) 16, (b) 72, (c) 75, (d) 91, Sol : www.cbse.site/ma/bm154, , Direction For Question : (69-70), A bulk dog food storage bin with dimensions 2 feet by, 3 feet by 4 feet needs to be increased in size to hold, five times as much food as the current bin. Assume
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 26, , Polynomials, , Chap 2, , each dimension is increased by the same amount., , 71. Since Profit = Revenue - Cost , the profit function, would be, (a) - x2 + 210x - 2400, (b) - x2 + 210x - 7400, (c) - x2 + 310x - 7400, (d) - x2 - 310x + 7400, 69. Let x be the amount by which dimension is increased., Write of the following function represents the volume, of the new bin?, (a) x 3 + 36x 2 + 12x + 16, 3, , 2, , (b) x + 16x + 9x + 16, (c) x 3 + 26x 2 + 9x + 24, (d) x 3 + 9x 2 + 26x + 24, , Sol : www.cbse.site/ma/bm156, 72. How many bottles sold will produce the maximum, profit?, (a) 125, (b) 155, (c) 175, , Sol : www.cbse.site/ma/bm155, 70. What is the dimensions of the new bin?, (a) 4 feet, 5 feet and 5 feet., (b) 5 feet, 6 feet and 7 feet., (c) 4 feet, 5 feet and 6 feet., (d) 5 feet, 5 feet and 6 feet., , (d) 185, Sol : www.cbse.site/ma/bm156, 73. What is the maximum profit?, (a) Rs 14625, (b) Rs 16625, (c) Rs 22645, , Sol : www.cbse.site/ma/bm155, , (d) Rs 14685, Sol : www.cbse.site/ma/bm156, , Direction For Question : (71-74), The cost to produce bottled spring water is given, by C (x) = 16x - 63 where x is the number of, thousands of bottles. The total income (revenue), from the sale of these bottles is given by the function, R (x) =- x2 + 326x - 7463 ., , 74. What is the profit when 245 thousand bottles are, sold?, (a) Rs 8525, (b) Rs 9225, (c) Rs 12645
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 2, (d) Rs 10685, Sol : www.cbse.site/ma/bm156, 75. A bride-to-be has many girlfriends, but she has, decided to have only five bridesmaids, including, the maid of honor. The number of different ways n, girlfriends can be chosen and assigned a position,, such as maid of honor, first bridesmaid, second, bridesmaid, and so on, is given by the polynomial, function, S (n) = n5 - 10n 4 + 35n 3 - 50n2 + 8n n $ 5, , Polynomials, , Page 27, , 76. Which of the following is correct polynomial for the, volume of remaining solid?, (a) x3 + x2 - 10x - 8, (b) x3 + x2 - 10x + 8, (c) x3 + x2 + 10x + 8, (d) x3 + x2 + 10x - 8, Sol : www.cbse.site/ma/bm158, 77. What is the volume of remaining solid at x = 8 inch?, (a) 432 cubic inch, (b) 648 cubic inch, (c) 712 cubic inch, (d) 568 cubic inch, Sol : www.cbse.site/ma/bm158, 78. What is the volume of remaining solid at x = 10, inch?, (a) 1242 cubic inch, (b) 1458 cubic inch, , How many ways the bride can select her bridesmaids, if she chooses from n = 5 girlfriends?, (a) 40, , (c) 1712 cubic inch, , (b) 45, , Sol : www.cbse.site/ma/bm158, , (d) 1192 cubic inch, , (c) 25, (d) 18, Sol : www.cbse.site/ma/bm157, , Direction For Question : (76-78), A cuboidal solid of base x by x + 1 is shown in, figure. Height of original solid is x + 2 . A small, cuboidal solid of base x - 2 by x - 2 and height 2 is, cut from this solid as shown in figure., , Direction For Question : (79-83), RK Fabricators has got a order for making a frame, for machine of their client. For which, they are, using a AutoCAD software to create a constructible, model that includes the relevant information such as, dimensions of the frame and materials needed., , The frame will have a solid base and will be cut out
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 28, of a piece of steel. The final area of the frame should, be 54 sq m. The digram of frame is shown below., , Polynomials, , Chap 2, , Sol : www.cbse.site/ma/bm159, 83. What is the perimeter of the frame?, (a) 36 m, (b) 42 m, (c) 45 m, (d) 39 m, , In order to input the right values in the AutoCAD, software, the engineer needs to calculate some basic, values., 79. What are the dimensions of the outer frame ?, (a) (10 + x) and (5 + x), (b) (10 - x) and (5 - x), (c) (10 + 2x) and (5 + 2x), (d) (10 - 2x) and (5 - 2x), Sol : www.cbse.site/ma/bm159, , Sol : www.cbse.site/ma/bm159, , Direction For Question : (84-88), The Prime Minister’s Citizen Assistance and Relief, in Emergency Situations Fund was created on 28, March 2020, following the COVID-19 pandemic in, India. The fund will be used for combating, and, containment and relief efforts against the coronavirus, outbreak and similar pandemic like situations in the, future., , 80. A metal sheet of minimum area is used to make the, frame. What should be the minimum area of metal, sheet before cutting ?, (a) 4x2 + 30x + 50, (b) x2 + 27x + 55, (c) 5x2 + 30, (d) 4x2 + 50, Sol : www.cbse.site/ma/bm159, 81. What is the area of required final metal frame ?, (a) 4x2 + 30x + 50 m2, (b) x2 + 27x + 55 m2, (c) 4x2 + 50x m2, (d) 4x2 + 30x m2, Sol : www.cbse.site/ma/bm159, 82. If the area of the frame is 54 sq m, what is the value, of x ?, (a) 0.75 m, (b) 3.0 m, (c) 1.5 m, (d) 1.8 m, , The allotment officer is trying to come up with a, method to calculate fair division of funds across, various affected families so that the fund amount, and amount received per family can be easily, adjusted based on daily revised numbers. The total, fund allotted for a village is x3 + 6x2 + 20x + 9 . The, officer has divided the fund equally among families, of the village and each family receives an amount of, x2 + 2x + 2 . After distribution, some amount is left., 84. How many families are there in the village?, (a) x + 4, (b) x - 3, (c) x - 4, (d) x + 3
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 2, , Polynomials, , Page 29, , Sol : www.cbse.site/ma/bm160, 85. If an amount of, is value of x ?, (a) 190, , < 1911 is left after distribution, what, , (b) 290, (c) 191, (d) 291, Sol : www.cbse.site/ma/bm160, 86. How much amount does each family receive?, (a) 24490, (b) 34860, (c) 22540, (d) 36865, Sol : www.cbse.site/ma/bm160, 87. What is the amount of fund allocated?, (a) ` 72 72 759, (b) ` 75 72 681, (c) ` 69 72 846, (d) ` 82 74 888, Sol : www.cbse.site/ma/bm160, , Based on this model answer the following questions:, 89. When no barrels are produce what is a profit loss?, (a) ` 22000, (b) ` 66000, (c) ` 11000, (d) ` 33000, Sol : www.cbse.site/ma/bm161, 90. What is the break even point ? (Zero profit point is, called break even), (a) 10 barrels, (b) 30 barrels, (c) 20 barrels, (d) 100 barrels, , 88. How many families are there in the village?, (a) 191, , Sol : www.cbse.site/ma/bm161, , (b) 98, (c) 187, (d) 195, Sol : www.cbse.site/ma/bm160, , 91. What is the profit/loss if 175 barrels are produced, (a) Profit 266200, (b) Loss 266200, (c) Profit 240250, (d) Loss 240250, , Direction For Question : (89-93), An barrels manufacturer can produce up to 300, barrels per day. The profit made from the sale of, these barrels can be modelled by the function, P (x) =- 10x2 + 3500x - 66000 where P (x) is the, profit in rupees and x is the number of barrels made, and sold., , Sol : www.cbse.site/ma/bm161, 92. What is the profit/loss if 400 barrels are produced, (a) Profit ` 466200, (b) Loss ` 266000, (c) Profit ` 342000, (d) Loss ` 342000
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 30, Sol : www.cbse.site/ma/bm161, 93. What is the maximum profit which can manufacturer, earn?, (a) ` 240250, , Polynomials, , Chap 2, , Sol : www.cbse.site/ma/bm162, 96. How long will the ball take to hit the ground?, (a) 4 seconds, (b) 3 seconds, , (b) ` 480500, , (c) 5 seconds, , (c) ` 680250, , (d) 6 seconds, , (d) ` 240250, Sol : www.cbse.site/ma/bm162, Sol : www.cbse.site/ma/bm161, , Direction For Question : (94-98), Lavanya throws a ball upwards, from a rooftop,, which is 20 m above from ground. It will reach a, maximum height and then fall back to the ground., The height of the ball from the ground at time t is h, , which is given by h =- 4t2 + 16t + 20 ., , 97. What are the two possible times to reach the ball at, the same height of 32 m?, (a) 1 and 3 seconds, (b) 1 and 4 seconds, (c) 1 and 2 seconds, (d) 1 and 5 seconds, Sol : www.cbse.site/ma/bm162, 98. Where is the ball after 5 seconds ?, (a) at the ground, (b) rebounds, (c) at highest point, (d) fall back, Sol : www.cbse.site/ma/bm162, , 94. What is the height reached by the ball after 1 second?, (a) 64 m, (b) 128 m, (c) 32 m, (d) 20 m, Sol : www.cbse.site/ma/bm162, 95. What is the maximum height reached by the ball?, (a) 54 m, (b) 44 m, (c) 36 m, (d) 18 m, , Direction For Question : (99-103), Pyramid, in architecture, a monumental structure, constructed of or faced with stone or brick and, having a rectangular base and four sloping triangular, sides meeting at an apex. Pyramids have been built, at various times in Egypt, Sudan, Ethiopia, western, Asia, Greece, Cyprus, Italy, India, Thailand, Mexico,, South America, and on some islands of the Pacific, Ocean. Those of Egypt and of Central and South, America are the best known.
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 2, , Polynomials, (b), (c), (d), , Page 31, 2, 5, 5, 24, 24, 5, , Sol : www.cbse.site/ma/bm163, 103. What is surface area of pyramid ?, (a) 800 m2, (b) 2400 m2, (c) 1200 m2, (d) 1600 m2, The volume and surface area of a pyramid with a, square base of area a2 and height h is given by, ha2, 2, V = 3 and S = a2 + 2a ^ a2 h + h2, A pyramid has a square base and a volume of, 3y 3 + 18y2 + 27y cubic units., 99. If its height is y , then what polynomial represents, the length of a side of the square base ?, (a) 9 (y + 3), (b) 9 (y + 3) 2, (c) 3 (y + 3), (d) 3 (y + 3) 2, , Sol : www.cbse.site/ma/bm163, , Direction For Question : (104-108), Underground water tank is very popular in India., It is usually used for large water tank storage and, can be built cheaply using cement-like materials., Underground water tank are typically chosen by, people who want to save space. The water in the, underground water tank is not affected by extreme, weather conditions. The underground water tank, maintain cool temperatures in both winter and, summer., , Sol : www.cbse.site/ma/bm163, 100. If area of base is 576 metre, what is the side of base?, (a) 24 metre, (b) 16 metre, (c) 13 metre, (d) 12 metre, Sol : www.cbse.site/ma/bm163, 101. What is the height of pyramid at above area of base?, (a) 4 metre, (b) 6 metre, (c) 5 metre, (d) 12 metre, Sol : www.cbse.site/ma/bm163, 102. What is the ratio of length of side to the height ?, (a) 15, , A builder wants to build a tank to store water in an, apartment. The volume of the rectangular tank will, be modelled by V (x) = x 3 + x2 - 4x - 4 ., 104. He planned in such a way that its base dimensions, are (x + 1) and (x + 2) . How much he has to dig ?, (a) (x + 1), (b) (x - 2), (c) (x - 3)
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 32, , Polynomials, , Chap 2, , (d) (x + 2), , (d) - 45, , Sol : www.cbse.site/ma/bm164, , Solution is given in hard book., , 105. If x = 4 meter, what is the volume of the water tank?, (a) 30 m3, (b) 20 m3, (c) 15 m3, , 110. The sum and product of zeroes of a quadratic, polynomial are 6 and 9 respectively. The quadratic, polynomial will be, (a) x2 + 9x - 6, , (d) 60 m3, , (b) x2 + 6x + 9, , Sol : www.cbse.site/ma/bm164, , (d) x2 + 6x - 9, , 106. If x = 4 and the builder wants to paint the entire, inner portion on the water tank, what is the total, area to be painted ?, (a) 52 m2, (b) 96 m2, , (c) x2 - 6x + 9, , Solution is given in hard book., 111. Select the quadratic polynomial whose sum and, product of a the zeroes are 218 and 165 respectively, (a) 16x2 - 42x + 5, , (c) 208 m2, , (b), , (d) 104 m2, , (c), (d), , 1, 16, 1, 12, 1, 12, , ^16x2 - 42x + 5h, ^16x2 + 42x + 5h, ^16x2 + 42x - 5h, , Sol : www.cbse.site/ma/bm164, Solution is given in hard book., 107. If the cost of paint is ` 25/ per square metre, what, is the cost of painting ?, (a) ` 3900, (b) ` 2600, , 112. Select the quadratic polynomial p ^x h with 3 and - 25, as sum and product of its zeroes, respectively., (a) x2 - 3x - 25, , (c) ` 1300, , (b) x2 - 3x - 2, , (d) ` 5200, , (c) 5x2 - 15x - 2, (d) 15x2 - 5x + 25, , Sol : www.cbse.site/ma/bm164, Sol : www.cbse.site/ma/bm212, 108. What is the storage capacity of this water tank ?, (a) 3000 litre, (b) 6000 litre, (c) 60000 litre, (d) 30000 litre, Sol : www.cbse.site/ma/bm164, 109. If a and b are the zeroes the polynomial 2x2 - 4x + 5,, the value of 12 + 12 is, a, b, (a) 254, (b) - 254, (c), , 4, 5, , 113. If m and n are the zeroes of the polynomial, 3x2 + 11x - 4 , then value of mn + mn will be, 12, (a) 145, 12, (b) - 145, , (c) - 145, 12, (d), , 145, 12, , Solution is given in hard book., 114. If - 1 is a zero of the polynomial p ^x h = kx2 - 4x + k, , the value of k is, (a) –4
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 2, , Polynomials, , (b) –2, (c) 2, , the value of a2 + b2 is, (a) 2, , (d) 4, , (b) 1, , Page 33, , (c) - 1, (d) - 6, , Solution is given in hard book., 115. If a and b are the zeroes of a polynomial, x2 - 4 3 x + 3, then the value of a + b - ab will be, (a) 3 ^2 - 3 h, (b), , 3 ^2 +, , 3h, , 3 ^4 -, , 3h, , 3 ^4 +, , (c), (d), , 3h, , Solution is given in hard book., 120. If one zero of the polynomial 2x2 + 3x + l is 12 , what, is the value of l and the other zero?, (a) –2 and –2, (b) –3 and –3, (c) –2 and –3, (d) –3 and –2, , Solution is given in hard book., 116. If a and b are the zeroes of polynomial x2 + ax + b ,, the values of a and b are, (a) 1 and 2, (b) 1 and –2, (c) –2 and 1, (d) 2 and 1, , Solution is given in hard book., 121. If a and b are zeroes of the polynomial, f ^x h = x2 - x - k , such that a - b = 9 , the value of, k will be, (a) 20, (b) 30, (c) 60, , Solution is given in hard book., , (d) 18, 117. The zeroes of the quadratic polynomial x2 - 2 2 x, are, (a) 1 and 2 2, , Solution is given in hard book., 122. If a, b and g are zeroes of the polynomial, 6x3 + 3x2 - 5x + 1, then value of a-1 + b-1 + g-1 will, be, (a) 5, , (b) 0 and 2 2, (c) 0 and 1, (d) 1 and 2, , (b) 4, , Solution is given in hard book., , (c) 3, (d) 2, , 118. The zeroes of the quadratic polynomial 5x2 + 8x - 4, are, (a) –2 and 25, 5, 2, , (b) –3 and, (c) - 32 and, (d), , 1, 2, , and, , Solution is given in hard book., 123. When p ^x h = x2 + 7x + 9 is divisible by g ^x h , we, get ^x + 2h and - 1 as the quotient and remainder, respectively. The polynomial g ^x h will be, (a) x + 2, , 1, 2, , 3, 2, , Solution is given in hard book., , (b) x - 1, (c) x + 6, 2, , 119. If a and b are the zeroes the polynomial 2x - 4x + 5,, , (d) x + 5
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 34, Solution is given in hard book., 124. Select, the, value, for, for, which, k, x 4 + 10x3 + 25x2 + 15x + k is exactly divisible by, x + 7., (a) –102, (b) –91, , Polynomials, , Chap 2, , such that a + b = 12 ab , value of k will be, (a) –2, (b) 0, (c) 3, (d) –5, Solution is given in hard book., , (c) –103, (d) –104, Solution is given in hard book., 125. On dividing the polynomial 4x 4 - 5x3 - 39x2 - 46x - 2, by the polynomial g ^x h , the quotient is x2 - 3x - 5, and the remainder is - 5x + 8 . The polynomial g ^x h, will be, (a) 2x2 + 7x + 1, (b) 2x2 - 7x + 2, (c) 4x2 + 7x + 2, (d) 2x2 + 7x + 1, Solution is given in hard book., 126. If the squared difference of the zeroes of the quadratic, polynomial f ^x h = x2 + px + 45 is equal to 144, the, value of p will be, (a) 21, (b) 18, , Direction For Question : (21-22), Polynomial x 4 + 7x3 + 7x2 + px + q is exactly divisible, by x2 + 7x + 12 ., 129. The value of p will be, (a) -35, (b) -25, (c) -15, (d) -60, Solution is given in hard book., 130. The value of q will be, (a) -35, (b) -25, (c) -15, (d) -60, Solution is given in hard book., , (c) –21, (d) –31, Solution is given in hard book., 127. If the zeroes of the polynomial x2 + px + q are double, in value to the zeroes of 2x2 - 5x - 3 , the value of p, and q will be, (a) –2 and –3, (b) –6 and –5, , 131. If a and b are the zeroes of the polynomial, satisfying, the, relation,, p ^x h = 2x2 + 5x + k, a2 + b2 + ab = 214 , then find the value of k ., (a) 4, (b) 3, (c) 2, (d) 1, Solution is given in hard book., , (c) –5 and –6, (d) –3 and –2, Solution is given in hard book., 128. If a and b are zeroes of x2 - ^k - 6h x + 2 ^2k - 1h ,, , Direction For Question : (132-133), Let a and b are the zeroes of polynomial, p ^x h = 3x2 + 2x + 1. Let a 1 and b 1 are zeroes of new, 1-b, ., polynomial q (x) where a 1 = 1 - a and b 1 =, 1+a, 1+b
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 2, , Polynomials, , 132. Which of the following is the value of a 1 + b 1 ?, (a) 1, (b) 2, , Page 35, , Solution is given in hard book., 137. Which of the following is the polynomial q (x) ?, (a) 53 x2 - 165 x + 165, , (c) 3, (d) 4, , (b) 3x2 - 163 x + 163, , Solution is given in hard book., 133. Which of the following is the value of a 1 b 1 ?, (a) 1, (b) 2, , (c), (d), , 1, 3, 1, 5, , 2, ^3x - 16x + 16h, 2, ^3x - 16x + 16h, , Solution is given in hard book., 138. If a and b are zeroes of the polynomial, p (x) = 6x2 - 5x + k such that a - b = 16 , The value, of k will be, (a) 1, , (c) 3, (d) 4, Solution is given in hard book., , (b) 2, (c) 3, , 134. Which of the following is the polynomial q (x) ?, (a) x2 + 3x - 2, (b) x2 - 3x + 2, , (d) 4, Solution is given in hard book., , 2, , (c) x - 2x + 3, (d) x2 + 2x - 3, Solution is given in hard book., , Direction For Question : (135-136), Let a and b are the zeroes of polynomial x2 + 4x + 3, , Let a 1 and b 1 are zeroes of new polynomial q (x), where a 1 = 1 + ab and b 1 = 1 + ab ., 135. Which of the following is the value of a 1 + b 1 ?, 16, (a) 3, (b), , 16, 5, , (c), , 14, 3, , (d), , 14, 5, , Solution is given in hard book., , Direction For Question : (31-32), Let b and 1b are zeroes of the polynomial, 2, 2, ^a + a h x + 61x + 6a ., 139. The value of a will be, (a) 2, (b) 4, (c) 5, (d) 7, Solution is given in hard book., 140. The value of b will be, (a) 65, (b) - 56, (c) 5, (d) 7, , 136. Which of the following is the value of a 1 b 1 ?, 16, (a) 3, (b), , 16, 5, , (c), , 14, 3, , (d), , 14, 5, , Solution is given in hard book., 141. If a and b are the zeroes of the polynomial, f ^x h = x2 - 6x + k , such that a2 + b2 = 40 . The value, of k will be, (a) 0
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 36, , Polynomials, , 146. Quadratic polynomial 2x2 - 3x + 1 has zeroes as, a and b . Which of the following is the quadratic, polynomial whose zeroes are 3a and 3b ?, (a) 2x + 9x - 9, , (b) –4, (c) –2, (d) –3, Solution is given in hard book., 142. If one of the zeroes of the quadratic polynomial, f ^x h = 14x2 - 42k2 x - 9 is negative of the other, the, value of k is, (a) 0, (c) 2, (d) 3, Solution is given in hard book., 143. If the sum and product of the zeroes of the polynomial, ax2 - 5x + c are equal to 10 each, the values of a and, c are, (a) 6 and 32, (c), , 3, 2, 1, 2, , (b) 2x - 9x + 9, (c) x2 - 92 x + 92, (d) x2 - 9x + 9, Solution is given in hard book., 147. If a and b are the zeroes of the polynomial, 6y2 - 7y + 2, Select the quadratic polynomial whose, zeroes are a1 and 1b ., (a) y2 + 7y + 6, , (b) 1, , (b), , Chap 2, , and 6, and 5, , (d) 5 and, , 1, 2, , (b) y2 + 7y - 6, (c) y2 - 7y + 6, (d) y2 - 3.5y + 3, Solution is given in hard book., 148. The zeroes of the polynomial 4x2 + 4x - 3 is/are, (a) 12, (b), , -3, 2, , (c) both, Solution is given in hard book., 144. If one the zero of a polynomial 3x2 - 8x + 2k + 1 is, seven times the other, the value of k will be, (a) 13, (b), (c), , 2, 3, 3, 2, , (d) 0, Solution is given in hard book., 145. If a and b are the zeroes the polynomial 2x2 - 4x + 5,, the value of 1 + 1 is, a b, (a) 254, (b) - 254, (c), , 4, 5, , (d) - 45, Solution is given in hard book., , (d) none, Solution is given in hard book., , ***********
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 3, , Pair of Linear Equation in Two Variables, , Page 37, , CHAPTER 3, PAIR OF LINEAR EQUATION IN TWO VARIABLES, 1., , The value of k for which the system of linear equations, x + 2y = 3 , 5x + ky + 7 = 0 is inconsistent is, (a) - 14, 3, 2, (b), 5, , 5., , (b) 63, (c) 48, , (c) 5, , (d) 84, , (d) 10, , Sol : www.cbse.site/ma/cm105, , Sol : www.cbse.site/ma/cm101, 2., , The value of k for which the system of equations, x + y - 4 = 0 and 2x + ky = 3 , has no solution, is, (a) - 2, , 6., , If 3x + 4y : x + 2y = 9 : 4 , then 3x + 5y : 3x - y is, equal to, (a) 4 : 1, (b) 1 : 4, , (b) ! 2, , (c) 7 : 1, , (c) 3, , (d) 1 : 7, , (d) 2, , Sol : www.cbse.site/ma/cm106, , Sol : www.cbse.site/ma/cm102, 3., , In a number of two digits, unit’s digit is twice the, tens digit. If 36 be added to the number, the digits, are reversed. The number is, (a) 36, , For which value(s ) of p , will the lines represented, by the following pair of linear equations be parallel, , 7., , 3x - y - 5 = 0, 6x - 2y - p = 0, (a) all real values except 10, , A fraction becomes 4 when 1 is added to both, the numerator and denominator and it becomes 7, when 1 is subtracted from both the numerator and, denominator. The numerator of the given fraction is, (a) 2, (b) 3, , (b) 10, , (c) 5, , (c) 5/2, , (d) 15, , (d) 1/2, , Sol : www.cbse.site/ma/cm107, , Sol : www.cbse.site/ma/cm103, 8., 4., , 5, 6, , The 2 digit number which becomes th of itself when, its digits are reversed. The difference in the digits of, the number being 1, then the two digits number is, (a) 45, , x and y are 2 different digits. If the sum of the two, digit numbers formed by using both the digits is a, perfect square, then value of x + y is, (a) 10, (b) 11, , (b) 54, , (c) 12, , (c) 36, , (d) 13, , (d) None of these, , Sol : www.cbse.site/ma/cm108, , Sol : www.cbse.site/ma/cm104
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 38, 9., , Pair of Linear Equation in Two Variables, , The pair of equations 3x + y = 81, 81x - y = 3 has, (a) no solution, , (b) intersecting at (b, a), , (b) unique solution, , (d) intersecting at (a, b), , (c) coincident, , (c) infinitely many solutions, (d) x = 2 1 , y = 1 7, 8, 8, Sol : www.cbse.site/ma/cm109, , Sol : www.cbse.site/ma/cm114, , 10. The pair of linear equations 2kx + 5y = 7 ,, 6x - 5y = 11 has a unique solution, if, (a) k !- 3, (b) k ! 2, 3, (c) k ! 5, (d) k ! 2, 9, Sol : www.cbse.site/ma/cm110, , 11. The pair of equations, - 3x - 6y + 1 = 0 has, (a) a unique solution, , Chap 3, , x + 2y + 5 = 0, , and, , (b) exactly two solutions, (c) infinitely many solutions, (d) no solution, Sol : www.cbse.site/ma/cm111, 12. If a pair of linear equations is consistent, then the, lines will be, (a) parallel, (b) always coincident, (c) intersecting or coincident, (d) always intersecting, Sol : www.cbse.site/ma/cm112, 13. The pair of equations y = 0 and y =- 7 has, (a) one solution, , 15. For what value of k , do the equations 3x - y + 8 = 0, and 6x - ky =- 16 represent coincident lines ?, (a) 1, 2, (b) - 12, (c) 2, (d) - 2, Sol : www.cbse.site/ma/cm115, 16. If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0, are parallel, then the value of k is, (a) - 5, 4, (b) 2, 5, 15, (c), 4, (d) 3, 2, Sol : www.cbse.site/ma/cm116, 17. The value of c for which the pair of equations, cx - y = 2 and 6x - 2y = 3 will have is, (a) 3, (b) - 3, (c) - 12, (d) no value, Sol : www.cbse.site/ma/cm117, 18. One equation of a pair of dependent linear equations, - 5x + 7y = 2 The second equation can be, (a) 10x + 14y + 4 = 0, (b) - 10x - 14y + 4 = 0, , (b) two solutions, , (c) - 10x + 14y + 4 = 0, , (c) infinitely many solutions, , (d) 10x - 14y = - 4, , (d) no solution, , Sol : www.cbse.site/ma/cm118, , Sol : www.cbse.site/ma/cm113, 14. The pair of equations x = a and y = b graphically, represents lines which are, (a) parallel, , 19. If x = a and y = b is the solution of the equations, x - y = 2 and x + y = 4 , then the values of a and b
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 3, , Pair of Linear Equation in Two Variables, , are, respectively, (a) 3 and 5, (b) 5 and 3, (c) 3 and 1, (d) - 1 and - 3, Sol : www.cbse.site/ma/cm119, 20. Aruna has only < 1 and < 2 coins with her. If the, total number of coins that she has is 50 and the, amount of money with her is < 75, then the number, of < 1 and < 2 coins are, respectively, (a) 35 and 15, , Page 39, , solution if k = 2 ., Reason : a1 x + b1 y + c1 = 0 and a2 x + b2 y + c2 = 0, are consistent if a1 ! k1 ., a2, k2, (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., (c) Assertion (A) is true but reason (R) is false., (d) Assertion (A) is false but reason (R) is true., Sol : www.cbse.site/ma/cm123, , (b) 35 and 20, (c) 15 and 35, (d) 25 and 25, Sol : www.cbse.site/ma/cm120, 21. The father’s age is six times his son’s age. Four years, hence, the age of the father will be four times his, son’s age. The present ages (in year) of the son and, the father are, respectively., (a) 4 and 24, (b) 5 and 30, (c) 6 and 36, (d) 3 and 24, Sol : www.cbse.site/ma/cm121, , 24. If the equations kx - 2y = 3 and 3x + y = 5 represent, two intersecting lines at unique point, then the value, of k is ........... ., (a) k =- 6, (b) k !- 6, (c) k = 4, (d) k ! 4, Sol : www.cbse.site/ma/cm124, 25. What do you say about the solution of the pair of, linear equations y = 0 and y =- 5 ?, (a) no solution, (b) unique solution, (c) infinitely solution, , 22. Assertion : Pair of linear equations : 9x + 3y + 12 = 0,, 8x + 6y + 24 = 0 have infinitely many solutions., Reason : Pair of linear equations a1 x + b1 y + c1, = 0 and a2 x + b2 y + c2 = 0 have infinitely many solutions, if a1 = b1 = c1, a2 b2 c2, (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., , (d) can’t say anything, Sol : www.cbse.site/ma/cm125, 26. If am = bl, then what do you say about the solution, of the pair of linear equations ax + by = c and, lx + my = n ?, (a) no solution, (b) unique solution, , (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., , (c) infinitely solution, , (c) Assertion (A) is true but reason (R) is false., , Sol : www.cbse.site/ma/cm126, , (d) can’t say anything, , (d) Assertion (A) is false but reason (R) is true., Sol : www.cbse.site/ma/cm122, 23. Assertion : x + y - 4 = 0 and 2x + ky - 3 = 0 has no, , 27. If ad ! bc, then what do you say about the solution, of the pair of linear equations ax + by = p and, cx + dy = q ?, (a) no solution
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 40, , Pair of Linear Equation in Two Variables, , (b) unique solution, , (a) Lines are parallel, , (c) infinitely solution, , (b) pair of linear equation is consistent, , (d) can’t say anything, , (c) pair of linear equation is inconsistent, , Sol : www.cbse.site/ma/cm127, , (d) Lines are coincident, , Chap 3, , Sol : www.cbse.site/ma/cm132, 28. Two lines are given to be parallel. The equation of, one of the lines is 4x + 3y = 14 , then the equation of, the second line will be, (a) 12x + 9x = 42, (b) 12x + 9y = 5, (c) 12x + 9y = 15, (d) 12x + 9y = 32, Sol : www.cbse.site/ma/cm128, 29. Which of the following value of k should be selected, so that the pair of equations x + 2y = 5 and, 3x + ky + 15 = 0 has a unique solution ?, (a) k ! 5, (b) k ! 6, , 33. What do you say about the lines represented by ?, 2x + 3y - 9 = 0 and 4x + 6y - 18 = 0, (a) lines are parallel, (b) lines are coincident, (c) lines are intersecting, (d) can’t say anything, Sol : www.cbse.site/ma/cm133, 34. Given the linear equation 3x + 4y = 9 . Select another, linear equation in these two variables such that the, geometrical representation of the pair so formed is, intersecting lines., (a) 3x - 5y = 10, , (c) k = 5, , (b) 6x + 8y = 18, , (d) k = 6, , (c) 8x + 12y = 18, , Sol : www.cbse.site/ma/cm129, , (d) above all, Sol : www.cbse.site/ma/cm134, , 30. If 2x + y = 23 and 4x - y = 19 , the value of (5y - 2x), and ^ yx - 2h will be, (a) - 75 and 31, (b) 31 and - 75, (c) 37 and, (d), , 2, 7, , 2, 7, , and 37, , Sol : www.cbse.site/ma/cm130, , 35. For what value of p does the pair of linear equations, given below has unique solution ?, 4x + py + 8 = 0 and 2x + 2y + 2 = 0 ., (a) p = 1, (b) p = 2, (c) p ! 4, (d) p ! 2, , 31. What do you say about the lines represented by, 2x + y = 3 and 4x + 2y = 6 ?, (a) lines are parallel, (b) lines are coincident, (c) lines are intersecting, (d) can’t say anything, Sol : www.cbse.site/ma/cm131, 32. What do you say about the following pair of linear, equation ?, 3x + 2y = 8 , 6x - 4y = 9, , Sol : www.cbse.site/ma/cm135, 36. For what value of k , the pair of linear equations, kx - 4y = 3, 6x - 12y = 9 has an infinite number of, solutions ?, (a) k = 2, (b) k ! 2, (c) k ! 3, (d) k = 4, Sol : www.cbse.site/ma/cm136
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 3, , Pair of Linear Equation in Two Variables, , 37. For what value of k , the system of equations, kx + 3y = 1, 12x + ky = 2 has no solution., (a) k =- 6, , 41. What are the values of x and y for the following, system of linear equations ?, 2x - y = 2, , (b) k !- 6, (c) k = 4, (d) k =- 4, Sol : www.cbse.site/ma/cm137, , Page 41, , x + 3y = 15, (a) 4 and 5, (b) 3 and 4, (c) 5 and 4, (d) 4 and 4, , 38. What are the values of x and y for the following pair, of linear equations ?, 3x + 2y - 7 = 0, 4x + y - 6 = 0, (a) 1 and 2, (b) 2 and 2, , Sol : www.cbse.site/ma/cm141, 42. Select the value of k for which the pair of Linear, equations kx + y = d2 and x + ky = 1 have infinitely, many solutions., (a) 1, , (c) 1 and 1, , (b) 2, , (d) –1 and –1, , (c) 3, , Sol : www.cbse.site/ma/cm138, , (d) 4, Sol : www.cbse.site/ma/cm142, , 39. In the figure given below, ABCD is a rectangle. The, values of x and y will be, , 43. What are the values of x and y for the following, system of equations., 21 + 47 = 110 , 47 + 21 = 162 , x , y ! 0, x, y, x, y, (a) 13 and 12, (b), (c), (d), , (a) 3 and 19, , 1, 3, 1, 2, 1, 2, , and 1, and, , 1, 3, , and 1, , Sol : www.cbse.site/ma/cm143, , (b) 19 and 3, (c) 4 and 18, (d) 18 and 4, Sol : www.cbse.site/ma/cm139, , 44. A fraction becomes 13 when 2 is subtracted from the, numerator and it becomes 12 when 1 is subtracted, from the denominator. The fraction will be, (a) 157, (b), , 40. What are the values of x and y for the following pair, of linear equations ?, 99x + 101y = 499 and 101x + 99y = 501, (a) 3 and 6, , (c), (d), , 8, 15, 6, 15, 9, 15, , Sol : www.cbse.site/ma/cm144, , (b) 3 and 2, (c) 2 and 3, (d) 6 and 3, Sol : www.cbse.site/ma/cm140, , 45. In the figure, ABCDE is a pentagon with BE z CD, and BC z DE . BC is perpendicular to CD., AB = 5 cm, AE = 5 cm, BE = 7 cm, BC = x - y, and CD = x + y. If the perimeter of ABCDE is 27
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 42, , Pair of Linear Equation in Two Variables, , cm. The value of x and y , will be, , Chap 3, , 49. Sum of the ages of a father and the son is 40 years. If, father’s age is three times that of his son, then what, is father age ?, (a) 22 years, (b) 28 years, (c) 30 years, (d) 24 years, Sol : www.cbse.site/ma/cm149, , (a) 3 and 2, (b) 2 and 3, (c) 1 and 6, , 50. What are the values of x and y for the following, system of equation ?, x + 2y = - 1, 2, 3, x-, , (d) 6 and 1, Sol : www.cbse.site/ma/cm145, , y, =3, 3, , (a) –3 and 2, (b) 2 and –3, , 46. Half the perimeter of a rectangular garden, whose, length is 4 m more then its width, is 36 m. The, dimensions of garden will be, (a) 20 m by 16 m, (b) 36 m by 10 m, (c) 16 m by 30 m, (d) 20 m by 16 m, Sol : www.cbse.site/ma/cm146, 47. For what value of p will the following system of, equations have no solution ?, , ^2p - 1h x + ^p - 1h y = 2p + 1; y + 3x - 1 = 0, (a) p = 2, (b) p ! 2, (c) p = 4, (d) p ! 4, Sol : www.cbse.site/ma/cm147, 48. For what value of k the following pair of equations, has no solution :, x + 2y = 3 , ^k - 1h x + ^k + 1h y = ^k + 2h ., (a) k = 3, (b) k ! 3, (c) k = 4, (d) k ! 4, Sol : www.cbse.site/ma/cm148, , (c) 1 and 4, (d) 4 and 1, Sol : www.cbse.site/ma/cm150, 51. What are the values of x and y for the following, system of equation ?, 8x + 5y = 9, 3x + 2y = 4, (a) 2 and –5, (b) –5 and 2, (c) –2 and 5, (d) 5 and –2, Sol : www.cbse.site/ma/cm151, , Direction For Question : (52-53), 2 man and 7 boys can do a piece of work in 4 days., It is done by 4 men and 4 boys in 3 days. How long, would it take for one man or one boy to do it ?, 52. How long would it take for one boy to do it ?, (a) 45 days, (b) 60 days, (c) 15 days, (d) 25 days, Sol : www.cbse.site/ma/cm152
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 3, , Pair of Linear Equation in Two Variables, ax + by = a + b, 2, 3x + 5y = 4, , 53. How long would it take for one man to do it ?, (a) 13 days, (b) 14 days, (c) 16 days, (d) 15 days, Sol : www.cbse.site/ma/cm152, 54. In an election contested between A and B, A, obtained votes equal to twice the no. of persons on, the electoral roll who did not cast their votes and, this later number was equal to twice his majority, over B . If there were 1,8000 persons on the electoral, roll. How many votes for B ., (a) 2000, , Page 43, , 56. What is the value of x ?, (a) 12, (b), (c), (d), , 1, 3, 1, 4, 1, 5, , Sol : www.cbse.site/ma/cm155, 57. What is the value of y ?, (a) 12, (b), , 1, 3, 2, 3, 1, 4, , (b) 8000, , (c), , (c) 6000, , (d), , (d) 1000, , Sol : www.cbse.site/ma/cm155, , Sol : www.cbse.site/ma/cm153, 55. In the figure below ABCDE is a pentagon with, BE | | CD and BC | | DE. BC is perpendicular to DC., If the perimeter of ABCDE is 21 cm, what is the, value of x ?, , Direction For Question : (58-60), Solve the following pair of equations for x and y :, 4x + 6 = 15, 6x - 8 = 14, y, y, and also find the value of p such that y = px - 2 ., 58. What is the value of x ?, (a) 3, (b) 4, (c) 5, (d) 6, Sol : www.cbse.site/ma/cm156, 59. What is the value of y ?, (a) 1, (b) 2, , (a) 5, , (c) 3, , (b) 0, , (d) 4, , (c) 3, , Sol : www.cbse.site/ma/cm156, , (d) 2, Sol : www.cbse.site/ma/cm154, , 60. What is the value of p such that y = px - 2 ?, (a) 43, (b), , Direction For Question : (56-57), Solve the following pair of equations for x and y :, , (c), (d), , 2, 3, 1, 3, 1, 4
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 44, , Pair of Linear Equation in Two Variables, , Sol : www.cbse.site/ma/cm156, 61. A chemist has one solution which is 50 ~ acid and a, second which is 25 ~ acid. How much of each should, be mixed to make 10 litre of 40 ~ acid solution., (a) 6 litre of 50 ~ acid and 4 litre of 25 ~ acid, (b) 4 litre of 50 ~ acid and 6 litre of 25 ~ acid, , Chap 3, , 65. How long would it take for smaller pipe to fill the, pool separately?, (a) 10 hours, (b) 20 hours, (c) 30 hours, (d) 35 hours, Sol : www.cbse.site/ma/cm159, , (c) 3 litre of 50 ~ acid and 2 litre of 25 ~ acid, (d) 2 litre of 50 ~ acid and 3 litre of 25 ~ acid, Sol : www.cbse.site/ma/cm157, , Direction For Question : (62-63), A man can row a boat downstream 20 km in 2 hours, and upstream 4 km in 2 hours., 62. What is his speed of rowing in still water ?, (a) 2 km/hr, , Direction For Question : (66-67), The total cost of a certain length of a piece of cloth is, , <200. If the piece was 5 m longer and each metre of, cloth costs <2 less, the cost of the piece would have, , remained unchanged., , 66. How long is the piece ?, (a) 18 m, (b) 20 m, , (b) 3 km/hr, , (c) 22 m, , (c) 6 km/hr, , (d) 15 m, , (d) 8 km/hr, , Sol : www.cbse.site/ma/cm160, , Sol : www.cbse.site/ma/cm158, 63. What is the speed of the stream ?, (a) 1 km/hr, , 67. What is its original rate per metre ?, (a) < 12, , (c) 4 km/hr, , < 15, (c) < 10, (d) < 16, , (d) 0.5 km/hr, , Sol : www.cbse.site/ma/cm160, , (b) 3 km/hr, , (b), , Sol : www.cbse.site/ma/cm158, 68. In Figure, ABCD is a rectangle. The values of x and, y will be, Direction For Question : (64-65), It can take 12 hours to fill a swimming pool using, two pipes. If the pipe of larger diameter is used for, four hours and the pipe of smaller diameter for 9, hours, only half of the pool can be filled., 64. How long would it take for larger pipe to fill the pool, separately?, (a) 10 hours, (b) 20 hours, (c) 30 hours, (d) 35 hours, Sol : www.cbse.site/ma/cm159, , (a) 20 cm, (b) 24 cm, (c) 22 cm, (d) 18 cm, Sol : www.cbse.site/ma/cm161
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 3, , Pair of Linear Equation in Two Variables, , 69. 4 chairs and 3 tables cost Rs 2100 and 5 chairs and, 2 tables cost Rs 1750. What is the cost of one chair, and one table separately?, (a) Rs 150 and Rs 500, (b) Rs 500 and Rs 150, , Page 45, , (b) 600 km, (c) 400 km, (d) 300 km, Sol : www.cbse.site/ma/cm164, , (c) Rs 250 and Rs 400, (d) Rs 400 and Rs 250, Sol : www.cbse.site/ma/cm162, , Direction For Question : (70-71), Solve the following pair of equations :, 3x - 5y - 4 = 0 and 9x = 2y + 7, 70. What is the value of y, (a) - 132, (b) - 135, (c), (d), , 2, 13, 9, 13, , Sol : www.cbse.site/ma/cm163, , Direction For Question : (74-75), The ratio of incomes of Ram and Shyam is 11:7 and, the ratio of their expenditures is 9:5. Each of them, manages to save ` 400 per month., 74. What is monthly incomes of Ram?, (a) ` 2200, (b) ` 1400, (c) ` 1100, (d) ` 700, Sol : www.cbse.site/ma/cm165, 75. What is monthly income of Shyam?, (a) ` 2200, (b) ` 1400, , 71. What is the value of x, (a) - 132, (b) - 135, (c), (d), , 2, 13, 9, 13, , Sol : www.cbse.site/ma/cm163, , Direction For Question : (72-73), A train covered a certain distance at a uniform speed., If the train would have been 10 km/hr scheduled, time. And, if the train were slower by 10 km/hr, it, would have taken 3 hr more than the scheduled time., 72. What is the actual speed of train?, (a) 50 kmph, , (c) ` 1100, (d) ` 700, Sol : www.cbse.site/ma/cm165, , Direction For Question : (76-77), Two point A and B are 150 km apart on a highway., Two cars start from A and B at the same time. If, they move in the same direction they meet in 15, hours. But if they move in the opposite direction,, they meet in 1 hours., 76. Speed of the car starting form A is, (a) 50 kmph, (b) 60 kmph, (c) 40 kmph, , (b) 60 kmph, , (d) 80 kmph, , (c) 40 kmph, , Sol : www.cbse.site/ma/cm166, , (d) 30 kmph, Sol : www.cbse.site/ma/cm164, 73. What is the distance covered by the train?, (a) 200 km, , 77. Speed of the car starting form B is, (a) 50 kmph, (b) 30 kmph, (c) 90 kmph
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 46, , Pair of Linear Equation in Two Variables, , (d) 70 kmph, Sol : www.cbse.site/ma/cm166, 78. If 2 is subtracted from the numerator and 1 is added, to the denominator, a fraction becomes 12 , but when, 4 is added to the numerator and 3 is subtracted from, the denominator, it becomes 32 . The fraction will be, (a) 112, (b), (c), (d), , 7, 111, 8, 11, 5, 11, , Chap 3, , 82. The area of a rectangle gets reduced by 9 square units,, if its length is reduced by 5 units and the breadth, is increased by 3 units. The area is increased by 67, square units if length is increased by 3 units and, breadth is increased by 2 units. The perimeter of the, rectangle will be, (a) 52 units, (b) 58 units, (c) 46 units, (d) 48 units, Sol : www.cbse.site/ma/cm170, , Sol : www.cbse.site/ma/cm167, , Direction For Question : (79-80), If a bag containing red and white balls, half the, number of white balls is equal to one-third the, number of red balls. Thrice the total number of balls, exceeds seven times the number of white balls by 6., 79. How many balls of white colour does the bag contain, ?, (a) 10, , Direction For Question : (83-84), Solve the following pair of equations :, 2 ^3x - y h = 5xy, 2 ^x + 3y h = 5xy ., 83. What is the value of x ?, (a) 1, (b) 2, (c) 3, (d) 4, Sol : www.cbse.site/ma/cm171, , (b) 12, (c) 14, (d) 18, Sol : www.cbse.site/ma/cm168, , 84. What is the value of y ?, (a) 1, (b) 2, (c) 3, , 80. How many balls of red colour does the bag contain ?, (a) 10, (b) 12, , (d) 4, Sol : www.cbse.site/ma/cm171, , (c) 14, (d) 18, Sol : www.cbse.site/ma/cm168, 81. A two digit number is obtained by either multiplying, the sum of digits by 8 and then subtracting 5 or by, multiplying the difference of digits by 16 and adding, 3. The number will be, (a) 83, (b) 98, (c) 77, (d) 53, Sol : www.cbse.site/ma/cm169, , 85. The students of a class are made to stand in rows. If, 3 students are extra in a row, there would be 1 row, less. If 3 students are less in a row, there would be, 2 rows more. The number of students in the class, will be, (a) 24, (b) 36, (c) 32, (d) 28, Sol : www.cbse.site/ma/cm172
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 3, , Pair of Linear Equation in Two Variables, , Direction For Question : (86-87), The ages of two friends Ani and Biju differ by 3, years. Ani’s father Dharam is twice as old as ani and, Biju is twice as old as his sister Cathy. The ages of, Cathy and Dharam differ by 30 year. Find the ages, of Ani and Biju., 86. The age of Ani is, (a) 16 year, , Page 47, , and return in 5 hours., 90. The speed of the boat in still water will be, (a) 10 km/hr, (b) 4 km/hr, (c) 12 km/hr, (d) 16 km/hr, Sol : www.cbse.site/ma/cm176, , (b) 19 year, (c) 20 years, (d) 24 years, Sol : www.cbse.site/ma/cm173, , 91. The speed of the stream will be, (a) 10 km/hr, (b) 4 km/hr, (c) 12 km/hr, , 87. The age of Biju is, (a) 16 year, , (d) 16 km/hr, Sol : www.cbse.site/ma/cm176, , (b) 19 year, (c) 20 years, (d) 24 years, Sol : www.cbse.site/ma/cm173, 88. One says, “Give me a hundred, friend! I shall then, become twice as rich as you.” The other replies, “If, you give me ten, I shall be six times as rich as you.”, What is the amount of their (respective) capital ?, (a) Rs 80 and Rs 190, (b) Rs 20 and Rs 160, (c) Rs 40 and Rs 170, (d) Rs 100 and Rs 200, Sol : www.cbse.site/ma/cm174, 89. A fraction become 119 if 2 is added to both numerator, and denominator. If 3 is added to both numerator, and denominator it becomes 56 . The fraction will be, (a) 115, (b), (c), (d), , 5, 9, 7, 9, 6, 11, , Sol : www.cbse.site/ma/cm175, , Direction For Question : (90-91), A motor boat can travel 30 km upstream and 28 km, downstream in 7 hours. It can travel 21 km upstream, , Direction For Question : (92-93), A boat covers 32 km upstream and 36 km downstream, in 7 hours. Also, it covers 40 km upstream and 48 km, downstream in 9 hours., 92. The speed of the boat in still water will be, (a) 10 km/hr, (b) 8 km/hr, (c) 12 km/hr, (d) 16 km/hr, Sol : www.cbse.site/ma/cm177, 93. The speed of the stream will be, (a) 2 km/hr, (b) 4 km/hr, (c) 3 km/hr, (d) 1 km/hr, Sol : www.cbse.site/ma/cm177, , Direction For Question : (94-95), For what values of a and b does the following pair, of linear equations have infinite number of solution ?, 2x + 3y = 7, a ^x + y h - b ^x - y h = 3a + b - 2, 94. The value of a will be, (a) 3
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 48, , Pair of Linear Equation in Two Variables, , (b) 4, (c) 5, (d) 6, Sol : www.cbse.site/ma/cm178, , Chap 3, , percentage of boys increased from 60% to 75%. What, is the original no. of boys and girls in the class ?, (a) 24 and 16, (b) 16 and 24, (c) 12 and 16, (d) 16 and 12, , 95. The value of b will be, (a) 1, , Sol : www.cbse.site/ma/cm181, , (b) 3, (c) 2, (d) 4, Sol : www.cbse.site/ma/cm178, , Direction For Question : (96-97), At a certain time in a deer, the number of heads and, the number of legs of deer and human visitors were, counted and it was found that there were 39 heads, and 132 legs., 96. What is the number of deer visitors in the park ?, (a) 12, , Direction For Question : (100-101), A cyclist, after riding a certain distance, stopped for, half an hour to repair his bicycle, after which he, completes the whole journey of 30 km at half speed, in 5 hours. If the breakdown had occurred 10 km, farther off, he would have done the whole journey in, 4 hours. Find where the breakdown occurred and his, original speed., 100. What was the original speed ?, (a) 10 km, (b) 12 km, (c) 8 km, , (b) 27, , (d) 7 km, , (c) 16, , Sol : www.cbse.site/ma/cm182, , (d) 38, Sol : www.cbse.site/ma/cm179, 97. What is the number of human visitors in the park?, (a) 12, , 101. Where the breakdown occurred ?, (a) at 10 km, (b) at 12 km, (c) at 8 km, , (b) 27, , (d) at 7 km, , (c) 16, , Sol : www.cbse.site/ma/cm182, , (d) 38, Sol : www.cbse.site/ma/cm179, 98. The length of the sides of a triangle are, 2x + y2 , 53x + y + 12 and 23 x + 2y + 52 . If the triangle is, equilateral, its perimeter is, (a) 14.5 m, (b) 29 m, (c) 19.5 m, (d) 39 m, Sol : www.cbse.site/ma/cm180, , Direction For Question : (102-103), The population of a village is 5000. If in a year, the, number of males were to increase by 5% and that of, a female by 3% annually, the population would grow, to 5202 at the end of the year. Find the number of, males and females in the village., 102. The number of male in village is, (a) 2600, (b) 2400, (c) 2200, (d) 2800, , 99. When 6 boys were admitted and 6 girls left, the
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 3, , Pair of Linear Equation in Two Variables, , Sol : www.cbse.site/ma/cm183, , Page 49, , (b) ` 11500, (c) ` 9800, , 103. The number of female in village is, (a) 2600, , (d) ` 17690, Sol : www.cbse.site/ma/cm184, , (b) 2400, (c) 2200, (d) 2800, Sol : www.cbse.site/ma/cm183, , 106. What is the revenue if they get 90 services ?, (a) ` 995, (b) ` 610, (c) ` 2030, (d) ` 1015, , COMPETENCEY BASED QUESTIONS, Direction For Question : (104-106), Nitin and his sons run a lawn service, which includes, mowing, edging, trimming, and aerating a lawn. His, fixed cost includes insurance, his salary, and monthly, payments on equipment, and amounts to Rs 4000 per, month. The variable costs include gas, oil, hourly, wages for his employees, and miscellaneous expenses,, which run about Rs 75 per lawn. The average charge, for full service lawn care is Rs 115 per visit., , 104. How many lawns Nitin must service each month to, break even ?, (a) 100, (b) 120, (c) 140, (d) 160, Sol : www.cbse.site/ma/cm184, 105. What is the revenue required to break even., (a) ` 23000, , Sol : www.cbse.site/ma/cm184, , Direction For Question : (107-108), Due to high market demand, a manufacturer, decides to introduce a new line of frying pan. By, using existing factory space and retraining some, employees, fixed costs are estimated at Rs 84000/mo., The components to assemble and test each frying, pan are expected to run Rs 450 per unit. If market, research shows consumers are willing to pay at least, Rs 690 for this product, find, , 107. How many units must be made and sold each month, to break even ?, (a) 1050, (b) 700, (c) 350, (d) 230, Sol : www.cbse.site/ma/cm185, 108. What is the revenue required to break even., (a) ` 198400, (b) ` 126800, (c) ` 321600
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 50, , Pair of Linear Equation in Two Variables, , Chap 3, , (d) ` 241500, Sol : www.cbse.site/ma/cm185, 109. A play is a work of drama, usually consisting, mostly of dialogue between characters and intended, for theatrical performance rather than just, reading. Comedies are plays which are designed, to be humorous. Comedies are often filled with, witty remarks, unusual characters, and strange, circumstances. Certain comedies are geared toward, different age groups., , At a recent production of a comedy drama, the, Ravindra Rangmanch Theater brought in a total of, Rs 304950 in revenue. If adult tickets were Rs 90 and, children’s tickets were Rs 65, how many tickets of, each type were sold if 3800 tickets in all were sold?, (a) 1314 adult tickets and 1564 child tickets, (b) 1482 adult tickets and 2318 child tickets, (c) 2318 adult tickets and 1482 child tickets, , Alumni association of NIT Kuruskhstra donated Rs, 100,000 to his alma mater. The college used the funds, to make a loan to a science student at 7% interest, and a loan to a engineering student at 6% interest., That year the college earned Rs 6350 in interest., 110. How much was loaned to engineering student?, (a) ` 75000, (b) ` 35000, (c) ` 85000, (d) ` 65000, Sol : www.cbse.site/ma/cm187, , (d) 1564 adult tickets and 1314 child tickets, Sol : www.cbse.site/ma/cm186, , 111. How much was loaned to science student?, (a) ` 75000, (b) ` 35000, (c) ` 85000, , Direction For Question : (110-111), Alumni can help college sustain through their, donations and voluntary help. Alumni can also be, helpful in providing valuable financial, intellectual, and human resource. If a big chunk of money that, institutes require comes from alumni, it will help, those institutes remain competitive., , (d) ` 65000, Sol : www.cbse.site/ma/cm187, , Direction For Question : (112-113), A moving walkway, also known as an autowalk, is, a slow-moving conveyor mechanism that transports, people across a horizontal or inclined plane over a, short to medium distance. Moving walkways can be, used by standing or walking on them. They are often
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 3, , Pair of Linear Equation in Two Variables, , Page 51, , installed in pairs, one for each direction., , micrograms of vitamin A?, , As part of an algebra field trip, Jenish takes his, class to the airport to use their moving walkways, for a demonstration. The class measures the longest, walkway, which turns out to be 256 ft long. Using, a stop watch, Jenish shows it takes him just 32 sec, to complete the walk going in the same direction, as the walkway. Walking in a direction opposite the, walkway, it takes him 320 sec (10 times as long!). The, next day in class, Jenish hands out a two question, quiz:, , (a) 6.2 ounce of milk and 11.5 ounce of orange juices, , 112. What is my (Jenish’s) normal walking speed?, (a) 3.6 ft/sec, (b) 4.4 ft/sec, (c) 2.4 ft/sec, (d) 2.2 ft/sec, , (b) 11.5 ounce of milk and 6.2 ounce of orange juices, (c) 13.5 ounce of milk and 7.2 ounce of orange juices, (d) 7.2 ounce of milk and 13.5 ounce of orange juices, Sol : www.cbse.site/ma/cm189, 115. Pathmeda village near Sanchore has Gopal, Govardhan Gaushala, the largest Gaushala in India,, spread over 200 acres. The gaushala takes care of, more than 18,000 cattle., , Sol : www.cbse.site/ma/cm188, 113. What was the speed of the walkway in feet per, second?, (a) 3.6 ft/sec, (b) 4.4 ft/sec, (c) 2.4 ft/sec, (d) 2.2 ft/sec, Sol : www.cbse.site/ma/cm188, 114. Shalvi wants to use milk and orange juice to increase, the amount of calcium and vitamin A in her daily, diet. An ounce of milk contains 38 milligrams of, calcium and 56 micrograms of vitamin A. An ounce, of orange juice contains 5 milligrams of calcium and, 60 micrograms of vitamin A. How many ounces of, milk and orange juice should she drink each day to, provide exactly 550 milligrams of calcium and 1,200, , Cows of Pathmeda gaushala in an experiment are, to be kept on a strict diet. Each cow is to receive,, among other things, 20 grams of protein and 6 grams, of fat.
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 52, , Pair of Linear Equation in Two Variables, , Chap 3, , 117. A jeweller has two bars of gold alloy in stock, one of, 12 carats and the other of 18 carats (24 carat gold, is pure gold, 12 carat is 1224 pure, 18 carat gold is, 18, 24 pure, and so on). How many grams of each alloy, must be mixed to obtain 10 grams of 14 carat gold?, The laboratory technician is able to purchase two, food mixes of the following compositions:, Mix A has 10% protein and 6% fat,, Mix B has 20% protein and 2% fat., How many grams of each mix should be used to, obtain the right diet for a single cow ?, (a) 80 grams Mix A and 60 grams Mix B, (b) 60 grams Mix A and 80 grams Mix B, (c) 70 grams Mix A and 50 grams Mix B, (d) 50 grams Mix A and 70 grams Mix B, Sol : www.cbse.site/ma/cm190, 116. When you mix two or more substances with different, levels of concentration, the final solution does, not simply equate to the combined concentration, levels of the original ingredients. It depends on the, concentration of each solution., , (a) 6 23 grams of 12 carat gold and 3 13 grams of 18, carat gold, (b) 3 13 grams of 12 carat gold and 6 23 grams of 18, carat gold, (c) 7 23 grams of 12 carat gold and 2 13 grams of 18, carat gold, (d) 2 13 grams of 12 carat gold and 7 23 grams of 18, carat gold, Sol : www.cbse.site/ma/cm192, , Direction For Question : (118-119), It costs a small recording company Rs 176, 800 to, prepare a compact disc. This is a one-time fixed, cost that covers recording, package design, and, so on. Variable costs, including such things as, manufacturing, marketing, and royalties, are Rs 46, per CD., Rahman works as a chemist in Biolab Pvt Ltd at, Jaipur. He has two solutions of hydrochloric acid in, stock: a 50% solution and an 80% solution. He want, to make 100 milliliters of a 68% solution? How much, of each should be used to obtain 100 milliliters of a, 68% solution?, (a) 60 ml of 50% solution and 40 ml of 80% solution., (b) 40 ml of 50% solution and 60 ml of 80% solution., (c) 70 ml of 50% solution and 70 ml of 80% solution., (d) 30 ml of 50% solution and 70 ml of 80% solution., Sol : www.cbse.site/ma/cm191
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 3, , Pair of Linear Equation in Two Variables, , 118. If the CD is sold to music shops for Rs 80 each, how, many must be sold for the company to break even?, (a) 7800, (b) 2600, (c) 3900, (d) 5200, Sol : www.cbse.site/ma/cm193, 119. What is the break even revenue ?, (a) ` 216000, (b) ` 314000, , Page 53, , hours and Bhiwadi plant should be operated for, 75hours., (b) Bangalore plant should be operated for 75 hours, and Bhiwadi plant should be operated for 50, hours., (c) Bangalore plant should be operated for 80, hours and Bhiwadi plant should be operated for, 45hours., (d) Bangalore plant should be operated for 45 hours, and Bhiwadi plant should be operated for 80, hours., Sol : www.cbse.site/ma/cm194, , (c) ` 416000, (d) ` 231000, Sol : www.cbse.site/ma/cm193, 120. Ridhima Electronics Pvt Ltd is main supplier, for CASIO for electronics component. They, manufactures keyboards and screens for graphing, calculators at plants in Bangalore and Bhiwadi. The, hourly production rates at each plant are given in, the table. How many hours should each plant be, operated to fill an order for exactly 4,000 keyboards, and exactly 4,000 screens?, Plant, , Keyboards, , Screens, , Bangalore, , 40, , 32, , Bhiwadi, , 20, , 32, , Direction For Question : (121-122), Orange trees thrive in warm, Mediterranean climates, where there is no threat of frost. This full-sun, plant produces the best fruit when provided with, optimal moisture, light and nutrition, in the form, of fertilization. Orange trees require fertilization, three times per year. You need to increase fertilizer, amounts as the tree ages and becomes established., Complete nutrition is essential for a healthy tree., , A fruit grower can use two types of fertilizer in an, orange grove, brand A and brand B. Each bag of, brand A contains 8 pounds of nitrogen and 4 pounds, of phosphoric acid. Each bag of brand B contains 7, pounds of nitrogen and 7 pounds of phosphoric acid., Tests indicate that the grove needs 720 pounds of, nitrogen and 500 pounds of phosphoric acid., 121. How many bags of brand A should be used to provide, the required amounts of nitrogen and phosphoric, acid?, (a) 35 bag, (a) Bangalore plant should be operated for 50, , (b) 55 bag
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 54, , Pair of Linear Equation in Two Variables, , (c) 28 bag, , (c) 174 and –20, , (d) 40 bag, , (d) 196 and –16, , Sol : www.cbse.site/ma/cm195, , Sol : www.cbse.site/ma/cm196, , 122. How many bags of brand B should be used to provide, the required amounts of nitrogen and phosphoric, acid?, (a) 35 bag, (b) 55 bag, (c) 28 bag, (d) 40 bag, Sol : www.cbse.site/ma/cm195, , Chap 3, , 124. How high is the building?, (a) 274 feet, (b) 174 feet, (c) 228 feet, (d) 196 feet, Sol : www.cbse.site/ma/cm196, 125. How long does the object fall?, (a) 3.5 sec, (b) 7 sec, , Direction For Question : (123-125), To prove that objects of different weights fall at the, same rate, Galileo dropped two objects with different, weights from the Leaning Tower of Pisa in Italy. The, objects hit the ground at the same time., , (c) 2.5 sec, (d) 5 sec, Sol : www.cbse.site/ma/cm196, , Direction For Question : (126-127), An earthquake emits a primary wave and a secondary, wave. Near the surface of the Earth the primary wave, travels at about 5 miles per second and the secondary, wave at about 3 miles per second. From the time lag, between the two waves arriving at a given receiving, station, it is possible to estimate the distance to the, quake. (The epicenter can be located by obtaining, distance bearings at three or more stations.) Suppose, a station measured a time difference of 16 seconds, between the arrival of the two waves., , An object dropped off the top of Leaning Tower of, Pisa falls vertically with constant acceleration. If s, is the distance of the object above the ground (in, feet) t seconds after its release, then s and t are, related by an equation of the form s = a + bt2 where, a and b are constants. Suppose the object is 180, feet above the ground 1 second after its release and, 132 feet above the ground 2 seconds after its release., 123. What are the values of constants a and b ?, (a) –20 and 174, (b) –16 and 196
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 3, , Pair of Linear Equation in Two Variables, , 126. How long did each wave travel ?, (a) Primary wave travelled 24 second and secondary, wave travelled 40 second., (b) Primary wave travelled 40 second and secondary, wave travelled 24 second., (c) Primary wave travelled 20 second and secondary, wave travelled 24 second., (d) Primary wave travelled 24 second and secondary, wave travelled 20 second., , Page 55, , the breakdown had occurred 10 km farther off, she, would have done the whole journey in 11 hours., 128. Where the breakdown occurred?, (a) 60 km, (b) 48 km, (c) 32 km, (d) 44 km, Sol : www.cbse.site/ma/cm198, , Sol : www.cbse.site/ma/cm197, 127. How far was the earthquake from the station ?, (a) 238 mile, , 129. What is her original speed?, (a) 10 km/hr, (b) 20 km/hr, , (b) 224 mile, , (c) 12 km/hr, , (c) 120 mile, , (d) 9 km/hr, , (d) 240 mile, , Sol : www.cbse.site/ma/cm198, , Sol : www.cbse.site/ma/cm197, , Direction For Question : (128-129), Jyoti Kumari is an Indian student from Sirhulli in, the rural Darbhanga district of Bihar. She came to, notice after she bicycled some 1,200 km with her, injured father to reach their home village during, COVID-19 lockdowns in India. This act of bravery, was praised by the Senior Advisor to the President, of the United States, Ivanka Trump, and Prime, Minister Narendra Modi. She was given a national, award, and a Bollywood film was proposed to record, her story., , Jyoti travelled 90 km every day to reach her home, town in Harbin. One day, when she started, after, riding a certain distance, she stopped for some time, to repair his bicycle. After which she completes the, whole journey of 90 km at half speed in 12 hours. If, , Direction For Question : (130-131), Banasthali Vidyapith, is a fully residential women’s, university offering courses from primary to Ph.D., level. It offers a number of UG, PG, and Doctoral, level Programs under various Departments., Admission to the same is done on the basis of merit, scored in qualifying examination, however, for some, courses, an aptitude test is also conducted at the, university level., , Swati is doing MSc. in biotechnology from Banastli, Vidyapith and lives in university hostel. A part of, monthly hostel charge is fixed and the remaining, depends on the number of days one has taken food in, the mess. When Swati takes food for 20 days, she has, to pay Rs. 3,000 as hostel charges whereas Mansi who, takes food for 25 days Rs. 3,500 as hostel charges.
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 56, , Pair of Linear Equation in Two Variables, , 130. What are the fixed charges of hostel?, (a) ` 1200, (b) ` 1000, (c) ` 1400, (d) ` 900, , Chap 3, , On a recent camping trip, it took Mohinder and, Aslam 2 hr to row 4 mi upstream from the drop in, point to the camp site. After a leisurely weekend of, camping, fishing, and relaxation, they rowed back, downstream to the drop in point in just 30 min. Use, this information to find, , Sol : www.cbse.site/ma/cm199, 131. What is the cost of food per day?, (a) ` 100, (b) ` 120, (c) ` 115, (d) ` 110, Sol : www.cbse.site/ma/cm199, 134. What is the speed of the current., (a) 5 mph, (b) 3 mph, , Direction For Question : (132-133), Uniform motion with current :, , (c) 6 mph, , (R + C) t = d, , With the current, , (R - C) t = d, , Against the current, , The formula shown can be used to solve uniform, motion problems involving a current, where d, represents distance travelled, R is the rate of the, object with no current, C is the speed of the current,, and t is the time. Vibhur rows 9 km up river (against, the current) in 3 hr. It only took him 1 hr to row 5, km downstream (with the current)., 132. How fast can he row in still water?, (a) 1 km/h, , (d) 4 mph, Sol : www.cbse.site/ma/cm201, 135. What is the rowing speed of Mohinder and Aslam in, still water., (a) 5 mph, (b) 3 mph, (c) 6 mph, (d) 4 mph, Sol : www.cbse.site/ma/cm201, , (b) 2 km/h, (c) 3 km/h, (d) 4 km/h, Sol : www.cbse.site/ma/cm200, 133. How fast was the current ?, (a) 1 km/h, (b) 2 km/h, (c) 3 km/h, (d) 4 km/h, Sol : www.cbse.site/ma/cm200, , Direction For Question : (134-135), , Direction For Question : (136-137), As India’s first domestic cruise liner, Angriya has, made many voyages on the Mumbai-Goa sea route,, along the pristine Konkan Coast. It has given India, and Indians a sense of pride and happiness, while, introducing the travelers to coral diversity and royal, sea forts along the way.
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 3, , Pair of Linear Equation in Two Variables, , Page 57, , an airspeed of 150 miles per hour. How far can it fly, into a 30 mph headwind and still have enough fuel to, return to its starting point?, (a) 1330 miles, (b) 1220 miles, (c) 1550 miles, (d) 1440 miles, Sol : www.cbse.site/ma/cm203, , Last year we enjoyed our summer vacation at, Angariya cruise. From Mumbai to the Goa, the trip, took 70 hr. After a few days of fun in the sun, the, ship leaves for Mumbai, with the return trip taking, 82 hr., 136. What is the cruising speed of the ship., (a) 15 kmph, (b) 19 kmph, , Direction For Question : (139-140), When it was first constructed in 1889, the Eiffel, Tower in Paris, France, was the tallest structure, in the world. In 1975, the CN Tower in Toronto,, Canada, became the world’s tallest structure. The, CN Tower is 153 ft less than twice the height of the, Eiffel Tower, and the sum of their heights is 2799 ft., , (c) 25 kmph, (d) 20 kmph, Sol : www.cbse.site/ma/cm202, 137. What is the speed of the current., (a) 1.5 kmph, (b) 3 kmph, (c) 2.5 kmph, (d) 2 kmph, Sol : www.cbse.site/ma/cm202, 138. The point during a flight at which an aircraft is, no longer capable of returning to the airfield from, which it took off due to fuel considerations. Beyond, this point the aircraft must proceed to some other, destination., , 139. How tall is CN tower?, (a) 2168 ft, (b) 984 ft, (c) 1815 ft, (d) 1214 ft, Sol : www.cbse.site/ma/cm204, 140. How tall is Eiffel tower?, (a) 2168 ft, (b) 984 ft, (c) 1815 ft, (d) 1214 ft, Sol : www.cbse.site/ma/cm204, , A plane carries enough fuel for 20 hours of flight at, , 141. You are the manager of a shoe store. On Sunday
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 58, , Pair of Linear Equation in Two Variables, , morning you are going over the receipts for the, previous week’s sales. A total of 320 pairs of crosstraining shoes were sold. One style sold for Rs 1135, and the other sold for Rs 1495. The total receipts, were Rs 420,480. The cash register that was supposed, to keep track of the number of each type of shoe sold, malfunctioned. Can you recover the information? If, so, how many of each type were sold?, , Chap 3, , much will be refunded?, , (a) ` 1234, (b) ` 996, (c) ` 1968, (d) ` 1486, Sol : www.cbse.site/ma/cm206, (a) 175 shoes of style one and 145 pairs shoes of style, two, (b) 145 shoes of style one and 175 pairs shoes of style, two, (c) 155 shoes of style one and 165 pairs shoes of style, two, (d) 165 shoes of style one and 155 pairs shoes of style, two, , Direction For Question : (143-144), Planning for retirement starts with thinking about, your retirement goals and how long you have to, meet them. Then you need to look at the types, of retirement accounts that can help you raise the, money to fund your future. As you save that money,, you have to invest it to enable it to grow., , Sol : www.cbse.site/ma/cm205, 142. The grocery store we use does not mark prices on its, goods. My wife went to this store, purchased three, 1-kg packages of almond and two 500-gram packages, cashew, and paid a total of Rs 1345. Not knowing, that she went to the store, I also went to the same, store, purchased two 1-kg packages of almond and, three 500-gram packages cashew, and paid a total of, Rs 1145. Now we want to return two 1-kg packages, of almond and two 500-gram packages cashew. How, A recently retired couple needs Rs 120,000 per year, to supplement their Social Security. They have Rs, 1,500,000 to invest to obtain this income. They have, decided to invest in two options : AA bonds yielding, 10% per annum and a fixed deposit yielding 5%., 143. How much should be invested in AA bond to realize
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 3, , Pair of Linear Equation in Two Variables, , Page 59, , exactly Rs 120,000?, (a) 900 thousand, (b) 600 thousand, (c) 500 thousand, (d) 400 thousand, Sol : www.cbse.site/ma/cm207, 144. How much should be invested in fixed deposit to, realize exactly Rs 120,000?, (a) 900 thousand, (b) 600 thousand, (c) 500 thousand, (d) 400 thousand, Sol : www.cbse.site/ma/cm207, 145. If, after 2 years, the couple requires Rs 140,000 per, year in income, how should they reallocate their, investment to achieve the new amount?, (a) 1100 thousand in AA bond and 400 thousand in, fixed deposit, (b) 1200 thousand in AA bond and 300 thousand in, fixed deposit, (c) 1300 thousand in AA bond and 200 thousand in, fixed deposit, (d) 1000 thousand in AA bond and 600 thousand in, fixed deposit, Sol : www.cbse.site/ma/cm207, , 146. How much does smartphone cost?, (a) ` 28500, (b) ` 32500, (c) ` 57000, (d) ` 65000, Sol : www.cbse.site/ma/cm208, 147. How much does tablet cost?, (a) ` 72000, (b) ` 64000, (c) ` 79000, (d) ` 68000, , Direction For Question : (146-147), A wireless store owner takes presale orders for a new, smartphone and tablet. He gets 340 preorders for the, smartphone and 250 preorders for the tablet. The, combined value of the preorders is Rs 27,050,000., The price of a smartphone and tablet together is Rs, 96500, , Sol : www.cbse.site/ma/cm208, 148. In 2013 there was a total of 81 commercial and, noncommercial orbital launches worldwide. In, addition, the number of noncommercial orbital, launches was twelve more than twice the number of, commercial orbital launches. Determine the number, of commercial and noncommercial orbital launches
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 60, , Pair of Linear Equation in Two Variables, , in 2013., , Chap 3, , 150. What are the actual number of calories in one, portions of hamburger and fries., (a) 1500, (b) 1240, (c) 1120, (d) 1640, Sol : www.cbse.site/ma/cm210, , (a) 58 commercial and 23 non-commercial, (b) 23 commercial and 58 non-commercial, , Direction For Question : (151-152), At some point, it’s time to kick, or gently ease, kids, off the parental gravy train. The circle graph shows, the percentage of parents who think significant, financial support should end at various milestones., , (c) 21 commercial and 60 non-commercial, (d) 60 commercial and 21 non-commercial, Sol : www.cbse.site/ma/cm209, , Direction For Question : (149-150), Actual Number of Calories : University of Arkansas, researchers discovered that we underestimate the, number of calories in restaurant meals. The next, time you eat out, take the number of calories, you think you ate and double it. The researchers, concluded that this number should be a more, accurate estimate. The actual number of calories in, one portion of hamburger and fries and two portions, of pizza is 4240. The actual number of calories in two, portions of hamburger and fries and one portion of, pizza is 3980., , The difference in the percentage who would end this, support after completing college and after completing, high school is 6 %., 151. What is the percentage of parents who would end, financial support after a child completes college., (a) 33%, (b) 28%, (c) 32%, (d) 22%, Sol : www.cbse.site/ma/cm211, , 149. What are the actual number of calories in one, portions of pizza., (a) 1500, (b) 1240, , 152. What is the percentage of parents who would end, financial support after a child completes high school., (a) 33%, , (c) 1120, , (b) 28%, , (d) 1640, , (c) 32%, , Sol : www.cbse.site/ma/cm210, , (d) 22%
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 3, , Pair of Linear Equation in Two Variables, , Sol : www.cbse.site/ma/cm211, , Page 61, , (c) ` 1050, (d) ` 1750, Sol : www.cbse.site/ma/cm212, , Direction For Question : (153-157), Masks are an additional step to help prevent people, from getting and spreading COVID-19. They, provide a barrier that keeps respiratory droplets, from spreading. Wear a mask and take every day, preventive actions in public settings., , 155. Due to great demand and short supply, the store has, increased the price of each type by Rs. 5 from May 1,, 2020. In the month of May, 2020, the store sold 310, masks for total sales of Rs. 6875. How many masks of, each type were sold in the month of May?, (a) 175 masks of type A, and 135 masks of type B, (b) 200 masks of type A, and 110 masks of type B, (c) 110 masks of type A, and 200 masks of type B, (d) 135 masks of type A, and 175 masks of type B, Sol : www.cbse.site/ma/cm212, 156. What percent of masks of each type sale was, increased in the month of May, compared with the, sale of month April?, (a) 110% in type A and 180% in type B, , Due to ongoing Corona virus outbreak, Wellness, Medical store has started selling masks of decent, quality. The store is selling two types of masks, currently type A and type B ., , (b) 180% in type A and 110% in type B, (c) 350% in type A and 150% in type B, (d) 150% in type A and 350% in type B, Sol : www.cbse.site/ma/cm212, 157. What extra profit did store earn by increasing price, in May month., (a) ` 1550, (b) ` 3100, , The cost of type A mask is Rs. 15 and of type B, mask is Rs. 20. In the month of April, 2020, the store, sold 100 masks for total sales of Rs. 1650., 153. How many masks of each type were sold in the month, of April?, (a) 40 masks of type A, and 60 masks of type B, (b) 60 masks of type A, and 40 masks of type B, (c) 70 masks of type A, and 30 masks of type B, (d) 30 masks of type A, and 70 masks of type B, Sol : www.cbse.site/ma/cm212, 154. If the store had sold 50 masks of each type, what, would be its sales in the month of April?, (a) ` 550, (b) ` 560, , (c) ` 1650, (d) ` 1825, Sol : www.cbse.site/ma/cm212, , Direction For Question : (158-162), An architect is a skilled professional who plans and, designs buildings and generally plays a key role in, their construction. Architects are highly trained in, the art and science of building design. Since they, bear responsibility for the safety of their buildings’, occupants, architects must be professionally licensed.
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 62, , Pair of Linear Equation in Two Variables, , Chap 3, , Sol : www.cbse.site/ma/cm213, 160. What is the area of bedroom 1 ?, (a) 24 m2, (b) 30 m2, (c) 28 m2, (d) 24 m2, Sol : www.cbse.site/ma/cm213, 161. What is the area of living room in the layout ?, (a) 54 m2, Varsha is a licensed architect and design very, innovative house. She has made a house layout for, her client which is given below. In the layout, the, design and measurements has been made such that, area of two bedrooms and kitchen together is 95 sq., m., , (b) 48 m2, (c) 75 m2, (d) 24 m2, Sol : www.cbse.site/ma/cm213, 162. What is the cost of laying tiles in Kitchen at the rate, of Rs. 50 per sq. m ?, (a) ` 1500, (b) ` 2000, (c) ` 1750, (d) ` 3000, Sol : www.cbse.site/ma/cm213, , 158. Which pair of linear equations does describe this, situation ?, (a) 2x + y = 19 and x + y = 13, (b) x + 2y = 19 and 2x + y = 13, (c) 2x + y = 38 and x + y = 13, (d) 2x + y = 38 and 2x + y = 13, Sol : www.cbse.site/ma/cm213, 159. What is the length of the outer boundary of the, layout., (a) 24 m, (b) 48 m, (c) 27 m, (d) 54 m, , Direction For Question : (163-167), Dipesh bought 3 notebooks and 2 pens for Rs. 80., His friend Ramesh said that price of each notebook, could be Rs. 25. Then three notebooks would cost, Rs.75, the two pens would cost Rs. 5 and each pen, could be for Rs. 2.50. Another friend Amar felt that, Rs. 2.50 for one pen was too little. It should be at, least Rs. 16. Then the price of each notebook would, also be Rs.16.
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 3, , Pair of Linear Equation in Two Variables, , Page 63, , 166. What is the exact cost of the pen?, (a) ` 10, (b) ` 20, (c) ` 16, (d) ` 24, Sol : www.cbse.site/ma/cm214, 167. What is the total cost if they purchase the same type, of 15 notebooks and 12 pens., (a) ` 410, (b) ` 200, (c) ` 420, Aditya also bought the same types of notebooks and, pens as Dipesh. He paid 110 for 4 notebooks and 3, pens., 163. Whether the estimation of Ramesh and Amar is, applicable for Aditya?, (a) Ramesh’s estimation is wrong but Amar’s, estimation is correct., (b) Ramesh’s estimation is correct but Amar’s, estimation is wrong., , (d) ` 240, Sol : www.cbse.site/ma/cm214, , Direction For Question : (168-172), Mr. RK Agrawal is owner of a famous amusement, park in Delhi. The ticket charge for the park is Rs, 150 for children and Rs 400 for adult., , (c) Both estimation are correct., (d) Ramesh’s estimation is wrong but Amar’s, estimation is also wrong., Sol : www.cbse.site/ma/cm214, 164. Let the cost of one notebook be x and that of pen, be y . Which of the following set describe the given, problem ?, (a) 2x + 3y = 80 and 3x + 4y = 110, (b) 3x + 2y = 80 and 4x + 3y = 110, (c) 2x + 3y = 80 and 4x + 3y = 110, (d) 3x + 2y = 80 and 3x + 4y = 110, Sol : www.cbse.site/ma/cm214, 165. What is the exact cost of the notebook?, (a) ` 10, (b) ` 20, (c) ` 16, (d) ` 24, , Generally he does not go to park and it is managed, by team of staff. One day Mr Agrawal decided to, random check the park and went there. When he, checked the cash counter, he found that 480 tickets, were sold and Rs 134500 was collected., 168. Let the number of children visited be x and the, number of adults visited be y . Which of the following, is the correct system of equations that model the, problem ?, (a) x + y = 480 and 3x + 8y = 2690, (b) x + 2y = 480 and 3x + 4y = 2690, (c) x + y = 480 and 3x + 4y = 2690, (d) x + 2y = 480 and 3x + 8y = 2690, Sol : www.cbse.site/ma/cm215, , Sol : www.cbse.site/ma/cm214, 169. How many children visited the park ?, (a) 250
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 64, , Pair of Linear Equation in Two Variables, , (b) 500, (c) 230, (d) 460, , Chap 3, , Jodhpur is also known for the rare breed of horses, known as Marwari or Malani, which are only found, here., , Sol : www.cbse.site/ma/cm215, 170. How many adults visited the park?, (a) 250, (b) 500, (c) 230, (d) 460, Sol : www.cbse.site/ma/cm215, 171. How much amount collected if 300 children and 350, adults visited the park?, (a) ` 225400, (b) ` 154000, (c) ` 112500, (d) ` 185000, Sol : www.cbse.site/ma/cm215, 172. One day total visited children and adults together, is 750 and the total amount collected is Rs 212500., What are the number of children and adults visited, the park ?, (a) (700, 800), , Last year we visited Jodhpur in a group of 25 friends., When we went mehrangarh fort we found following, fare for ride :, Ride, , Normal Hours Fare Peak Hours Fare, , Horse, , Rs 50, , 3 Times, , Elephant, , Rs 100, , 2 Times, , Some people choose to ride on horse and rest choose, to ride on elephant., 173. First day we rode in normal hours and we paid Rs, 1950 for ride. Let x be the number of horses hired, and y be the number elephants hired. Which of, the following is the correct system of equation that, model the problem ?, (a) 2x + y = 25 and 2x + y = 49, (b) 2x + y = 25 and 2x + y = 39, (c) x + y = 25 and x + 2y = 39, (d) x + y = 25 and x + 2y = 49, Sol : www.cbse.site/ma/cm216, , (b) (350, 400), (c) (800, 700), (d) (400, 350), Sol : www.cbse.site/ma/cm215, , 174. How many horses were hired ?, (a) 9, (b) 14, (c) 16, (d) 11, , Direction For Question : (173-177), Jodhpur is the second-largest city in the Indian state, of Rajasthan and officially the second metropolitan, city of the state. Jodhpur was historically the capital, of the Kingdom of Marwar, which is now part of, Rajasthan. Jodhpur is a popular tourist destination,, featuring many palaces, forts, and temples, set, in the stark landscape of the Thar Desert. It is, popularly known as the “Blue City” among people, of Rajasthan and all over India. The old city circles, the Mehrangarh Fort and is bounded by a wall with, several gates. The city has expanded greatly outside, the wall, though, over the past several decades., , Sol : www.cbse.site/ma/cm216, 175. How many elephant were hired ?, (a) 9, (b) 14, (c) 16, (d) 11, Sol : www.cbse.site/ma/cm216, 176. Next day we rode in peak hours, then how much
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 3, , Pair of Linear Equation in Two Variables, , total fare was paid by our group?, (a) ` 2250, (b) ` 2650, (c) ` 4450, (d) ` 3250, Sol : www.cbse.site/ma/cm216, , Page 65, , 1 point each) and some were field goals (worth 2, points each). The number of field goals was 10 more, than the number of free throws., 178. How many field goals did he make ?, (a) 10 Goals, (b) 20 Goals, (c) 15 Goals, , 177. What was the increase in total fare because of peak, hours ride ?, (a) ` 2500, (b) ` 2550, (c) ` 2200, (d) ` 1550, Sol : www.cbse.site/ma/cm216, , (d) 18 Goals, Sol : www.cbse.site/ma/cm217, 179. How many free throws did he make?, (a) 10 Goals, (b) 20 Goals, (c) 15 Goals, (d) 18 Goals, Sol : www.cbse.site/ma/cm217, , Direction For Question : (178-182), Wilton Norman “Wilt” Chamberlain was an, American basketball player, and played in the NBA, during the 1960s. At 7 feet 1 inch, he was the tallest, and heaviest player in the league for most of his, career, and he was one of the most famous people, in the game for many years. He is the first and only, basketball player to score 100 points in an NBA, game., , 180. What was the total number of points scored?, (a) 50, (b) 80, (c) 60, (d) 45, Sol : www.cbse.site/ma/cm217, 181. If Wilt Chamberlain played 5 games during this, season, what was the average number of points per, game?, (a) 5, (b) 8, (c) 10, (d) 4, Sol : www.cbse.site/ma/cm217, 182. If Wilt Chamberlain played 10 games during this, season, what was the average number of points per, game?, (a) 6, (b) 8, (c) 4, , In the 1961–1962 NBA basketball season, Wilt, Chamberlain of the Philadelphia Warriors made 30, baskets. Some of the baskets were free throws (worth, , (d) 5, Sol : www.cbse.site/ma/cm217
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 66, , Pair of Linear Equation in Two Variables, , SELF TEST QUESTIONS, 183. Given the linear equation 3x + 4y = 9 . Select another, linear equation in these two variables such that the, geometrical representation of the pair so formed is, coincident lines., (a) 3x - 5y = 10, (b) 6x + 8y = 18, , Chap 3, , the geometrical representation of the pair so formed, is intersecting lines., (a) 5x + 2y - 9 = 0, (b) 6x + 9y + 7 = 0, (c) 4x + 6y - 16 = 0, (d) above all, Sol : www.cbse.site/ma/cm225, , (c) 8x + 12y = 18, (d) above all, Sol : www.cbse.site/ma/cm221, 184. What are the values of x and y for the following pair, of linear equations ?, , 188. Given the linear equation 2x + 3y - 8 = 0 , select, another linear equation in two variables such that, the geometrical representation of the pair so formed, is coincident lines., (a) 5x + 2y - 9 = 0, (b) 6x + 9y + 7 = 0, , x + 2y = 2, , (c) 4x + 6y - 16 = 0, , x - 3y = 7, , (d) above all, , (a) 1 and 1, , Sol : www.cbse.site/ma/cm226, , (b) 4 and –1, (c) –4 and 1, (d) 2 and 2, Sol : www.cbse.site/ma/cm222, , 189. What are the values of m and n so that the following, system of linear equation have infinite number of, solutions :, , ^2m - 1h x + 3y - 5 = 0, 185. For what value of k,, and, 2x + 3y = 4, will, have, infinitely, many, k, 2, x, 6, y, =, 3, k, 2, +, +, +, ^, h, solutions ?, (a) k = 2, (b) k = 3, (c) k ! 3, (d) k = 4, Sol : www.cbse.site/ma/cm223, 186. Given the linear equation 2x + 3y - 8 = 0 , select, another linear equation in two variables such that, the geometrical representation of the pair so formed, is parallel lines., (a) 5x + 2y - 9 = 0, (b) 6x + 9y + 7 = 0, (c) 4x + 6y - 16 = 0, , 3x + ^n - 1h y - 2 = 0, (a), (b), (c), (d), , 17, 4, 17, 4, 11, 5, 11, 5, , and, and, and, and, , 9, 4, 11, 5, 17, 4, 9, 4, , Sol : www.cbse.site/ma/cm227, 190. What are the values of a and b for which the, following pair of linear equations has infinite number, of solutions : 2x + 3y = 7; 2ax + ^a + bh y = 28 ., (a) 4 and 6, (b) 4 and 8, (c) 8 and 4, (d) 8 and 6, Sol : www.cbse.site/ma/cm228, , (d) above all, Sol : www.cbse.site/ma/cm224, 187. Given the linear equation 2x + 3y - 8 = 0 , select, another linear equation in two variables such that, , Direction For Question : (191-192), Solve the following pair of equations :, 2 + 3 = 2 and 4 - 9 =- 1, x, y, x, y
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 3, , Pair of Linear Equation in Two Variables, , 191. What is the value of x, (a) 2, , Page 67, , 196. Solve the following pair of equations :, 3x + 4y = 10, , (b) 3, , 2x - 2y = 2, , (c) 4, (d) 5, , What are the value of x and y ?, (a) x = 1 and y = 2, , Sol : www.cbse.site/ma/cm229, , (b) x = 2 and y = 1, (c) x = 3 and y = 3, , 192. What is the value of y ?, (a) 5, , (d) x = 2 and y = 2, Sol : www.cbse.site/ma/cm232, , (b) 7, (c) 9, (d) 11, Sol : www.cbse.site/ma/cm229, , 197. For what value of k , following pair of linear equations, have infinitely many solutions:, 2x + 3y = 7 and ^k + 1h x + ^2k - 1h y = 4k + 1, (a) k = 5, (b) k ! 5, , Direction For Question : (193-194), Solve the following pair of equations :, 2x - y + 3 = 0, , (c) k = 10, (d) k ! 10, Sol : www.cbse.site/ma/cm233, , 3x - 5y + 1 = 0, 193. What is the value of x ?, (a) -1, (b) -2, , 198. Select the value of c if the system of equations, cx + 3y + ^3 - c h = 0; 12x + cy - c = 0 has infinitely, many solutions?, (a) 4, , (c) -3, , (b) 5, , (d) -4, , (c) 6, , Sol : www.cbse.site/ma/cm230, , (d) 7, Sol : www.cbse.site/ma/cm234, , 194. What is the value of y ?, (a) -1, (b) -2, (c) -3, (d) -4, Sol : www.cbse.site/ma/cm230, , 199. A father’s age is three times the sum of the ages of, his two children. After 5 years his age will be two, times the sum of their ages. The present age of the, father will be, (a) 40, (b) 45, (c) 35, , 195. Solve the following pair of equations :, x + y = 5 and 2x - 3y = 4, What are the value of x and y ?, (a) x = 75 and y = 65, (b) x =, (c) x =, (d) x =, , 19, 5, 7, 5, 6, 5, , and y =, and y =, and y =, , 6, 5, 19, 5, 19, 5, , Sol : www.cbse.site/ma/cm231, , (d) 65, Sol : www.cbse.site/ma/cm235, , Direction For Question : (200-201), Two water taps together can fill a tank in 1 78 hours., The tap with longer diameter takes 2 hours less than, the tap with smaller one to fill the tank separately.
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 68, , Pair of Linear Equation in Two Variables, , 200. What is the time in which smaller diameter tap can, fill the tank separately ?, (a) 2, (b) 3, (c) 4, (d) 5, Sol : www.cbse.site/ma/cm236, , Chap 3, , Sol : www.cbse.site/ma/cm238, 205. For what value of k , will the following pair of, equations have infinitely many solutions:, 2x + 3y = 7 and ^k + 2h x - 3 ^1 - k h y = 5k + 1, (a) 2, (b) 4, (c) 6, , 201. What is the time in which larger diameter tap can fill, the tank separately ?, (a) 2, , (d) 8, Sol : www.cbse.site/ma/cm239, , (b) 3, (c) 4, (d) 5, Sol : www.cbse.site/ma/cm236, , Direction For Question : (202-203), A boat goes 30 km upstream and 44 km downstream, in 10 hours. In 13 hours, it can go 40 km upstream, and 55 km downstream., 202. What is the speed of the stream ?, (a) 8 km/hour, (b) 3 km/hour, (c) 1 km/hour, (d) 2 km/hour, Sol : www.cbse.site/ma/cm237, , Direction For Question : (206-207), Find the value of p and q for which the system of, equations represent coincident lines 2x + 3y = 7 ,, ^p + q + 1h x + ^p + 2q + 2h y = 4 ^p + q h + 1, 206. The value of q will be, (a) 1, (b) 2, (c) 3, (d) 4, Sol : www.cbse.site/ma/cm240, 207. The value of p will be, (a) 3, (b) 4, (c) 5, (d) 6, , 203. What is the speed of the boat in still water?, (a) 8 km/hour, , Sol : www.cbse.site/ma/cm240, , (b) 3 km/hour, (c) 1 km/hour, (d) 2 km/hour, Sol : www.cbse.site/ma/cm237, 204. Sumit is 3 times as old as his son. Five years later he, shall be two and a half times as old as his son. How, old is Sumit at present?, (a) 45, (b) 50, (c) 35, (d) 42, , Direction For Question : (26-27), Solve the following pair of equations for x and y :, x + 1 + y - 1 = 9 ; x - 1 + y + 1 = 8., 3, 2, 2, 3, 208. What is the value of x ?, (a) 13, (b) 7, (c) 24, (d) 12, Sol : www.cbse.site/ma/cm241
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 3, , Pair of Linear Equation in Two Variables, , 209. What is the value of y ?, (a) 15, , Page 69, , 213. What is the value of x ?, (a) b2, , (b) 7, , (b) a2, , (c) 24, , (c) ab, , (d) 12, , (d), , Sol : www.cbse.site/ma/cm241, , Sol : www.cbse.site/ma/cm244, , Direction For Question : (210-211), Solve the following pair of equations for x and y :, 6 - 3 =1, x-1 y-2, 5 - 1 = 2 , where x ! 1, y ! 2., x-1 y-2, 210. What is the value of x ?, (a) 8, , 1, 2, , ab, , 214. What is the value of y ?, (a) b2, (b) a2, (c) ab, (d), , 1, 2, , ab, , Sol : www.cbse.site/ma/cm245, 215. Find whether the following pair of linear equations, has a unique solutions and select correct option., , (b) 6, , 7x - 4y = 49, 5x - 6y = 57 ., (a) no solution, , (c) 7, (d) 4, , (b) unique solution, , Sol : www.cbse.site/ma/cm242, , (c) infinitely solution, (d) can’t say anything, , 211. What is the value of y ?, (a) 11, , Sol : www.cbse.site/ma/cm246, , (b) 5, 216. The solution of following systems is, , (c) 12, , 7x - 4y = 49, 5x - 6y = 57 ., (a) x = - 7 and y = 8, , (d) 8, Sol : www.cbse.site/ma/cm242, , (b) x = 6 and y = - 7, , 212. Seven times a two digit number is equal to four times, the number obtained by reversing the order of its, digits. If the difference of the digits is 3, the number, will be, (a) 38, (b) 36, (c) 46, , (c) x = 3 and y =- 7, (d) x =- 7 and y = 6, Sol : www.cbse.site/ma/cm247, 217. What are the values of x and y for the following, system of equation ?, 5x + 4y - 4 = 0, , (d) 64, , x - 12y - 20 = 0, (a) - and 2, , Sol : www.cbse.site/ma/cm243, , 3, 2, , (b) 2 and - 32, (c) 1 and - 32, (d) - 32 and 1, , Direction For Question : (213-214), Solve the following pair of equations for x and y :, a 2 - b 2 = 0, a 2 b + b 2 a = a + b ,, x, y, x, y, , x ! 0; y ! 0 ., , Sol : www.cbse.site/ma/cm248
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 70, , Pair of Linear Equation in Two Variables, , 218. The present age of the father is twice the sum of the, ages of his 2 children. After 20 years, his age will be, equal to the sum of the ages of his children. What is, the age of the father., (a) 38 years, (b) 40 years, (c) 30 years, (d) 45 years, Sol : www.cbse.site/ma/cm249, , Chap 3
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 4, , Triangles, , Page 71, , CHAPTER 4, TRIANGLES, 1., , In the given figure, DE z BC . The value of EC is, , length 2p . If AD = BC then the value of AD is, (a) 3, (b), , 3p, , (c) 2p, (d) 4p, Sol : www.cbse.site/ma/fm103, 4., , Which of the following statement is false?, (a) All isosceles triangles are similar., (b) All quadrilateral are similar., (c) All circles are similar., , (a) 1.5 cm, , (d) None of the above, , (b) 3 cm, , Sol : www.cbse.site/ma/fm104, , (c) 2 cm, (d) 1 cm, Sol : www.cbse.site/ma/fm101, 2., , 5., , In the given figure, x is, , Two poles of height 6 m and 11 m stand vertically, upright on a plane ground. If the distance between, their foot is 12 m, then distance between their tops is, (a) 12 m, (b) 14 m, (c) 13 m, (d) 11 m, Sol : www.cbse.site/ma/fm105, Sol :, , 6., , (a), (b), (c), (d), Sol, , ab, a+b, ac, b+c, bc, b+c, ac, a+c, : www.cbse.site/ma/fm102, , (b) 2 ^AQ2 + CP2h = AC2 + PQ2, (c) AQ2 + CP2 = AC2 + PQ2, (d) AQ + CP = 1 ^AC + PQ h, 2, Sol : www.cbse.site/ma/fm106, , 7., 3., , TABC is an equilateral triangle with each side of, , In a right angled TABC right angled at B , if P and, Q are points on the sides AB and BC respectively,, then, (a) AQ2 + CP2 = 2 ^AC2 + PQ2h, , It is given that, TABC + TEDF such that, AB = 5 cm, AC = 7 cm, DF = 15 cm and, DE = 12 cm then the sum of the remaining sides of
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 72, , Chap 4, , the triangles is, (a) 23.05 cm, , (b) ( 2 - 1) :, , (b) 16.8 cm, , (d) ( 2 - 1) : 1, , (c) 6.25 cm, (d) 24 cm, Sol : www.cbse.site/ma/fm107, 8., , Triangles, , The area of a right angled triangle is 40 sq cm and its, perimeter is 40 cm. The length of its hypotenuse is, (a) 16 cm, , (c) 1 :, , 2, , Sol : www.cbse.site/ma/fm111, 12. It is given that TABC + TPQR with BC = 1 ., 4, QR, ar (TPRQ), Then, is equal to, ar (TBCA), (a) 16, (b) 3, , (b) 18 cm, , (c), , (c) 17 cm, , (d), , (d) data insufficient, , 2, , 1, 4, 1, 16, , Sol : www.cbse.site/ma/fm112, , Sol : www.cbse.site/ma/fm108, 9., , The areas of two similar triangles ABC and PQR, are in the ratio 9 : 16. If BC = 4.5 cm , then the, length of QR is, (a) 4 cm, (b) 4.5 cm, (c) 3 cm, (d) 6 cm, Sol : www.cbse.site/ma/fm109, , 10. If ratio of corresponding sides of two similar triangles, is 5 : 6, then what is the ratio of their areas?, (a) 6 : 5, , 13. If TABC + TAPQ and ar (TAPQ) = 4ar (TABC ),, ar (TABC ), then the ratio of BC to PQ is, (a) 2 : 1, (b) 1 : 2, (c) 1 : 4, (d) 4 : 1, Sol : www.cbse.site/ma/fm113, 14. The areas of two similar triangles are 81 cm2, and 49 cm2 respectively, then the ratio of their, corresponding medians is, (a) 7 : 9, (b) 9 : 81, , (b) 5 : 6, , (c) 9 : 7, , (c) 25 : 36, , (d) 81 : 7, , (d) 36 : 25, , Sol : www.cbse.site/ma/fm114, , Sol : www.cbse.site/ma/fm110, 11. In the given figure, P and Q are points on the sides, AB and AC respectively of a triangle ABC . PQ is, parallel to BC and divides the triangle ABC into 2, parts, equal in area. The ratio of PA : AB =, , 15. Sides of two similar triangles are in the ratio 4 : 9., Areas of these triangles are in the ratio., (a) 2 : 3, (b) 4 : 9, (c) 81 : 16, (d) 16 : 81, Sol : www.cbse.site/ma/fm115, 16. Assertion : In the 3ABC , AB = 24 cm , BC = 10 cm, and AC = 26 cm , then 3ABC is a right angle, , (a) 1 : 1
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 4, , Triangles, , triangle., Reason : If in two triangles, their corresponding, angles are equal, then the triangles are similar., (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., , length of one of its altitude is ................... ., (a) a 3, , (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., , Sol : www.cbse.site/ma/fm119, , (c) Assertion (A) is true but reason (R) is false., (d) Assertion (A) is false but reason (R) is true., Sol : www.cbse.site/ma/fm116, , Page 73, , (b) a2 3, (c) a3 2, (d) a 2, , 20. TABC and TBDE are two equilateral triangle such, that D is the mid-point of BC . Ratio of the areas of, triangles ABC and BDE is ................. ., (a) 1 : 1, (b) 3 : 1, , 17. Assertion : ABC and DEF are two similar triangles, such that BC = 4 cm , EF = 5 cm and area of, TABC = 64 cm2 , then area of TDEF = 100 cm2 ., Reason : The areas of two similar triangles are in the, ratio of the squares of the corresponding altitudes., (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., , (c) 2 : 1, (d) 4 : 1, Sol : www.cbse.site/ma/fm120, 21. A ladder 10 m long reaches a window 8 m above the, ground. The distance of the foot of the ladder from, the base of the wall is ................ m., (a) 8 m, (b) 2 m, (c) 6 m, , (c) Assertion (A) is true but reason (R) is false., , (d) 4 m, , Sol : www.cbse.site/ma/fm117, , Sol : www.cbse.site/ma/fm121, , 18. Assertion, :, such, that, 3ABC + 3DEF, ar (3ABC) = 36 cm2 and ar ^3DEF h = 49 cm2 then,, AB : DE = 6 : 7 ., Reason : If 3ABC + 3DEF , then, ar ^3ABC h AB2 BC2, AC2, =, 2 =, 2 =, ar ^3DEF h DE, EF, DF2, (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., (c) Assertion (A) is true but reason (R) is false., (d) Assertion (A) is false but reason (R) is true., Sol : www.cbse.site/ma/fm118, , 22. In TABC , AB = 6 3 cm , AC = 12 cm, BC = 6 cm , then +B = .................. ., (a) 30c, (b) 60c, (c) 45c, (d) 90c, Sol : www.cbse.site/ma/fm122, , 23. The perimeters of two similar triangles are 25 cm and, 15 cm respectively. If one side of the first triangle is, 9 cm, then the corresponding side of second triangle, is ................... ., (a) 4.2 cm, (b) 5.4 cm, (c) 20 cm, (d) 6 cm, , 19. TABC is an equilateral triangle of side 2a , then, , and, , Sol : www.cbse.site/ma/fm123
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 74, , Triangles, , 24. If, TABC + TPQR ,, ar (TABC), =?, ar (TPQR), (a) 13, (b), (c), (d), , and, , AB = 1 ,, 3, PQ, , then, , 1, 9, 8, 9, 5, 9, , be, (a), (b), (c), (d), , Chap 4, , 1, 3, 1, 9, 8, 9, 5, 9, , Sol : www.cbse.site/ma/fm128, , Sol : www.cbse.site/ma/fm124, 29. In TABC, DE | | BC, the value of x will be, 25. In figure, MN < BC and AM : MB = 1 : 2 , then, ar (TAMN), = ................... ., ar (TABC), , (a) 1, (a), (b), (c), (d), , 1, 3, 1, 9, 8, 9, 5, 9, , (b) 2, (c) 3, (d) 4, Sol : www.cbse.site/ma/fm129, , Sol : www.cbse.site/ma/fm125, 26. The corresponding sides of two similar triangles, are in the ratio 3 : 4, then the ratio of the areas of, triangles is ..................., (a) 13, (b), (c), (d), , 1, 9, 9, 16, 3, 4, , Sol : www.cbse.site/ma/fm126, 27. The perimeters of two similar triangles TABC and, TPQR are 35 cm and 45 cm respectively, then the, ratio of the areas of the two triangles is ........., (a) 29, (b), (c), (d), , 30. TABC is isosceles with AC = BC . If AB2 = 2AC2 ,, then the measure of +C will be, (a) 30c, (b) 60c, (c) 45c, (d) 90c, Sol : www.cbse.site/ma/fm130, 31. In Figure, DE | | BC and given that AE = 1.8 cm,, BD = 7.2 cm and CE = 5.4 cm . The length of side, AD will be, , 7, 9, 49, 81, 3, 4, , Sol : www.cbse.site/ma/fm127, 28. If TABC + TPQR , AB = 1 , then arTABC will, 3, PQ, arTPQR, , (a) 1.6 cm
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 4, (b) 1.9 cm, (c) 2.1 cm, , Triangles, , Page 75, , 34. In given figure DE | | BC. If AD = 3c, DB = 4c cm, and AE = 6 cm then EC will be, , (d) 2.4 cm, Sol : www.cbse.site/ma/fm131, 32. In the given figure, if +A = 90º, +B = 90º, OB = 4.5, cm OA = 6 cm and AP = 4 cm then QB will be, , (a) 12 cm, (b) 6 cm, (c) 8 cm, (d) 10 cm, Sol : www.cbse.site/ma/fm134, , (a) 2 cm, (b) 3 cm, , 35. If triangle ABC is similar to triangle DEF such that, 2AB = DE and BC = 8 cm then EF will be, (a) 16 cm, , (c) 4 cm, , (b) 14 cm, , (d) 6 cm, , (c) 12 cm, , Sol : www.cbse.site/ma/fm132, , (d) 10 cm, Sol : www.cbse.site/ma/fm135, , 33. In the figure, PQ is parallel to MN. If KP = 4 and, 13, PM, KN = 20.4 cm then KQ will be, , 36. In Figure +D = +E and AD = AE , then TBAC, DB, EC, is, , (a) isosceles triangle, (b) scalene triangle, (a) 4.1 cm, , (c) equilateral triangle, , (b) 5.2 cm, , (d) right angle triangle, , (c) 4.8 cm, , Sol : www.cbse.site/ma/fm136, , (d) 5.4 cm, Sol : www.cbse.site/ma/fm133, , 37. In Figure, ABC is an isosceles triangle right angled
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 76, , Triangles, , at C with AC = 4 cm , the length of AB will be, , Chap 4, , 40. In the given figure, TABC ~TPQR. The value of, y + z will be, , (a) 4 3, (b) 4 2, (c) 2 2, (d) 3 2, Sol : www.cbse.site/ma/fm137, , (a) 2 2 + 3, (b) 3 3 + 4, (c) 3 2 + 1, (d) 2 3 + 2, Sol : www.cbse.site/ma/fm140, , 38. In the figure of TABC, the points D and E are on, the sides CA, CB respectively such that DE | | AB,, AD = 2x, DC = x + 3, BE = 2x - 1 and CE = x., Then, value of x will be, , 41. In an equilateral triangle of side 24 cm, the length of, the altitude will be, (a) 8 2, (b) 8 3, (c) 12 2, (d) 12 3, Sol : www.cbse.site/ma/fm141, 42. What is the altitude of an equilateral triangle when, each of its side is a ?, (a) 13 a, , (a), (b), (c), (d), , 4, 5, 1, 5, 3, 5, 2, 5, , Sol : www.cbse.site/ma/fm138, 39. In an equilateral triangle of side 3 3 cm the length, of the altitude will be, (a) 6.5 cm, (b) 5.5 cm, (c) 4.5 cm, (d) 7.5 cm, Sol : www.cbse.site/ma/fm139, , (b), , 3, 3, , a, , (c), , 3, 4, , a, , (d), , 3, 2, , a, , Sol : www.cbse.site/ma/fm142, 43. In the given triangle PQR, +QPR = 90º, PQ = 24, cm and QR = 26 cm and in TPKR, +PKR = 90º, and KR = 8 cm, the length of PK will be
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 4, , Triangles, , (a) 3 cm, , (c) 4 km, , (b) 4 cm, , (d) 5 km, , (c) 5 cm, , Sol : www.cbse.site/ma/fm146, , (d) 6 cm, Sol : www.cbse.site/ma/fm143, , Page 77, , 47. In the given figures, the measure of +X will be, , 44. In the given figure, in a triangle PQR, ST | | QR and, PS, 3, SQ = 5 and PR = 28 cm, the length of PT will be, , (a) 21 cm, (b) 10.5 cm, (c) 15 cm, (d) 15.5 cm, Sol : www.cbse.site/ma/fm144, , (a) 30c, (b) 60c, , 45. In the given figure, if ABCD is a trapezium in which, AB | | CD | | EF, then AE, ED = ?, , (c) 45c, (d) 50c, Sol : www.cbse.site/ma/fm147, , Direction For Question :, In the given figure, PQR is a triangle right angled, at Q and XY | | QR. If PQ = 6 cm, PY = 4 cm and, PX: XQ = 1: 2., (a), (b), (c), (d), , 2FC, BF, 2BF, FC, FC, BF, BF, FC, , Sol : www.cbse.site/ma/fm145, 46. In a rectangle ABCD, E is a point on AB such that, AE = 23 AB. If AB = 6 km and AD = 3 km, then, length of DE. will be, (a) 2 km, (b) 3 km, , 48. The length of PR will be
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 78, , Triangles, , Chap 4, , (b) 2 3 cm, , AD2 is equal to, (a) 3BD2, , (c) 6 3 cm, , (b) 2BD2, , (d) 18 cm, , (c) BD2, , (a) 12 cm, , Sol : www.cbse.site/ma/fm148, , (d), , 1, 2, , BD2, , Sol : www.cbse.site/ma/fm151, 49. The length of QR will be, (a) 16 cm, (b) 2 3 cm, (c) 6 3 cm, , 53. In the figure, PQRS is a trapezium in which, PQ | | RS. On PQ and RS, there are points E and F, respectively such that EF intersects SQ at G . Now, the term EQ # GS is equal to, , (d) 18 cm, Sol : www.cbse.site/ma/fm148, 50. Triangle ABC is right angled at C. Let BC = a,, CA = b, AB = c PQR, ST || QR and p be the length, of perpendicular from C to AB . The cp is equal to, (a) GQ # FS, (b) 2GQ # FS, (c) 3GQ # FS, (d) 4GQ # FS, Sol : www.cbse.site/ma/fm152, 54. A man steadily goes 10 m due east and then 24 m, due north. What is the distance from the starting, point., (a) 25 m, , (a) ab, (b), (c), , ab, a+b, 2, , (b) 26 m, , (d) 2ab, , (c) 15 m, , Sol : www.cbse.site/ma/fm149, , (d) 18 m, Sol : www.cbse.site/ma/fm153, , 51., , ABCD is a trapezium in which AB | | CD and its, diagonals intersect each other at the point O. Which, of the following is correct relation ?, 2DO, (a) AO, BO = CO, (b), (c), (d), , AO, BO, AO, BO, AO, BO, , =, =, =, , DO, CO, CO, DO, 2CO, DO, , Sol : www.cbse.site/ma/fm150, 52. In an equilateral triangle ABC, AD is drawn, perpendicular to BC meeting BC in D. The term, , 55. In the given figure, if OA # OB = OC # OD, which, of the option is correct ?
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 4, , Triangles, , Page 79, , (a) +A = +C and +B = +D, , (d) 9 cm, , (b) +A = +B and +C = +D, , Sol : www.cbse.site/ma/fm156, , (c) +A = +D and +B = +C, (d) Above all, Sol : www.cbse.site/ma/fm154, , 58. The length BR is, (a) 15 cm, (b) 25 cm, , 56. In the given figure, if AB | | DC, the value of x will, be, , (c) 12 cm, (d) 9 cm, Sol : www.cbse.site/ma/fm156, 59. Triangle TABC is right angled at C. If p is the, length of the perpendicular from C to AB and a, b, c, are the lengths of the sides opposite +A, +B and, +C respectively, then 12 is equal to, p, (a) aa -+ bb, 2, , (b), (c), , 2, , a+b, a2 + b2, 1, 1, a2, b2, 2ab, a2 + b2, , +, , (a) 3, , (d), , (b) 6, , Sol : www.cbse.site/ma/fm157, , (c) 7, (d) 8, Sol : www.cbse.site/ma/fm155, , 60. In TABC, DE | | BC. If AD = x + 2, DB = 3x + 16,, AE = x and EC = 3x + 5, then x is equal to, (a) 2, (b) 3, , Direction For Question : (57-58), In the given figure below, CB | | QR and CA | | PR., Also AQ = 12 cm, AR = 20 cm, PB = CQ = 15 cm., Calculate PC and BR., , (c) 4, (d) 5, Sol : www.cbse.site/ma/fm158, 61. Given TABC ~TDEF , what is the ratio of, ar ^TABC h, ar ^TDEF h, , 57. The length PC is, (a) 15 cm, (b) 25 cm, (c) 12 cm
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 80, , Triangles, , (a) 3 : 4, (b) 9 : 25, (c) 9 : 16, (d) 1 : 16, Sol : www.cbse.site/ma/fm159, , Chap 4, , 65. Two similar triangles ABC and PQR have their, areas 25 cm2 and 49 cm2 respectively. If QR = 9.8, cm, what is the length of side BC ?, (a) 2 cm, (b) 5 cm, (c) 7 cm, (d) 4 cm, , 62. If in TABC, AD is median and AE = BC, then, AB2 + AC2 equal to, (a) 2AD2 + BC2, (b), , 1, 2, , AD2 + 2BC2, , Sol : www.cbse.site/ma/fm162, 66. In the given figure, the value of x is, , (c) AD2 + 2BC2, (d) 2AD2 + 12 BC2, Sol : www.cbse.site/ma/fm160, 63. From an airport, two aeroplanes start at the same, time. If speed of first aeroplane due North is 500, km/h and that of other due East is 650 km/h then, the approximate distance between the two aeroplanes, after 2 hours will be, (a) 1890 km, , (a), , bc, a+c, , (b) 1120 km, , (b), , (c) 1640 km, , (c), , (d) 2240 km, , (d), , ac, b+c, ac, a+b, bc, a+b, , Sol : www.cbse.site/ma/fm161, , Sol : www.cbse.site/ma/fm164, , 64. In the given figure, BL and CM are medians of, TABC, right angled at A. The term 4 ^BL2 + CM2h, is equal to, , Direction For Question : (67-68), In the given figure, BC | | PQ and BC = 8 cm,, PQ = 4 cm, BA = 6.5 cm AP = 2.8 cm., 67. The length of CA is, , (a) 5BC2, (b) 4BC2, (c) 3BC2, (d) 2BC2, Sol : www.cbse.site/ma/fm163, , (a) 2.80 cm, (b) 5.60 cm, (c) 3.25 cm
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 4, , Triangles, , (d) 2.10 cm, , Page 81, , Sol : www.cbse.site/ma/fm167, , Sol : www.cbse.site/ma/fm165, 68. The length of AQ is, (a) 2.80 cm, , 71. In the given figure, DEFG is a square and, +BAC = 90c. The term FG2 is equal to, , (b) 5.60 cm, (c) 3.25 cm, (d) 2.10 cm, Sol : www.cbse.site/ma/fm165, 69. In the given figure, if AD = BC, the term AB2 + CD2, is equal to, , (a), , 1, 3, , BG # FC, , (b) BG # FC, (c), (d), , 2, 3, 1, 4, , BG # FC, BG # FC, , Sol : www.cbse.site/ma/fm168, 72. In Figure DEFG is a square in a triangle ABC right, angled at A., Which of the following statement is/are correct?, (i) TAGF + TDBG, (ii) TAGF + TEFC, (a) 2BD2 + 3AC2, (b), , 1, 2, , BD2 + AC2, , (c) BD2 + 12 AC2, (d) BD2 + AC2, Sol : www.cbse.site/ma/fm166, 70. In the given figure, CD | | LA and DE | | AC. If, BE = 4 cm and EC = 2 cm, the length of CL will be, , (a) Only (i) is correct, (b) Only (ii) is correct, (c) Both (i) and (ii) are correct., (d) Both are wrong., Sol : www.cbse.site/ma/fm169, , (a) 3 cm, (b) 6 cm, (c) 8 cm, (d) 12 cm, , Direction For Question : (73-75), In Figure, if TABC + TDEF and their sides of, lengths (in cm) are marked along them, then find, the lengths of sides of each triangle.
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 82, , Triangles, , Chap 4, , Sol : www.cbse.site/ma/fm171, 77. Triangle TPQR, is right angled at Q ., QX = PR, XY = RQ and XZ = PQ are drawn., The term XZ2 is equal to, , 73. The length of side AB is, (a) 9, (b) 12, (c) 15, (d) 24, Sol : www.cbse.site/ma/fm170, 74. The length of side AC is, (a) 10, (b) 12, (c) 15, (d) 24, Sol : www.cbse.site/ma/fm170, 75. The length of side DE is, (a) 30, (b) 18, (c) 15, , (a), (b), (c), , 1, 2, 2, 3, 1, 4, , PZ # ZQ, PZ # ZQ, PZ # ZQ, , (d) PZ # ZQ, Sol : www.cbse.site/ma/fm172, 78. In TABC, if +ADE = +B, then prove that, TADE ~TABC. Also, if AD = 7.6 cm, AE = 7.2, cm, BE = 4.2 cm and BC = 8.4 cm, then length DE, will be, , (d) 24, Sol : www.cbse.site/ma/fm170, 76. In given figure, +ACB = 90c and CD = AB , the, term CD2 is equal to, , (a) 5.6 cm, (b) 2.8 cm, (c) 4.8 cm, (d) 3.8 cm, (a), , 1, 2, , BD # AD, , (b) BD # AD, (c), (d), , 1, 3, 1, 4, , BD # AD, BD # AD, , Sol : www.cbse.site/ma/fm173, 79. In TABC, the mid-points of sides BC, CA and AB, are D , E and F respectively. The ratio of ar (TDEF)
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 4, , Triangles, , to ar ^TABC h is, (a) 23, (b), (c), (d), , Page 83, , 83. In the given figure, D and E trisect BC. The term, 3AC2 + 5AD2, , 1, 3, 1, 4, 1, 2, , Sol : www.cbse.site/ma/fm174, 80. In the right triangle, B is a point on AC such, that AB + AD = BC + CD. If AB = x, BC = h and, CD = d, then x will be, (a) 2h2hd, +d, (b), (c), (d), , 2hd, h+d, hd, h + 2d, hd, 2h + d, , Sol : www.cbse.site/ma/fm175, , (a) 2AE2, (b) 4AE2, (c) 6AE2, (d) 8AE2, Sol : www.cbse.site/ma/fm177, , Direction For Question : (81-82), ABCD is a rhombus whose diagonal AC makes an, angle a with AB. Here cos a = 23 and OB = 3 cm., , COMPETENCEY BASED QUESTIONS, Direction For Question : (84-86), Two poles, 30 feet and 50 feet tall, are 40 feet apart, and perpendicular to the ground. The poles are, supported by wires attached from the top of each, pole to the bottom of the other, as in the figure. A, coupling is placed at C where the two wires cross., , 81. The length of its diagonal BD is, (a) 6 cm, (b) 5 cm, (c), (d), , 9, 5, 12, 5, , cm, cm, , Sol : www.cbse.site/ma/fm176, 82. The length of its diagonal AC is, (a) 6 cm, (b) 5 cm, (c), (d), , 9, 5, 12, 5, , cm, cm, , Sol : www.cbse.site/ma/fm176, , 84. What is the horizontal distance from C to the taller, pole?, (a) 32 feet, (b) 25 feet, (c) 18 feet
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 84, (d) 30 feet, Sol : www.cbse.site/ma/fm178, , Triangles, , Chap 4, , neighbour’s dog bumps the ladder, which moves the, base 2 feet farther away from the house. How far up, the side of the house does the ladder reach?, , 85. How high above the ground is the coupling ?, (a) 12.75 feet, (b) 18.75 feet, (c) 25.25 feet, (d) 30.50 feet, Sol : www.cbse.site/ma/fm178, 86. How far down the wire from the smaller pole is the, coupling ?, (a) 12.75 feet, (b) 18.75 feet, (c) 25.25 feet, (d) 30.50 feet, Sol : www.cbse.site/ma/fm178, , (a) 12 feet, (b) 20 feet, (c) 15 feet, , 87. Aakesh wanted to determine the height of a tree on, the corner of his block. He knew that a certain fence, by the tree was 4 feet tall. At 3 PM, he measured, the shadow of the fence to be 2.5 feet tall. Then he, measured the tree’s shadow to be 11.3 feet. What is, the height of the tree?, , (d) 30 feet, Sol : www.cbse.site/ma/fm180, 89. Windmill : A windmill is a device for tapping the, energy of the wind by means of sails mounted on a, rotating shaft. Windmills still used today, mainly in, parts of the world which have traditionally relied on, them, are powered by electricity or water., , (a) 12 feet, (b) 11 feet, (c) 18 feet, (d) 30 feet, Sol : www.cbse.site/ma/fm179, 88. Wall Paint : A painter sets a ladder up to reach, the bottom of a second-story window 16 feet above, the ground. The base of the ladder is 12 feet from, the house. While the painter mixes the paint, a, , Anil is constructing a 8 m tall windmill supported, by two wires. One wire must be 10 m long and, the distance between the wires must be 21 m. Anil, wanted to know what length to cut for the other, wire., (a) 17 m
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 4, , Triangles, , (b) 11 m, (c) 18 m, (d) 30 m, Sol : www.cbse.site/ma/fm181, 90. Helicopter Patrolling : A helicopter is hovering over, a crowd of people watching a police standoff in a, parking garage across the street. Stewart notices the, shadow of the helicopter is lagging approximately 57, m behind a point directly below the helicopter. If he, is 160 cm tall and casts a shadow of 38 cm at this, time, what is the altitude of the helicopter?, , Page 85, , 92. Swimmer in Distress : A lifeguard located 20 metre, from the water spots a swimmer in distress. The, swimmer is 30 metre from shore and 100 metre east, of the lifeguard. Suppose the lifeguard runs and then, swims to the swimmer in a direct line, as shown in, the figure. How far east from his original position, will he enter the water? (Hint: Find the value of x, in the sketch.), , (a) 20 m, (b) 40 m, (c) 60 m, (a) 120 m, , (d) 80 m, , (b) 240 m, , Sol : www.cbse.site/ma/fm184, , (c) 140 m, (d) 210 m, Sol : www.cbse.site/ma/fm182, 91. The boxes used to ship some washing machines are, perfect cubes with edges a . What is the length of the, diagonal d of one side, and the length of the interior, diagonal D (through the middle of the box)?, , (a), , 2 a and, , 2a, , (b) a 3 and, , 2a, , (c), , 2 a and a 3, , (d) 2 2 a and 2a 3, Sol : www.cbse.site/ma/fm183, , 93. Two Ships : Two ships are cruising together on the, open ocean at 6 nautical miles per hour. One of, them turns to make a angle 90c with the first and, increases speed, heading for port. Assuming the first, ship continues traveling at 6 knots, what is the speed, of the other ship if they are 10 mi apart after 1 hr., , (a) 6 nautical mile/hour., (b) 8 nautical mile/hour., (c) 10 nautical mile/hour., (d) 12 nautical mile/hour., Sol : www.cbse.site/ma/fm185
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 86, 94. Statue of a Pineapple : The Big Pineapple is a, heritage-listed tourist attraction at Nambour, Connection Road, Woombye, Sunshine Coast, Region, Queensland, Australia. It was designed by, Peddle Thorp and Harvey, Paul Luff, and Gary, Smallcombe and Associates. It is also known as, Sunshine Plantation. It was added to the Queensland, Heritage Register on 6 March 2009., , Triangles, , Chap 4, , is the height of Rohan ?, (a) 145 cm, (b) 120 cm, (c) 150 cm, (d) 175 cm, Sol : www.cbse.site/ma/fm187, 96. What is the minimum time after which his shadow, will become larger than his original height?, (a) 1 sec, (b) 2 sec, (c) 3 sec, (d) 4 sec, Sol : www.cbse.site/ma/fm187, , Ishita last year visited Nambour and wanted to find, the height of a statue of a pineapple. She measured, the pineapple’s shadow and her own shadow. Her, height is 156 cm and casts a shadow of 39 cm. The, length of shadow of pineapple is 4 m. What is the, height of the pineapple?, (a) 10 m, (b) 12 m, , 97. What is the distance of Rohan from pole at this, point ?, (a) 2 m, (b) 1 m, (c) 3 m, (d) 4 m, Sol : www.cbse.site/ma/fm187, , (c) 14 m, (d) 16 m, Sol : www.cbse.site/ma/fm186, , 98. What will be the length of his shadow after 4 seconds?, (a) 2 m, (b) 1 m, (c) 3 m, , Direction For Question : (95-99), Rohan is very intelligent in maths. He always try, to relate the concept of maths in daily life. One day, he is walking away from the base of a lamp post at, a speed of 1 m/s. Lamp is 4.5 m above the ground., , (d) 4 m, Sol : www.cbse.site/ma/fm187, 99. Which similarity criterion is used in solving the, above problem, (a) SAS similarity criterion, (b) AA similarity criterion, (c) SSS similarity criterion, (d) None of these, Sol : www.cbse.site/ma/fm187, , 95. If after 2 second, length of shadow is 1 meter, what, , Direction For Question : (100-104), The law of reflection states that when a ray of light, reflects off a surface, the angle of incidence is equal
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 4, , Triangles, , to the angle of reflection., , Page 87, , Sol : www.cbse.site/ma/fm188, 103. Now Ramesh move behind such that distance, between pole and Ramesh is 13 meters. He place, mirror between him and pole to see the reflection of, light in right position. What is the distance between, mirror and Ramesh ?, (a) 7 metres, (b) 3 metres, , Ramesh places a mirror on level ground to determine, the height of a pole (with traffic light fired on it). He, stands at a certain distance so that he can see the, top of the pole reflected from the mirror. Ramesh’s, eye level is 1.5 m above the ground. The distance of, Ramesh and the pole from the mirror are 1.8 m and, 6 m respectively., , (c) 5 metres, (d) 4 metres, Sol : www.cbse.site/ma/fm188, 104. What is the distance between mirror and pole?, (a) 9 metres, (b) 8 metres, (c) 12 metres, (d) 10 metres, Sol : www.cbse.site/ma/fm188, , 100. Which criterion of similarity is applicable to similar, triangles?, (a) SSA, (b) ASA, (c) SSS, (d) AA, , Direction For Question : (105-109), Tania is very intelligent in maths. She always try to, relate the concept of maths in daily life. One day, she plans to cross a river and want to know how far, it is to the other side. She takes measurements on, her side of the river and make the drawing as shown, below., , Sol : www.cbse.site/ma/fm188, 101. What is the height of the pole?, (a) 6 metres, (b) 8 metres, (c) 5 metres, (d) 4 metres, Sol : www.cbse.site/ma/fm188, 102. If angle of incidence is i , find tan i ., (a) tan i = 56, (b) tan i =, (c) tan i =, (d) tan i =, , 6, 5, 3, 5, 5, 3, , 105. Which similarity criterion is used in solving the, above problem ?, (a) SAS similarity criterion, (b) AA similarity criterion
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 88, , Triangles, , (c) SSS similarity criterion, (d) None of these, Sol : www.cbse.site/ma/fm189, , Chap 4, , Direction For Question : (110-114), Rani wants to make the curtains for her window as, shown in the figure. The window is in the shape of, a rectangle, whose width and height are in the ratio, 2 : 3 . The area of the window is 9600 square cm., , 106. Consider the following statement :, S1 : +ACB = +DCE, S2 : +BAC = +CDE, Which of the above statement is/are correct., (a) S1 and S2 both, (b) S1, (c) S2, (d) None, Sol : www.cbse.site/ma/fm189, 107. Consider the following statement :, S3 : AB = CA, DE, CD, S 4 : BC = AB, DE, CE, S5 : CA = DE, CD AB, Which of the above statements are correct ?, (a) S3 and S5, (b) S 4 and S5, (c) S3 and S 4, , 110. What is the shape of the window that is uncovered?, (a) Right triangle, (b) Equilateral triangle, (c) Isosceles triangle, (d) Rectangle, Sol : www.cbse.site/ma/fm190, , (d) All three, Sol : www.cbse.site/ma/fm189, 108. What is the distance x across the river?, (a) 96 ft, , 111. What will be the ratio of two sides of each curtain, (other than hypotenuse) ?, (a) 1 : 3, (b) 2 : 3, (c) 1 : 1, , (b) 48 ft, , (d) 3 : 2, , (c) 24 ft, , Sol : www.cbse.site/ma/fm190, , (d) 16 ft, Sol : www.cbse.site/ma/fm189, 109. What is the approximate length of AD shown in the, figure?, (a) 120 ft, (b) 160 ft, (c) 140 ft, , 112. What are the dimensions of the window ?, (a) 40 cm # 80 cm, (b) 20 cm # 60 cm, (c) 80 cm # 120 cm, (d) 40 cm # 120 cm, Sol : www.cbse.site/ma/fm190, , (d) 100 ft, Sol : www.cbse.site/ma/fm189, , 113. What will be the perimeter of the window ?, (a) 200 cm
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 4, , Triangles, , Page 89, , (b) 100 cm, (c) 400 cm, (d) 450 cm, Sol : www.cbse.site/ma/fm190, 114. How much window area is covered by the curtains?, (a) 50%, (b) 75%, (c) 25%, (d) 80%, Sol : www.cbse.site/ma/fm190, 115. What is the length of AH ?, (a) h2, Direction For Question : (115-118), The centroid is the centre point of the object. It is, also defined as the point of intersection of all the, three medians. The median is a line that joins the, midpoint of a side and the opposite vertex of the, triangle. The centroid of the triangle separates the, median in the ratio of 2 : 1. It can be found by taking, the average of x- coordinate points and y-coordinate, points of all the vertices of the triangle., See the figure given below, , (b), (c), (d), , 2h, 3, 3h, 4, h, 4, , Sol : www.cbse.site/ma/fm191, 116. What is the distance of point A from point G ?, (a) 2AF, 3, (b), (c), (d), , 3AF, 2, AF, 3, AF, 2, , Sol : www.cbse.site/ma/fm191, 117. What is the distance of point A from point J?, (a) 2AG, 3, (b), (c), (d), , 3AG, 4, AG, 3, AG, 2, , Sol : www.cbse.site/ma/fm191, Here D, E and F are mid points of sides BC , AC, and AB in same order. G is centroid, the centroid, divides the median in the ratio 2 : 1 with the larger, part towards the vertex. Thus AG : GD = 2 : 1, On the basis of above information read the question, below., If G is Centroid of 3 ABC with height h and J is, centroid of 3 ADE . Line DE parallel to BC , cuts, the 3 ABC at a height h4 from BC . HF = h4 ., , 118. What is the distance GJ ?, (a) AG, 3, (b), (c), (d), , AG, 4, 2AG, 3, AG, 2, , Sol : www.cbse.site/ma/fm191
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 90, , Triangles, , SELF TEST QUESTIONS, 119. Given TABC + TPQR , if, ar (TABC), = ...................., ar (TPQR), , AB, PQ, , = 1,, 3, , Chap 4, , (a) 9 : 7, (b) 16 : 49, then, , (a) 1 : 4, , (c) 8 : 36, (d) 9 : 49, Sol : www.cbse.site/ma/fm222, , (b) 1 : 8, (c) 1 : 9, (d) 1 : 16, Sol : www.cbse.site/ma/fm219, , 123. In given figure, D is a point on AC such that, AD = 2CD, also DE | | AB. What is the value of ratio, ar (TACB), ?, ar (TDCE), , 120. It is given that TABC + TPQR with BC = 1 ., 4, QR, ar (TPRQ), is equal to, Then, ar (TBCA), (a) 16, (b) 3, (c), (d), , 1, 4, 1, 16, , Sol : www.cbse.site/ma/fm220, , (a) 1 : 4, (b) 1 : 8, (c) 1 : 9, , 121. In TPQR , S and T are points on the sides PQ and, PR respectively, such that ST z QR . If PT = 2 cm, and TR = 4 cm, what is the ratio of the areas of, TPST and TPQR ?, (a) 1 : 4, (b) 1 : 8, (c) 1 : 9, (d) 1 : 16, Sol : www.cbse.site/ma/fm221, 122. In the given figure, ST | | RQ, PS = 3 cm and SR = 4, cm. What is the ratio of the area of TPST to the, area of TPRQ ?, , (d) 1 : 16, Sol : www.cbse.site/ma/fm223, 124. ABC is a triangle, PQ is the line segment intersecting, AB in P and AC in Q such that PQ | | BC and, divides TABC into two parts, the ratio BP : AB is, equal to, (a) ^ 2 - 1h : 2, (b) ^ 2 + 1h : 2, (c), 2 : ^ 2 + 1h, (d) 2 : ^ 2 - 1h, , Sol : www.cbse.site/ma/fm224, 125. A ladder 25 m long just reaches the top of a building, 24 m high from the ground. What is the distance of, the foot of ladder from the base of the building?, (a) 9 m, (b) 10.5 m, (c) 14 m, (d) 7 m, Sol : www.cbse.site/ma/fm225
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 4, , Triangles, , PA, 126. In the given figure, AQ, = BR, BR = 3 . If the area of, 2, TPQR is 32 cm , then the area of the quadrilateral, AQRB will be, , (a) 14 cm2, (b) 7 cm2, (c) 12 cm2, (d) 6 cm2, Sol : www.cbse.site/ma/fm226, 127. In Figure, DE | | BC, AD = 1 cm and BD = 2 cm, . What is the ratio of the ar (TABC) to the, ar ^TADE h ?, , (a) 9 : 1, (b) 4 : 1, (c) 3 : 1, (d) 8 : 1, Sol : www.cbse.site/ma/fm227, , Page 91, , 129. In Figure, in TABC , DE z BC such that, AD = 2.4 cm, AB = 3.2 cm and AC = 8 cm, then, what is the length of AE ?, , (a) 2 cm, (b) 4 cm, (c) 5 cm, (d) 6 cm, Sol : www.cbse.site/ma/fm228, 130. If P and Q are the points on side CA and CB, respectively of TABC , right angled at C , then, that ^AQ2 + BP2h = ^AB2 + PQ2h is equal to, , (a) 2 ^AB2 + PQ2h, (b) ^2AB2 + PQ2h, (c) ^AB2 + 2PQ2h, (d) ^AB2 + PQ2h, , Sol : www.cbse.site/ma/fm229, 128. Vertical angles of two isosceles triangles are equal., If their areas are in the ratio 16 : 25, then the ratio, of their altitudes drawn from vertex to the opposite, side will be, (a) 15, (b), (c), (d), , 3, 5, 2, 5, 4, 5, , Sol : www.cbse.site/ma/fm232, , 131. Two right triangles ABC and DBC are drawn on, the same hypotenuse BC and on the same side of, BC . If AC and BD intersect at P , then AP # PC, is equal to, (a) 3BP # DP, (b) 2BP # DP, (c) BP # DP, (d), , 1, 2, , BP # DP, , Sol : www.cbse.site/ma/fm230
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 92, 132. In the given figure, if +ACB = +CDA , AC = 6 cm, and AD = 3 cm, then the length of AB will be, , Triangles, , Chap 4, , Direction For Question : (17-18), In a right triangle ABC, right angled at C. P and, Q are points of the sides CA and CB respectively,, which divide these sides in the ratio 2 : 1., 135. The term AQ2 is equal to, (a) BC2 + 94 AC2, (b), , 4, 9, , BC2 + AC2, , (c) BC2 + 49 AC2, (d) BC2 + 49 AC2, (a) 6 cm, , Sol : www.cbse.site/ma/fm235, , (b) 4 cm, (c) 12 cm, (d) 8 cm, Sol : www.cbse.site/ma/fm231, , 136. The term AQ2 + BP2 is equal to, (a) 139 AB2, (b), (c), , 133. In TABC, AD = BC and point D lies on BC such, that 2DB = 3CD. The term AB2 ., (a) 15 AC2 + BC2, (b) AC2 + 15 BC2, (c) AC2 + 5BC2, (d) 5AC2 + BC2, Sol : www.cbse.site/ma/fm233, 134. In the figure, ABC is a right triangle, right angled at, B. AD and CE are two medians drawn from A and, C respectively. If AC = 5 cm and AD = 3 2 5 cm, the, length of CE will be, , (d), , 9, 13, 9, 8, 8, 9, , AB2, , AB2, AB2, , Sol : www.cbse.site/ma/fm236, 137. What is the length of the second diagonal of a, rhombus, whose side is 5 cm and one of the diagonals, is 6 cm?, (a) 8 cm, (b) 4 cm, (c) 12 cm, (d) 16 cm, Sol : www.cbse.site/ma/fm237, 138. Triangle ABC is an isosceles triangle in which, AB = AC = 10 cm BC = 12 cm. A rectangle PQRS, is inside the isosceles triangle. Given PQ = SR = y,, PS = PR = 2x . The value of x is, (a) 3 - 14 y, (b) 3 - 34 y, (c) 6 - 14 y, (d) 6 - 34 y, Sol : www.cbse.site/ma/fm238, , (a) 4 cm, (b) 6 cm, (c) 2 5 cm, , 139. If TABC is an obtuse angled triangle, obtuse angled, at B and if AD = CB. Term AC2 is equal to, (a) 2AB2 + 2BC2 + BC # BD, (b) AB2 + BC2 + 2BC # BD, , (d) 4 5 cm, , (c) AB2 + BC2 + BC # BD, , Sol : www.cbse.site/ma/fm234, , (d) AB2 + BC2 + 12 BC # BD
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 4, , Triangles, , Sol : www.cbse.site/ma/fm239, , Page 93, , (c) rectangle, (d) rhombus, , 140. If A be the area of a right triangle and b be one of, the sides containing the right angle, the length of the, altitude on the hypotenuse is, (a) b4+Ab2A, 4, , 2, , 2Ab, b4 + A2, 2Ab, b 4 + 4A2, 4Ab, b4 + A2, , (b), (c), (d), , Sol : www.cbse.site/ma/fm243, 144. In the given figure, P and Q are the points on the, sides AB and AC respectively of TABC, such that, AP = 3.5 cm, PB = 7 cm, AQ = 3 cm and QC = 6, cm. If PQ = 4.5 cm, the length BC. will be, , Sol : www.cbse.site/ma/fm240, 141. In an equilateral triangle ABC, D is a point on the, side BC such the BD = 13 BC. The term AD2 is equal, to, (a) 79 AB2, (b), (c), (d), , 7, 9, 4, 5, 5, 4, , AB2, AB2, AB2, , Sol : www.cbse.site/ma/fm241, , (a) 10.5 cm, (b) 12.5 cm, (c) 13.5 cm, , 142. In the given figure, ABC is a right angled triangle,, +B = 90º. If D is the mid-point of BC , then AC2, equal to, , (d) 11.5 cm, Sol : www.cbse.site/ma/fm244, 145. In given figure TABC~TDEF. AP bisects +CAB, and DQ bisects +FDE., , (a) 3AD2 + CD2, (b) AD2 + 3CD2, (c) 3AD2 + 13 CD2, (d), , 1, 3, , AD2 + 3CD2, , Sol : www.cbse.site/ma/fm242, 143. If the diagonals of a quadrilateral divide each other, proportionally, then it is a, (a) trapezium, (b) square, , Consider the following statement:, (1) AP = AB, DE, DQ, (2) TCAP~TFDQ, Which of the above are correct statement?, (a) only 1, (b) only 2, (c) both 1 and 2, (d) none
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 94, , Triangles, , PR | | BD. Which of the following is correct option ?, , Sol : www.cbse.site/ma/fm245, 146. In the given figure, DB = BC, DE = AB, AC = BC. The term BE is equal to, DE, , Chap 4, , and, , (a) PR || BD, (b) QR | | AD, (c) (a) and (b), (a), (b), , AC, BC, BC, AC, , (d) none, Sol : www.cbse.site/ma/fm248, , (c) AC # BC, (d) AC + BC, Sol : www.cbse.site/ma/fm246, 147. In the given figure, TABC and TABC and TDBC, are on the same base BC. AD and BC intersect at, ar ^TABC h, is equal to, O. Term, ar ^TDBC h, , 149. The perpendicular AD on the base BC of a TABC, intersects BC at D so that DB = 3CD. The term, AB2 is equal to, (a) 2AC2 + BC2, (b) AC2 + 2BC2, (c), , 1, 2, , AC2 + 2BC2, , (d) AC2 + 12 BC2, Sol : www.cbse.site/ma/fm249, 150. Diagonals of a trapezium PQRS intersect each other, at the point O, PQ | | RS and PQ = 3RS . What is, the ratio of the areas of triangles POQ and ROS ?, (a) 9 : 1, (b) 8 : 1, , (a), (b), (c), (d), , DO, AO, AO, DO, DO + AO, AO, DO + AO, DO, , Sol : www.cbse.site/ma/fm247, 148. In the given figure, two triangles ABC and DBC, lie on the same side of BC such that PQ | | BA and, , (c) 3 : 1, (d) 16 : 1, Sol : www.cbse.site/ma/fm250, 151. Let TABC ~TDEF. if ar ^TABC h = 100 cm2,, ar ^DEF h = 196 cm2, and DE = 7, then what is the, length of side AB ?, (a) 2 cm, (b) 5 cm, (c) 7 cm, (d) 4 cm, Sol : www.cbse.site/ma/fm251
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 4, 152. In the given figure, DE | | BC. If AD = 1.5 cm, ar ^TADE h, ?, BD = 2AD, then what is the value of, ar ^:BCED h, , (a) 1 : 4, (b) 1 : 8, (c) 1 : 9, (d) 1 : 16, Sol : www.cbse.site/ma/fm252, 153. The sides AB and AC and the perimeter P1 of TABC, are respectively three times the corresponding sides, DE and DF and the parameter P2 of TDEF. What, ar ^TABC h, is the value of, ?, ar ^TDEF h, (a) 4, (b) 8, (c) 9, (d) 16, Sol : www.cbse.site/ma/fm253, , Triangles, , Page 95
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 96, , Coordinate Geometry, , Chap 5, , CHAPTER 5, COORDINATE GEOMETRY, 1., , The point P on x -axis equidistant from the points, A (- 1, 0) and B (5, 0) is, (a) (2, 0), , then the value of k is, (a) 1, , (b) (0, 2), , (c) - 2, , (c) (3, 0), , (d) - 1, , (b) 2, , (d) (- 3, 5), , Sol : www.cbse.site/ma/gm105, , Sol : www.cbse.site/ma/gm101, 6., 2., , If the point P (6, 2) divides the line segment joining, A (6, 5) and B (4, y) in the ratio 3 : 1 then the value, of y is, (a) 4, , (b) (0, 4), (c) (- 4, 0 ), , (b) 3, , (d) (0, - 4 ), , (c) 2, , Sol : www.cbse.site/ma/gm106, , (d) 1, Sol : www.cbse.site/ma/gm102, 3., , The coordinates of a point A on y -axis, at a distance, of 4 units from x -axis and below it are, (a) (4, 0), , 7., , The co-ordinates of the point which is reflection of, point (- 3, 5) in x -axis are, (a) (3, 5), , The distance of the point (- 12, 5) from the origin is, (a) 12, (b) 5, (c) 13, (d) 169, , (b) (3, - 5 ), , Sol : www.cbse.site/ma/gm107, , (c) (- 3, - 5), (d) (- 3, 5), Sol : www.cbse.site/ma/gm103, 4., , 8., , (b) 4 units, , The distance between the points (a cos q + b sin q, 0), , and (0, a sin q - b cos q) is, (a) a2 + b2, , (c) 5 units, (d) 1 units, Sol : www.cbse.site/ma/gm108, , (b) a2 - b2, 2, , Distance of point P (3, 4) from x -axis is, (a) 3 units, , 2, , (c), , a +b, , (d), , a2 - b2, , Sol : www.cbse.site/ma/gm104, , 9., , The distance of the point P (- 3, - 4) from the x, -axis (in units) is, (a) 3, (b) - 3, , 5., , If the point P (k, 0) divides the line segment joining, the points A (2, - 2) and B (- 7, 4) in the ratio 1 : 2,, , (c) 4, (d) 5
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 5, , Coordinate Geometry, , 10. If A ^ m3 , 5h is the mid-point of the line segment, joining the points Q (- 6, 7) and R (- 2, 3), then the, value of m is, (a) - 12, , 15. If the distance between the points A (4, p) and, B (1, 0) is 5 units then the value(s) of p is(are), (a) 4 only, (b) - 4 only, , (b) - 4, , (c) ! 4, , (c) 12, , (d) 0, , (d) - 6, , Page 97, , Sol : www.cbse.site/ma/gm115, , Sol : www.cbse.site/ma/gm110, 11. The mid-point of the line-segment AB is P (0, 4),, if the coordinates of B are (- 2, 3) then the coordinates of A are, (a) (2, 5), , 16. If the points (a, 0), (0, b) and (1, 1) are collinear,, then 1 + 1 equals, a b, (a) 1, (b) 2, , (b) (- 2, - 5), , (c) 0, , (c) (2, 9), , (d) - 1, , (d) (- 2, 11), , Sol : www.cbse.site/ma/gm116, , Sol : www.cbse.site/ma/gm111, 12., , x -axis divides the line segment joining A (2, - 3) and, B (5, 6) in the ratio, (a) 2 : 3, , 17. If the points A (4, 3) and B (x, 5) are on the circle, with centre O (2, 3), then the value of x is, (a) 0, (b) 1, , (b) 3 : 5, , (c) 2, , (c) 1 : 2, , (d) 3, , (d) 2 : 1, , Sol : www.cbse.site/ma/gm117, , Sol : www.cbse.site/ma/gm112, 13. The point which divides the line segment joining the, points (8, - 9) and (2, 3) in the ratio 1 : 2 internally, lies in the, (a) I quadrant, , 18. The ratio in which the point (2, y) divides the join of, (- 4, 3) and (6, 3), hence the value of y is, (a) 2 : 3, y = 3, (b) 3 : 2, y = 4, (c) 3 : 2, y = 3, , (b) II quadrant, , (d) 3 : 2, y = 2, , (c) III quadrant, , Sol : www.cbse.site/ma/gm118, , (d) IV quadrant, Sol : www.cbse.site/ma/gm113, 14. If the centre of a circle is (3, 5) and end points of a, diameter are (4, 7) and (2, y ), then the value of y is, (a) 3, , 19. The point on the x -axis which is equidistant from, the points A (- 2, 3) and B (5, 4) is, (a) (0, 2), (b) (2, 0), (c) (3, 0), , (b) - 3, , (d) (- 2, 0), , (c) 7, , Sol : www.cbse.site/ma/gm119, , (d) 4, Sol : www.cbse.site/ma/gm114, , 20. C is the mid-point of PQ , if P is (4, x), C is (y, - 1)
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 98, , Coordinate Geometry, , and Q is (- 2, 4), then x and y respectively are, (a) - 6 and 1, , B ^0, - 2h is, (a) 6, , (b) - 6 and 2, , (b) 8, , (c) 6 and - 1, , (c) 4, , (d) 6 and - 2, , (d) 2, , Sol : www.cbse.site/ma/gm120, , Sol : www.cbse.site/ma/gm125, , 21. If three points (0, 0), (3, 3 ) and (3, l) form an, equilateral triangle, then l equals, (a) 2, , 26. The distance of the point P ^- 6, 8h from the origin is, (a) 8, (b) 2 7, , (b) - 3, , (c) 10, , (c) - 4, , (d) 6, , (d) None of these, , Chap 5, , Sol : www.cbse.site/ma/gm126, , Sol : www.cbse.site/ma/gm121, , 22. If x - 2y + k = 0 is a median of the triangle whose, vertices are at points A (- 1, 3), B (0, 4) and, C (- 5, 2), then the value of k is, (a) 2, , 27. If AOBC is a rectangle whose three vertices are, A ^0, 3h , O ^0, 0h and B ^5, 0h , then the length of its, diagonal is, , (b) 4, (c) 6, (d) 8, Sol : www.cbse.site/ma/gm122, 23. The centroid of the triangle whose vertices are, (3, - 7), (- 8, 6) and (5, 10) is, (a) (0, 9), (b) (0, 3), (c) (1, 3), , (a) 5, (b) 3, (c), , 34, , (d) 4, Sol : www.cbse.site/ma/gm127, , (d) (3, 5), Sol : www.cbse.site/ma/gm123, , 28. The distance between the points (0, 5) and ^- 5, 0h is, (a) 5, , 24. The distance of the point P ^2, 3h from the x -axis is, (a) 2, , (b) 5 2, (c) 2 5, , (b) 3, , (d) 10, , (c) 1, , Sol : www.cbse.site/ma/gm128, , (d) 5, Sol : www.cbse.site/ma/gm124, 25. The distance between the points A ^0, 6h and, , 29. The point which lies on the perpendicular bisector of, the line segment joining the points A ^- 2, - 5h and, B ^2, 5h is, (a) (0, 0)
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 5, , Coordinate Geometry, , Page 99, , (b) (0, 2), , the points A ^1, 5h and B ^4, 6h cuts the y -axis at, , (c) (2, 0), , (a) (0, 13), , (d) ^- 2, 0h, Sol : www.cbse.site/ma/gm130, , (b) ^0, - 13h, (c) (0, 12), , (d) (13, 0), , Sol : www.cbse.site/ma/gm133, 30. The perimeter of a triangle with vertices (0, 4), (0,, 0) and (3, 0) is, , 34. If the distance between the points ^4, p h and (1, 0) is, 5, then the value of p is, (a) 4 only, (b) ! 4, (c) - 4 only, (d) 0, Sol : www.cbse.site/ma/gm134, Sol :, 35. Assertion : The value of y is 6, for which the distance, between the points P ^2, - 3h and Q ^10, y h is 10., Reason : Distance between two given points, A ^x1, y1h and B ^x2, y2h is given,, , (a) 5, (b) 12, (c) 11, (d) 7 +, , 5, , Sol : www.cbse.site/ma/gm129, 31. If the point P ^2, 1h lies on the line segment joining, points A ^4, 2h and B ^8, 4h , then, (a) AP = 13 AB, , AB = ^x2 - x1h2 + ^y2 - y1h2, (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., , (b) AP = PB, , (c) Assertion (A) is true but reason (R) is false., , (c) PB = 13 AB, , (d) Assertion (A) is false but reason (R) is true., , (d) AP = AB, , Sol : www.cbse.site/ma/gm135, , 1, 2, , Sol : www.cbse.site/ma/gm131, 32. If P ` a3 , 4 j is the mid-point of the line segment joining, the points Q ^- 6, 5h and R ^- 2, 3h , then the value of, a is, (a) - 4, (b) - 12, , 36. If the point C (k, 4) divides the line segment joining, two points A (2, 6) and B (5, 1) in ratio 2 : 3, the, value of k is ......... ., (a) 165, (b), (c), , 16, 5, 9, 5, 5, 9, , (c) 12, , (d), , (d) - 6, , Sol : www.cbse.site/ma/gm136, , Sol : www.cbse.site/ma/gm132, Sol :, 33. The perpendicular bisector of the line segment joining, , 37. If points A (- 3, 12), B (7, 6) and C (x, 9) are collinear,, then the value of x is ......... ., (a) 2
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 100, , Coordinate Geometry, , (b) 3, , (c) isosceles triangle, , (c) 4, , (d) right angled isosceles triangle, , (d) 5, , Sol : www.cbse.site/ma/gm142, , Chap 5, , Sol : www.cbse.site/ma/gm137, 38. The co-ordinate of the point dividing the line segment, joining the points A (1, 3) and B (4, 6) in the ratio, 2 : 1 is ......... ., (a) (5, 3), , 43. If A ^5, 2h , B ^2, - 2h and C ^- 2, t h are the vertices, of a right angled triangle with +B = 90º , then the, value of t will be, (a) 1, (b) 2, , (b) (3, 5), , (c) 3, , (c) (4, 6), , (d) 4, , (d) (6, 4), , Sol : www.cbse.site/ma/gm143, , Sol : www.cbse.site/ma/gm138, 39. The distance of a point P (x, y) from the origin is, (a) x2 - xy + y2, (b), , x2 + xy + y2, , (c), , x2 + y2, , (d), , x2 + 3xy + y2, , Sol : www.cbse.site/ma/gm139, 40. If the mid-point of the line segment joining the points, A (3, 4) and B (k, 6) is P (x, y) and x + y - 10 = 0 , the, value of k will be, (a) 4, (b) 5, (c) 6, (d) 7, Sol : www.cbse.site/ma/gm140, 41. If the point P ^x, y h is equidistant from the points, Q ^a + b, b - a h and R ^a - b, a + b h then,, (a) 2ay = xy, (b) bx = ay, (c) ab = xy, (d) by = ax, Sol : www.cbse.site/ma/gm141, 42. The points ^3, 0h , ^6, 4h and ^- 1, 3h are the vertices, of a, (a) equilateral triangle, (b) scalene triangle, , 44. What is the ratio in which the point P ^ 34 , 125 h divides, the line segment joining the point A ^ 12 , 32 h and, ^2, - 5h ., (a) 4 : 7, (b) 3 : 7, (c) 1 : 5, (d) 2 : 5, Sol : www.cbse.site/ma/gm144, 45. The points A ^4, 7h , B ^p, 3h and C ^7, 3h are the, vertices of a right triangle, right-angled at B . The, value of p will be, (a) 7, (b) 5, (c) 6, (d) 3, Sol : www.cbse.site/ma/gm145, 46. The points ^a, a h , ^- a, - a h and `- 3 a,, the vertices of_____, (a) equilateral triangle, , 3 a j are, , (b) scalene triangle, (c) isosceles triangle, (d) right angled isosceles triangle, Sol : www.cbse.site/ma/gm146, 47. If A ^4, 3h , B ^- 1, y h , and C ^3, 4h are the vertices of a, right triangle ABC, right angled at A, then the value, of y will be, (a) –8
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 5, , Coordinate Geometry, , Page 101, , (b) –6, , (d) rectangle, , (c) –2, , Sol : www.cbse.site/ma/gm152, , (d) –4, Sol : www.cbse.site/ma/gm147, 48. If the mid-point of the line segment joining A 8 x2 , y +2 1B, and B ^x + 1, y - 3h is C ^5, - 2h , value of y is, (a) –1, (b) –2, , 53. If ^3, 2h and ^- 3, 2h are two vertices of an equilateral, triangle which contains the origin, the third vertex, will be, (a) `1, 2 - 3 j, (b) `2, 1 - 3 3 j, (c) `0, 2 - 3 3 j, , (c) –3, , (d) `1, 2 -, , (d) –4, , Sol : www.cbse.site/ma/gm153, , 3j, , Sol : www.cbse.site/ma/gm148, 49. Which of the following the point on the x-axis which, is equidistant from the points ^2, - 5h and ^- 2, 9h ?, (a) (- 7, 0), , 54. What is the co-ordinates of the point where the line, 2x - 3y - 5 = 0 cuts the x-axis ?, (a) ^0, 32 h, (b) ^ 32 , 0h, , (c) (0, 7), , (c) ^ 52 , 0h, (d) ^0, 52 h, , (d) (- 7, 0), , Sol : www.cbse.site/ma/gm154, , (b) (7, 0), , Sol : www.cbse.site/ma/gm149, 50. Points A ^6, 4h, B ^5, - 2h and C ^7, - 2h are the, vertices of ____, (a) equilateral triangle, , 55. If the vertices of TABC are A ^5, - 1h, B ^- 3, - 2h,, C ^- 1, 8h, the length of median through A will be, (a) 65, (b), , 55, , (b) scalene triangle, , (c), , 45, , (c) isosceles triangle, , (d), , 35, , (d) right angled isosceles triangle, , Sol : www.cbse.site/ma/gm155, , Sol : www.cbse.site/ma/gm150, 51. If P ^2, - 1h, Q ^3, 4h, R ^- 2, 3h and S ^- 3, - 2h be, four points in a plane, then PQRS is a ____, (a) rhombus, , 56. Select the mid-point of side BC of TABC, with, A ^1, - 4h and the mid-points of the sides through A, being ^2, - 1h and ^0, - 1h ., (a) (2, 4), , (b) square, , (b) (4, 2), , (c) parallelogram, , (c) (2, 1), , (d) rectangle, , (d) (1, 2), , Sol : www.cbse.site/ma/gm151, , Sol : www.cbse.site/ma/gm156, , 52. If A ^- 1, 0h, B ^3, 1h, C ^2, 2h and D ^- 2, 1h to be four, point in plane then ABCD is a _____, (a) rhombus, (b) square, (c) parallelogram, , 57. A line intersects the y-axis and x-axis at the points, P and Q respectively. If ^2, - 5h is the mid-point of, PQ, then the coordinates of P and Q will be, (a) (0, - 10) and ^4, 0h, (b) ^4, 0h and (10, 0)
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 102, , Coordinate Geometry, , (c) (12, 0) and ^- 4, 0h, (d) (0, 12) and ^- 4, 0h, , (b), , Sol : www.cbse.site/ma/gm157, , (d), , (c), , Chap 5, , 1, 3, 3, 2, 1, 3, , Sol : www.cbse.site/ma/gm162, 58. If two adjacent vertices of a parallelogram are ^3, 2h, and ^- 1, 0h and the diagonals intersect at ^2, - 5h, then find the co-ordinates of the other two vertices., (a) (- 14, 4) and D ^- 10, 5h, (b) (4, - 14) and D ^5, - 10h, (c) (1, - 12) and D ^5, - 10h, , 63. What are the co-ordinate of a point P on the, line segment joining A ^1, 2h and B ^6, 7h such that, AP = 25 AB ?, (a) (3, 4), (b) (4, 3), , (d) (- 12, 1) and D ^- 10, 5h, , (c) (5, 4), , Sol : www.cbse.site/ma/gm158, , (d) (4, 5), Sol : www.cbse.site/ma/gm163, , 59. In what ratio does the point P ^- 4, 6h divides the line, segment joining the points A ^- 6, 10h and B ^3, - 8h ?, (a) 7 : 8, (b) 7 : 2, , 64. If the distance of P ^x, y h from A ^6, 2h and B ^- 2, 6h, are equal, then, (a) x = 2y, , (c) 2 : 8, , (b) y = 2x, , (d) 2 : 7, , (c) y = 3x, , Sol : www.cbse.site/ma/gm159, , (d) x = 3y, Sol : www.cbse.site/ma/gm164, , 60. If the line segment joining the points A ^2, 1h and, B ^5, - 8h is trisected at the points P and Q , the, coordinates P will be, (a) (- 2, 3), (b) (3, - 2), , 65. The co-ordinates of the vertices of TABC are, A ^7, 2h, B ^9, 10h and C ^1, 4h . If E and F are the, mid-points of AB and AC respectively, then,, (a) EF = 13 BC, , (c) (6, 3), , (b) EF = 12 BC, , (d) (- 3, 6), , (c) EF = BC, , Sol : www.cbse.site/ma/gm160, , (d) EF = 2BC, Sol : www.cbse.site/ma/gm165, , 61. If the co-ordinates of points A and B are ^- 2, - 2h, and ^2, - 4h respectively, what are the co-ordinates, of P such that AP = 73 AB, where P lies on the line, segment AB ?, (a) _ -72 , -720 i, (b) _ 72 , 207 i, (c) _ -720 , -72 i, (d) _ 207 , 72 i, , Sol : www.cbse.site/ma/gm161, 62. What is the value of a so that ^3, a h lies on the line, represented by 2x - 3y - 5 = 0 ?, (a) 52, , 66. The, diagonals, of, with, vertices, ABCD,, A ^2, - 1h, B ^5, - 1h, C ^5, 6h and D ^2, 6h are ____, equal and bisect each other., (a) equal, doest bisect, (b) equal, bisect, (c) not equal, bisect, (d) not equal, not bisect, Sol : www.cbse.site/ma/gm166, 67. What is the ratio in which ^11, 15h divides the line, segment joining the points ^15, 5h and ^9, 20h ., (a) 1 : 3
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 5, , Coordinate Geometry, , (b) 2 : 3, , (d) 6, , (c) 2 : 1, , Sol : www.cbse.site/ma/gm171, , (d) 1 : 2, Sol : www.cbse.site/ma/gm167, 68. Which of the following point on y-axis is equidistant, from the points ^5, - 2h and ^- 3, 2h ?, (a) (0, 3), , 73. What are the co-ordinates of the points of trisection, of the line segment joining the points A ^1, - 2h and, B ^- 3, 4h ?, (a) _2, -25 i, (b) _ -25 , 2i, , (c) (0, - 3), , (c) _2, 52 i, (d) _ 52 , 2i, , (d) (0, - 2), , Sol : www.cbse.site/ma/gm172, , (b) (0, 2), , Page 103, , Sol : www.cbse.site/ma/gm168, 69. The point ^- 3, p h divides the line segment joining, the points ^- 5, - 4h and ^- 2, 3h . The value of p is, (a) 23, (b), (c), (d), , 1, 3, 5, 6, 6, 5, , (d) 22, , 70. What is the ratio in which the point p ^m, 6h divides, the line segment joining the points A ^- 4, 3h and, B ^2, 8h ., (a) 2 : 3, (b) 3 : 2, (c) 3 : 1, (d) 1 : 3, Sol : www.cbse.site/ma/gm170, 71. What is the value of m in previous question ?, (a) 23, 1, 3, , (c) (d) -, , 2, 5, 6, 5, , Sol : www.cbse.site/ma/gm170, , 72. vertices of a parallelogram ABCD , the value of y, will be, (a) 3, (b) 4, (c) 5, , (b) 20, (c) 24, , Sol : www.cbse.site/ma/gm169, , (b), , 74. If ^a, b h is the mid-point of the segment joining the, points A ^10, - 6h and B ^k, 4h and a - 2b = 18, the, value of k will be, (a) 28, , Sol : www.cbse.site/ma/gm173, 75. What is the distance AB in previous question ?, (a) 51 2, (b) 2 61, (c) 61 2, (d) 2 51, Sol : www.cbse.site/ma/gm173, 76. What is the ratio in which the line 2x + 3y - 5 = 0, divides the line segment joining the points ^8, - 9h, and ^2, 1h ?, (a) 8 : 1, (b) 7 : 6, (c) 7 : 2, (d) 2 : 5, Sol : www.cbse.site/ma/gm174, 77. In previous question what are co-ordinates of the, point of division?, (a) `- 49 , 83 j, (b) ` 83 , - 49 j, (c) ` 83 , - 19 j
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 104, , Coordinate Geometry, , (d) `- 19 , 83 j, Sol : www.cbse.site/ma/gm174, , (c) ` 52 ,, (d) ` 72 ,, , Chap 5, 1, 2, 1, 2, , 3j, 3j, , Sol : www.cbse.site/ma/gm177, 78. What is the ratio in which the line joining points, ^a + b, b + a h and ^a - b, b - a h is divided by the, point ^a, b h ?, (a) 1 : 1, (b) 2 : 1, (c) 2 : 3, (d) 1 : 3, Sol : www.cbse.site/ma/gm175, , 82. What are the co-ordinates of the points of trisection, of the line segment joining the points ^3, - 2h and, ^- 3, - 4h ., (a) ^1, - 83 h and ^- 1, - 103 h, (b) ^- 83 , 1,h and ^- 1, - 103 h, (c) ^- 83 , 1,h and ^- 103 , - 1h, (d) ^1, - 83 h and ^- 103 , - 1h, , Sol : www.cbse.site/ma/gm178, 79. In what ratio does the point ^ 24, 11 , y h divides the line, segment joining the points P ^2, - 2h and Q ^3, 7h ?, Also find the value of y., (a) 2 : 9, (b) 2 : 7, (c) 7 : 5, (d) 6 : 5, Sol : www.cbse.site/ma/gm176, 80. In previous question what is the value of y ?, (a) 65, (b), , Direction For Question : (84-85), To conduct Sports Day activities, in your rectangular, school ground ABCD , lines have been drawn with, chalk powder at a distance of 1 m each. 100 flower, pots have been placed at a distance of 1 m from each, other along AD , as shown in Figure. Niharika runs, ¼th the distance AD on the 2nd line and posts a, green flag. Preet runs 15 th distance AD on the eighth, line and posts a red flag., , 11, 4, , (c) - 114, (d) - 65, Sol : www.cbse.site/ma/gm176, 81. In the given figure TABC is an equilateral triangle, of side 3 units. The co-ordinates of the point C will, be, , 83. What is the distance between the two flags?, (a) 61 m, (a) ` 72 ,, (b) ` 52 ,, , 3, 2, 3, 2, , 3j, 3j, , (b), , 125 m, , (c), , 42 m, , (d), , 142 m
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 5, , Coordinate Geometry, , Sol : www.cbse.site/ma/gm180, 84. If Rashmi has to post a blue flag exactly half way, between the line segment joining the two flags, where, should she post the blue flag?, (a) in the fifth line, at a distance of 452 i.e., 22.5 m, along the direction parallel to AD, (b) in the fourth line, at a distance of, along the direction parallel to AD, , 45, 2, , i.e., 22.5 m, , (c) in the fourth line, at a distance of 45 m along the, direction parallel to AD, (d) in the fifth line, at a distance of 45 m along the, direction parallel to AD, Sol : www.cbse.site/ma/gm180, , Direction For Question : (86-87), Two friends Seema and Aditya work in the same office, at Delhi. In the Christmas vacations, both decided, to go to their hometown represented by Town A and, Town B respectively in the figure given below. Town, A and Town B are connected by trains from the, same station C (in the given figure) in Delhi. Based, on the given situation answer the following questions:, , Page 105, , 86. Seema and Aditya planned to meet at a location D, situated at a point D represented by the mid-point, of the line joining the points represented by Town A, and Town B . What are the coordinates of the point, represented by the point D ?, (a) ` 94 , 92 j, (b) ` 54 ,, (c) ` ,, 5, 2, , (d) ` 92 ,, , 9, 4, 9, 2, 5, 2, , j, , j, j, , Sol : www.cbse.site/ma/gm181, 87. In a classroom, 4 friends are seated at the points A, , B , C , and D as shown in Figure. Champa and, Chameli walk into the class and after observing for, a few minutes Champa asks Chameli, Don’t you, think ABCD is a rhombus ? Chameli disagrees. Why, Chameli disagree ?, , (a) because this is square, (b) because this is rectangle, (c) because this is parallelogram, (d) because this is quadrilateral, 85. Who will travel more distance, Seema or Aditya, to, reach to their hometown?, (a) Distance travelled by Aditya is 68 units and, Aditya travels more distance., (a) Distance travelled by Seema is, Seema travels more distance., , 68 units and, , (a) Distance travelled by Seema is, Seema travels more distance., , 78 units and, , (a) Distance travelled by Aditya is, Aditya travels more distance., , 78 units and, , Sol : www.cbse.site/ma/gm181, , Sol : www.cbse.site/ma/gm182, 88. What is the ratio in which the line x - 3y = 0 divides, the line segment joining the points ^- 2, - 5h and, ^6, 3h . ., (a) 13 : 3, (b) 13 : 7, (c) 7 : 3, (d) 7 : 6, Sol : www.cbse.site/ma/gm183
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 106, , Coordinate Geometry, , 89. In previous question what are the coordinates of the, point of intersection ?, (a) ` 94 , 92 j, (b) ` ,, 5, 4, , 3, 4, , 5, 2, , 9, 2, , 9, 2, , 3, 2, , (c) ` ,, (d) ` ,, , j, , Chap 5, , 94. In previous question, the lengths of its sides will be, (a) 10 , 10, (b) 2 12 ,, , 12, , (c) 2 12 , 2 12, , j, , (d), , j, , 12 ,, , 12, , Sol : www.cbse.site/ma/gm186, , Sol : www.cbse.site/ma/gm183, 90. Point A lies on the line segment XY joining X ^6, - 6h, XA, and Y ^- 4, - 1h in such a way that XY, = 25 . If point, A also lies on the line 3x + k ^y + 1h = 0 , the value, of k is, (a) 2, (b) 3, , 95. If P ^9a - 2, - b h divides the line segment joining, A ^3a + 1, - 3h and B ^8a, 5h in the ratio 3: 1, the, values of a and b are, (a) 1, –3, (b) 1, 2, (c) 2, 3, (d) 3, 4, , (c) 4, , Sol : www.cbse.site/ma/gm187, , (d) 5, Sol : www.cbse.site/ma/gm184, 91. What is the ratio in which the y -axis divides the line, segment joining the points ^- 1, - 4h and ^5, - 6h ?, (a) 1 : 2, , 96. Two point divide the line segment joining A ^2, - 3h, and B ^- 4, - 6h into three equal parts. The, coordinates of points are, (a) (3, 4) and ^2, - 5h, (b) (0, - 4) and ^- 2, - 5h, , (c) 1 : 5, , (c) (0, - 3) and ^- 2, 5h, (d) (4, 3) and ^2, 5h, , (d) 1 : 4, , Sol : www.cbse.site/ma/gm188, , (b) 1 : 3, , Sol : www.cbse.site/ma/gm185, 92. In previous question, what are the coordinates of the, point of intersection?, (a) `0, - 49 j, (b) `0, - 133 j, , (c) `0, - 19 j, (d) `- 19 ,, , 8, 3, , j, , Sol : www.cbse.site/ma/gm185, , 97. The base BC of an equilateral triangle ABC lies on, y -axis. The co-ordinates of point C are ^0, 3h . The, origin is the mid-point of the base. What are the co-., Also find the co-ordinates of another point D such, that BACD is a rhombus., (a) _ 3 , 0i, (b) _2 3 , 0i, (c) _3 3 , 0i, (d) _4 3 , 0i, Sol : www.cbse.site/ma/gm189, , 93. If A (- 2, 1), B (a, 0), C (4, b) and D (1, 2) are the, vertices of a parallelogram ABCD , the values of a, and b are, (a) 1, 1, (b) 1, 3, (c) 3, 2, (d) 2, 4, Sol : www.cbse.site/ma/gm186, , 98. In previous question what are the co-ordinates of, another point D such that BACD is a rhombus ?, (a) _ 3 , 0i, (b) - `2 3 , 0j, , (c) `- 3 3 , 0j, (d) _4 3 , 0i, , Sol : www.cbse.site/ma/gm189
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 5, , Coordinate Geometry, , 99. The base QR of an equilateral triangle PQR lies, on x-axis. The co-ordinates of point Q are ^- 4, 0h, and the origin is the mid-point of the base. The coordinates of the point P will be, (a) _0, 3 3 i, (b) _0,, , 3i, , (c) _0, 2 3 i, (d) _0, 4 3 i, Sol : www.cbse.site/ma/gm190, 100. The vertices of quadrilateral ABCD are A ^5, - 1h,, B ^8, 3h, C ^4, 0h and D ^1, - 4h . Shape ABCD is, a___, (a) square, (b) rectangle, (c) rhombus, , Page 107, , Sol : www.cbse.site/ma/gm193, 104. What is the ratio in which the straight line, x - y - 2 = 0 divides the line segment joining ^3, - 1h, and ^8, 9h ?, (a) 5 : 6, (b) 4 : 5, (c) 3 : 4, (d) 2 : 3, Sol : www.cbse.site/ma/gm194, 105. The line segment joining the points A ^3, 2h and, B ^5, 1h is divided at the point P in the ratio 1: 2 and, P lies on the line 3x - 18y + k = 0 . The value of k, will be, (a) 21, , (d) parallelogram, , (b) 20, , Sol : www.cbse.site/ma/gm191, , (c) 19, (d) 22, , 101. The co-ordinates of vertices of TABC are A ^0, 0h,, B ^0, 2h and C ^2, 0h . The triangle TABC is ____, traingle., (a) isosceles, (b) equilateral, (c) isosceles right, , Sol : www.cbse.site/ma/gm195, 106. If R ^x, y h is a point on the line segment joining the, points P ^a, b h and Q ^b, a h, then which of the following, is correct ?, (a) x + y = ab, , (d) scalene, , (b) x + y = a + b, , Sol : www.cbse.site/ma/gm192, , (c) x + a = y + b, (d) x + b = y + a, , 102. What is the ratio is which the line segment joining, the points A ^3, - 3h and B ^- 2, 7h is divided by, x-axis., (a) 3 : 7, (b) 4 : 7, (c) 5 : 6, (d) 4 : 6, Sol : www.cbse.site/ma/gm193, , Sol : www.cbse.site/ma/gm196, 107. In what ratio does ^- 4, 6h divides the line segment, joining the point A ^- 6, 4h and B ^3, - 8h, (a) 2 : 7, (b) 6 : 7, (c) 5 : 3, (d) 2 : 5, Sol : www.cbse.site/ma/gm197, , 103. In previous question what are the co-ordinates of the, point of division ?, (a) ` 52 , 0j, (b) ` 54 , 0j, (c) ` 52 , 0j, , (d) ` 32 , 0j, , 108. Point ^1, - 1h, ^0, 4h and ^- 5, 3h are vertices of a, triangle. This triangle is a ________triangle., (a) isosceles, (b) equilateral, (c) isosceles right
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 108, , Coordinate Geometry, , Chap 5, , (d) scalene, Sol : www.cbse.site/ma/gm198, 109. In previous question what is the length of its median, joining the vertex ^1, - 1h the mid-point of the, opposite side ?, (a) 110, 4, (b), , 130, 4, , (c), , 130, 2, , (d), , 110, 2, , Sol : www.cbse.site/ma/gm198, 110. Point ^- 1, y h and B ^5, 7h lie on a circle with centre, O ^2, - 3y h . What is the radius of the circle?, (a) 5, (b) 2, (c) 3, (d) 4, Sol : www.cbse.site/ma/gm199, , On the basis of the above information, answer any, four of the following questions:, 111. What is the position of the pole C ?, (a) (4 ,5), (b) (5, 4), (c) (6, 5), (d) (5, 6), Sol : www.cbse.site/ma/gm200, , COMPETENCEY BASED QUESTIONS, Direction For Question : (112-116), Resident Welfare Association (RWA) of a Gulmohar, Society in Delhi have installed three electric poles A,, B and C in a society’s common park. Despite these, three poles, some parts of the park are still in dark., So, RWA decides to have one more electric pole D, in the park., , 112. What is the distance of the pole B from the corner, O of the park ?, (a) 6 2 units, (b) 3 2 units, (c) 6 3 units, (d) 3 3 units, Sol : www.cbse.site/ma/gm200, 113. Find the position of the fourth pole D so that four, points A, B C and D form a parallelogram ., (a) (5, 2), (b) (1, 5), (c) (1, 4), (d) (2, 5), Sol : www.cbse.site/ma/gm200, , The park can be modelled as a coordinate systems, given below., , 114. What is the distance between poles A and C ?, (a) 6 2 units, (b) 3 2 units, (c) 6 3 units
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 5, , Coordinate Geometry, , (d) 3 3 units, Sol : www.cbse.site/ma/gm200, , Page 109, , 117. What is the distance of point A from origin ?, (a) 8, (b) 2 2, (c) 4, , 115. What is the distance between poles B and D ?, (a) 2 3 units, (b), , 28 units, , (d) 4 2, Sol : www.cbse.site/ma/gm201, , (c) 6 3 units, (d), , 26 units, , Sol : www.cbse.site/ma/gm200, , 118. What is the distance between A and B ?, (a) 3 19, (b) 3 5, (c), , 17, , (d) 2 5, Direction For Question : (117-121), Ajay, Bhigu and Colin are fast friend since childhood., They always want to sit in a row in the classroom ., But teacher doesn’t allow them and rotate the seats, row-wise everyday. Bhigu is very good in maths and, he does distance calculation everyday. He consider, the centre of class as origin and marks their position, on a paper in a co-ordinate system. One day Bhigu, make the following diagram of their seating position., , Sol : www.cbse.site/ma/gm201, 119. What is the distance between B and C ?, (a) 3 19, (b) 3 5, (c) 2 17, (d) 2 5, Sol : www.cbse.site/ma/gm201, 120. A point D lies on the line segment between points, A and B such that AD : DB = 4 : 3 . What are the, the coordinates of point D ?, (a) _ 107 , 72 i, (b) _ 72 , 77 i, (c) _- 107 , - 72 i, (d) _- 72 , - 77 i, , Sol : www.cbse.site/ma/gm201, , 116. What are the coordinates of point A?, (a) (2, 2), (b) (2, - 2), (c) (- 2, 2), (d) (- 2, - 2), Sol : www.cbse.site/ma/gm201, , Direction For Question : (122-125), Morning assembly is an integral part of the school’s, schedule. Almost all the schools conduct morning, assemblies which include prayers, information of latest, happenings, inspiring thoughts, speech, national, anthem, etc. A good school is always particular, about their morning assembly schedule. Morning, assembly is important for a child’s development. It, is essential to understand that morning assembly is, not just about standing in long queues and singing, prayers or national anthem, but it’s something, beyond just prayers. All the activities carried out in, morning assembly by the school staff and students
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 110, , Coordinate Geometry, , have a great influence in every point of life. The, positive effects of attending school assemblies can be, felt throughout life., , Chap 5, , (d) 2 3, Sol : www.cbse.site/ma/gm202, 123. What is the distance between A and C ?, (a) 8, (b) 6, (c) 3 3, (d) 2 3, Sol : www.cbse.site/ma/gm202, 124. What is the distance between D and B ?, (a) 8, , Have you noticed that in school assembly you always, stand in row and column and this make a coordinate, system. Suppose a school have 100 students and they, all assemble in prayer in 10 rows as given below., , (b) 6, (c) 3 3, (d) 2 3, Sol : www.cbse.site/ma/gm202, , Direction For Question : (126-130), To conduct sports day activities, in a rectangular, shaped school ground ABCD , lines have been drawn, with chalk powder at a distance of 1 m each. 100, flower pots have been placed at a distance of 1 m, from each other along AB , as shown in figure., Nishtha runs 14 th the distance AB on the 2nd line, and posts a green flag. Suman runs 15 th the distance, AB on the 8th line and posts a red flag., , Here A, B, C and D are four friend Amar, Bharat,, Colin and Dravid., 121. What is the distance between A and B ?, (a) 8, (b) 6, (c) 3 3, (d) 2 3, Sol : www.cbse.site/ma/gm202, 122. What is the distance between C and D ?, (a) 8, (b) 6, (c) 3 3
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 5, , Coordinate Geometry, , 125. What is the position of green flag ?, (a) (2, 25), (b) (25, 4), , Page 111, , operations outside city limits into neighbouring, urban areas. In addition to buses, it also operates a, ferry service in the northern reaches of the city., , (c) (25, 2), (d) (4, 25), Sol : www.cbse.site/ma/gm203, 126. What is the position of red flag ?, (a) (20, 4), (b) (8, 20), (c) (20, 8), (d) (4, 20), Sol : www.cbse.site/ma/gm203, 127. What is the distance between both the flags?, (a) 51, (b) 3 3, (c), , 61, , (d) 2 3, Sol : www.cbse.site/ma/gm203, 128. What is the distance of red flag from point A ?, (a) 4 29, (b) 2 29, (c) 8 15, (d) 16 3, Sol : www.cbse.site/ma/gm203, 129. If Rakhi has to post a blue flag exactly halfway, between the line segment joining the two flags, where, should she post her flag?, (a) (20, 4), (b) (22.5, 5), (c) (4, 20), (d) (5, 22.5), Sol : www.cbse.site/ma/gm203, 130. The Brihanmumbai Electricity Supply and Transport, (BEST) is a civic transport and electricity provider, public body based in Mumbai. BEST operates one, of India’s largest fleets of buses. The bus transport, service covers the entire city and also extends its, , There are two routes to travel from source A to, destination B by using BEST bus service. First bus, reaches at B via point C and second bus reaches, from A to B directly. If coordinates of A, B and C, are (- 2, - 3), (2, 3) and (3, 2) respectively, then by, which bus do you want to travel from A to B using, BEST services. (Assume that both buses have same, speed)., Sol :, (a) by second bus because distance travel by it is, 2 13 which is lesser than distance travel by first, bus., (b) by second bus because distance travel by it is, 6 2 which is lesser than distance travel by first, bus., (c) by first bus because distance travel by it is 6 2, which is lesser than distance travel by second, bus., (d) by first bus because distance travel by it is 2 13, which is lesser than distance travel by second, bus., Sol : www.cbse.site/ma/gm204, , Direction For Question : (132-136), A garden is in the shape of rectangle. Gardener grew, sapling of Ashoka tree on the boundary of garden, at the distance of 1 meter from each other. He want, to decorate the garden with rose plants. He choose, triangular region inside the park to grow rose plants., On the above situation, gardener took help from, the students of class 10th. They made a chart for it, which looks as the above figure.
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 112, , Coordinate Geometry, (b), , 17, , (c), , 65, , (d), , 50, , Chap 5, , Sol : www.cbse.site/ma/gm205, 135. What is distance between P and Q if origin is taken, B?, (a) 50, (b), , 71, , (c), , 17, , (d), , 61, , Sol : www.cbse.site/ma/gm205, , 131. If A is taken as origin, what are the coordinates of, triangle PQR ?, (a) P (4, 6), Q (3, 2), R (6, 5), (b) P (6, 4), Q (2, 3), R (5, 6), (c) P (5, 7), Q (3, 3), R (5, 5), (d) P (6, 6), Q (2, 3), R (6, 6), Sol : www.cbse.site/ma/gm205, , 136. Old Age Home : An old age homes is a place where, old people live and are cared for when they are too, old to look after themselves. With advancing age,, people often lose motor functions. Performing day to, day activities becomes a daunting task. In an old age, home, the association helps with daily activities. One, of the factors that make old age homes attractive to, elders is the companionship. The steady security in, an old age home gives them protection from intruders, and helps them live a safe and secure life., , 132. If C is taken as origin, what is the co-ordinate of, point P ?, (a) (- 12, 2), (b) (12, 2), (c) (6, - 4), (d) (- 6, - 4), Sol : www.cbse.site/ma/gm205, 133. If B is taken as origin, what are the co-ordinate of, P ?, (a) (4, 4), (b) (- 4, 4), (c) (4, - 4), (d) (- 4, - 4), Sol : www.cbse.site/ma/gm205, 134. What is distance between P and Q if origin is taken, A?, (a) 71, , A school decides to take the students for school picnic, to an amusement park. However, the students have, to first visit an old age home and then move towards, the park. If the point S , P and H represent the, school, the park and the old age home respectively,, find the additional distance covered by the students, had they travelled directly from school to the park?, (Note : All distance are in km)
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 5, , Coordinate Geometry, , Page 113, , reaches to a grocery store, If he goes 4 cm west and, 6 cm south from the house, then he reaches to his, office. If he goes 6 cm east and 8 cm south from the, house, then he reaches to a food court. If he goes 6, cm west and 8 cm north from the house, he reaches, to a his kid’s school., Based on the above information, answer the following, questions., 137. What is the distance between grocery store and food, court?, (a) 137 cm, (b), , 129 cm, , (c) 8 15 cm, (d) 16 3 cm, (a) 2 km, (b) 4 km, (c) 6 km, (d) 8 km, Sol : www.cbse.site/ma/gm206, , Sol : www.cbse.site/ma/gm207, 138. What is the distance of the school from the house?, (a) 10 cm, (b) 15 cm, (c) 20 cm, (d) 25 cm, , Direction For Question : (138-142), Satellite Images : Satellite images are images of, Earth collected by imaging satellites operated by, governments and businesses around the world., Satellite imaging companies sell images by licensing, them to governments and businesses such as Apple, Maps and Google Maps. It should not be confused, for astronomy images collected by space telescope., , Sol : www.cbse.site/ma/gm207, 139. If the grocery store and office lie on a line, what is, the ratio of distance of house from grocery store to, that from office ?, (a) 2 :1, (b) 3 : 1, (c) 4 : 1, (d) 5 : 1, Sol : www.cbse.site/ma/gm207, 140. What is the ratio of distances of house from school, to food court., (a) 1 :1, (b) 2 : 1, (c) 3 : 1, (d) 4 : 1, , Barun lives in Jaipur in Vaishali. Satellite image of, his colony is shown in given figure. In this view, his, house is pointed out by a flag, which is situated at, the point of intersection of x and y - axes. If he goes, 2 cm east and 3 cm north from the house, then he, , Sol : www.cbse.site/ma/gm207, 141. What shape is formed by the coordinates of positions, of school, grocery store, food court and office?, (a) square
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 114, , Coordinate Geometry, , (b) rectangle, (c) rhombus, (d) quadrilateral, Sol : www.cbse.site/ma/gm207, , Chap 5, , 144. What is the distance between S ^- 10, 5h and, R ^- 7, - 4h ?, (a) 4 15, (b) 3 10, (c) 8 15, (d) 16 3, , Direction For Question : (143-146), Birla Science Museum is the first Science and, Technology Museum of the country, established, in 1954. It houses exhibits and displays on science, and technology where visitors can interact with the, exhibits to make the understanding of science and, technology easy and entertaining., , Sol : www.cbse.site/ma/gm208, 145. Which star is farthest from the center of the room?, (a) S ^- 10, 5h, (b) T ^3, - 8h, , (c) R ^- 7, - 4h, (d) All are at same distance, Sol : www.cbse.site/ma/gm208, , Birla Science Museum has set aside a children’s, room having planets and stars painted on the ceiling., Suppose an imaginary coordinate system is placed, on the ceiling in the room with the centre of the, ceiling at (0, 0,). Three particular stars are located, at S ^- 10, 5h , T ^3, - 8h and R ^- 7, - 4h , where the, coordinates represent the distance in feet from the, center of the room., 142. What is the distance between S ^- 10, 5h and T ^3, - 8h, ?, (a) 4 29, (b) 2 29, (c) 13 2, (d) 16 3, Sol : www.cbse.site/ma/gm208, 143. What is the distance between R ^- 7, - 4h and, T ^3, - 8h ?, (a) 4 29, (b) 2 29, (c) 8 15, (d) 16 3, Sol : www.cbse.site/ma/gm208
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 5, , Coordinate Geometry, , SELF TEST QUESTIONS, 146. What is the coordinates of a point P on x -axis which, is equidistant from the points A ^- 2, 0h and B ^6, 0h ., (a) (1, 0), , 151. If the centre and radius of circle is ^3, 4h and 7 units, respectively,, then what it the position of the point, A ^5, 8h with respect to circle?, (a) inside, (b) outside, , (b) (2, 0), , (c) on circle, , (c) (3, 0), , (d) can’t say, , (d) (4, 0), , Page 115, , Sol : www.cbse.site/ma/gm252, , Sol : www.cbse.site/ma/gm247, 147. Select the coordinates of a point A, where AB is, diameter of a circle whose centre is (2, - 3) and B is, the point (1, 4)., (a) (- 10, 3), (b) (3, - 10), (c) (- 3, 10), (d) (3, 10), Sol : www.cbse.site/ma/gm248, 148. Select the value of a, for which point P ^ a3 , 2h is the, midpoint of the line segment joining the Points, Q ^- 5, 4h and R ^- 1, 0h ., (a) –9, (b) 9, (c) 8, (d) –8, Sol : www.cbse.site/ma/gm249, 149. The ordinate of a point A on y-axis is 5 and B has, co-ordinates ^- 3, 1h . The length of AB will be, (a) 4, (b) 5, (c) 6, (d) 7, Sol : www.cbse.site/ma/gm250, 150. The perpendicular distance of A ^5, 12h from the, y-axis will be, (a) 6, (b) 3, (c) 4, (d) 5, Sol : www.cbse.site/ma/gm251, , 152. Select the perimeter of a triangle with vertices ^0, 4h,, ^0, 0h and ^3, 0h ., (a) 16, (b) 4, (c) 8, (d) 12, Sol : www.cbse.site/ma/gm253, 153. Locate a point Q on line segment AB such that, BQ = 75 # AB . What is the ratio of line segment in, which AB is divided?, (a) 2 : 5, (b) 6 : 7, (c) 2 : 7, (d) 7 : 2, Sol : www.cbse.site/ma/gm254, 154. What is the distance of the point ^- 4, - 7h from the, y-axis ?, (a) 6, (b) 4, (c) 8, (d) 2, Sol : www.cbse.site/ma/gm255, 155. If the distance between the points ^4, k h and ^1, 0h is, 5, then what can be the possible values of k ?, (a) 4, (b) 6, (c) 2, (d) 8, Sol : www.cbse.site/ma/gm256
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 116, , Coordinate Geometry, , 156. Select the coordinates of the point on y-axis which is, nearest to the point ^- 2, 5h ., (a) (0, 2), (b) (0, 5), (c) (0, 4), (d) (0, - 2), Sol : www.cbse.site/ma/gm257, , Chap 5, , Direction For Question : (162-163), y -axis divides the line segment joining the points, A ^5, - 6h and B ^- 1, - 4h ., 161. What is the ratio in which y -axis divides the line, segment ?, (a) 6 : 1, (b) 6 : 5, (c) 5 : 1, , 157.In what ratio does the x -axis divide the line segment, joining the points ^- 4, - 6h and ^- 1, 7h ?, , (d) 5 : 2, Sol : www.cbse.site/ma/gm262, , (a) 6 : 7, (b) 6 : 5, (c) 5 : 6, (d) 5 : 7, Sol : www.cbse.site/ma/gm258, 158. AB is diameter of the circle whose centre is ^2, - 3h, and B is the point ^3, 4h . The coordinates of a point, A will be, (a) (10, - 1), (b) (- 1, 10), (c) (1, - 10), (d) (- 10, 1), Sol : www.cbse.site/ma/gm259, 159. Point P ^x, y h is equidistant from the points A ^- 5, 3h, and B ^7, 2h . What is the relation between x and y ?, (a) 12x + 12y - 17 = 0, (b) 24x + 2y - 19 = 0, (c) 24x - 2y - 19 = 0, (d) 12x - 12y + 17 = 0, Sol : www.cbse.site/ma/gm260, 160. The x -coordinate of a point P is twice its, y-coordinate. If P is equidistant from Q ^2, - 5h and, R ^- 3, 6h , the co-ordinates of P will be, (a) (4, 8), (b) (16, 8), , 162. What are the co-ordinates of the point of division?, (a) _0, -313 i, (b) _ -313 , 0i, (c) _ 133 , 0i, (d) _0, 133 i, , Sol : www.cbse.site/ma/gm263, 163. The point ^- 3, k h divides the line segment joining, the points ^- 5, - 4h and ^- 2, 3h . The alue of k will, be, (a) 23, (b), (c), (d), , 3, 2, 1, 3, 1, 2, , Sol : www.cbse.site/ma/gm264, 164. The points ^2, - 2h, ^- 2, 1h and ^5, 2h are the vertices, of a _____triangle., (a) equilateral, (b) scalene, (c) right angled, (d) right angled isosceles, Sol : www.cbse.site/ma/gm265, 165. What is the ratio in which P (4, m) divides the, segment joining the points A (2, 3) and B (6, - 3)., (a) 1 : 3, , (c) (8, 16), , (b) 1 : 2, , (d) (8, 4), , (c) 1 : 1, , Sol : www.cbse.site/ma/gm261, , (d) 1 : 4, Sol : www.cbse.site/ma/gm266
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 5, , Coordinate Geometry, , 166. What is the value of m in previous question ?, (a) 3, , ratio 3: 4, the value of x2 + y2 will be, (a) 25, , (b) 2, , (b) 29, , (c) 1, , (c) 27, , (d) 0, , (d) 28, , Sol : www.cbse.site/ma/gm267, , Sol : www.cbse.site/ma/gm272, , 167. If the point C (- 1, 2) divides internally the line, segment joining A (2, 5) and B (x, y) in the ratio 3 :4, the coordinates of B will be, (a) (- 2, - 5), , 172. What is the ratio in which the line segment joining, the points A ^3, - 3h and B ^- 2, 7h is divided by x, -axis., (a) 7 : 8, , (b) (- 5, - 2), , (b) 7 : 2, , (c) (2, 5), , (c) 3 : 8, , (d) (5, 2), , (d) 3 : 7, , Sol : www.cbse.site/ma/gm268, , Sol : www.cbse.site/ma/gm273, , 168. What is the ratio in which the segment joining the, points ^1, - 3h and ^4, 5h is divided by x -axis?, (a) 3 : 5, (b) 3 : 7, , 173. In previous question what are the co-ordinates of, point of division ?, (a) _ 32 , 0i, (b) _0, 32 i, , (d) 2 : 3, , (c) _0, 12 i, (d) _ 12 , 0i, , Sol : www.cbse.site/ma/gm269, , Sol : www.cbse.site/ma/gm274, , (c) 2 : 5, , 169. In previous question what is the coordinates of point, on x -axis which divide the line?, (a) ^ 178 , 0h, (b) ^- 178 , 0h, (c) ^0, 178 h, (d) ^0, - 178 h, , Sol : www.cbse.site/ma/gm270, , Page 117, , 174. What are the co-ordinates of the points which divide, the line segment joining the points ^5, 7h and ^8, 10h, in 3 equal parts ?, (a) P ^6, 8h and Q ^7, 9h, (b) P ^8, 6h and Q ^9, 7h, (c) P ^6, 8h and Q ^9, 7h, (d) P ^8, 6h and Q ^7, 9h, , Sol : www.cbse.site/ma/gm275, 170. Which of the following point on y -axis which is, equidistant from the points ^5, - 2h and ^- 3, 2h ., (a) (0, 6), (b) (0, 3)c, (c) (0, - 2), (d) (0, - 4), Sol : www.cbse.site/ma/gm271, 171. If the point C ^- 1, 2h divides internally the line, segment joining the points A ^2, 5h and B ^x, y h in the, , 175. What are the co-ordinates of a point on the x - axis, which is equidistant from the points A ^2, - 5h and, B ^- 2, 9h ?, (a) (6, 0), (b) (4, 0), (c) (- 6, 0), (d) (- 7, 0), Sol : www.cbse.site/ma/gm276
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 118, , Coordinate Geometry, , 176. The line segment joining the points A ^3, - 4h and, B ^1, 2h is trisected at the points P and Q. Find the, coordinate of the PQ., (a) _ 43 , - 2i, (b) _- 2, 73 i, (c) _ 73 , - 2i, (d) _- 2, 43 i, , Sol : www.cbse.site/ma/gm277, 177. What are the co-ordinates of the point on the y axis which is equidistant from the points A ^5, 3h and, B ^1, - 5h, (a) _0, 12 i, (b) (0, 1), (c) _0, 32 i, (d) (0, 2), , Sol : www.cbse.site/ma/gm278, , ***********, , Chap 5
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 6, , Introduction of Trignometry, , Page 119, , CHAPTER 6, INTRODUCTION OF TRIGNOMETRY, 1., , Given that sin a = 3 and cos b = 0 , then the value, 2, of b - a is, (a) 0c, , (c), (d) 1, , 3, 2, , Sol : www.cbse.site/ma/hm105, , (b) 90c, (c) 60c, (d) 30c, , 6., , Sol : www.cbse.site/ma/hm101, , If sin q = a , then cos q is equal to, b, (a) b b- a, 2, , 2., , If TABC is right angled at C , then the value of, sec (A + B) is, (a) 0, , (c), , b2 - a2, b, a, 2, b - a2, , Sol : www.cbse.site/ma/hm106, , 2, 3, , (d) not defined, , b2 - a2, a, , (d), , (b) 1, (c), , 2, , (b), , 7., , Sol : www.cbse.site/ma/hm102, , If cos ^a + b h = 0 , then sin ^a - b h can be reduced to, (a) cos b, (b) cos 2b, (c) sin a, , 3., , If sin q + cos q =, of tan q is, (a) 2 - 1, (b), , 2 +1, , (c), , 2, , (d) sin 2a, , 2 cos q , (q ! 90c) then the value, , Sol : www.cbse.site/ma/hm107, 8., , (d) - 2, , 4., , Sol : www.cbse.site/ma/hm103, , (a), , If cos A = 4 , then the value of tan A is, 5, (a) 35, , (c) 1, , (b), (c), (d), , 3, 4, 4, 3, 5, 3, , Sol : www.cbse.site/ma/hm104, , 5., , If cos 9a = sin a and 9a < 90c, then the value of, tan 5a is, , If sin A = 1 , then the value of cot A is, 2, (a) 3, (b), , 1, 3, , (b), , 1, 3, 3, , (d) 0, Sol : www.cbse.site/ma/hm108, 9., , If TABC is right angled at C , then the value of, cos ^A + B h is, (a) 0, (b) 1, (c) 1, 2, (d) 3, 2
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 6, (a), (b), , Introduction of Trignometry, , Page 121, , (c) Assertion (A) is true but reason (R) is false., , mn, m, n, , (d) Assertion (A) is false but reason (R) is true., Sol : www.cbse.site/ma/hm123, , (c) 4 mn, (d) None of these, , 24. If sin q = 5 , then the value of tan q is .......... ., 13, (a) 135, , Sol : www.cbse.site/ma/hm119, 0 < q < p4 , then, 1 - 2 sin q cos q is, (a) sin q - cos q, , 20. If, , the, , simplest, , form, , of, , (b), (c), (d), , 5, 12, 12, 13, 8, 13, , (b) cos q - sin q, (c) cos q + sin q, (d) sin q cos q, Sol : www.cbse.site/ma/hm120, , 25. The value of the (tan2 60c + sin2 45c) is .......... ., (a) 12, (b), , 3, 2, , (c) 1, 21. If f ^x h = cos2 x + sec2 x , then f ^x h, (a) $ 1, , (d), , 7, 2, , Sol : www.cbse.site/ma/hm125, , (b) # 1, (c) $ 2, (d) # 2, Sol : www.cbse.site/ma/hm121, 22. Assertion : The value of sin q = 43 is not possible., Reason : Hypotenuse is the largest side in any right, angled triangle., (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., , 26. If cot q = 12 , then the value of sin q is ......... ., 5, (a) 135, (b), (c), (d), , 8, 12, 12, 5, 13, 5, , Sol : www.cbse.site/ma/hm126, 27. If tan (A + B) = 3 and tan (A - B) = 1 , A > B, 3, , then the value of A is ......... ., (a) 45°, (b) 60°, (c) 90°, , (c) Assertion (A) is true but reason (R) is false., , (d) 30°, , (d) Assertion (A) is false but reason (R) is true., , Sol : www.cbse.site/ma/hm127, , Sol : www.cbse.site/ma/hm122, 23. Assertion : sin2 67c + cos2 67c = 1, Reason : For any value of q, sin2 q + cos2 q = 1, (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., , 1, 28. The value of c sin2 q +, = ................... ., 1 + tan2 q m, (a) 0, (b) 1, (c) 2, (d) 3, Sol : www.cbse.site/ma/hm128, 29. The, , value, , of, , (1 + tan2 q) (1 - sin q) (1 + sin q) =
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 122, , Introduction of Trignometry, , ................... ., (a) 0, , Sol : www.cbse.site/ma/hm134, , (b) 1, , 35. In a triangle ABC, cos b B + C l will be, 2, (a) sin A4, , (c) 2, (d), , Chap 6, , 1, 2, , (b) cos A, , Sol : www.cbse.site/ma/hm129, , (c) sin A2, (d) cos A2, , 30. (1 + tan A - sec A) # (1 + tan A + sec A) = ?, (a) 2 tan A, (b) 2 sin A, , Sol : www.cbse.site/ma/hm135, 36. If sec q $ sin q = 0 , then value of q will be, (a) 0, , (c) 2 sec A, (d) 2 cot A, , (b) 90º, , Sol : www.cbse.site/ma/hm130, , (c) 45º, (d) 3, , 31. If tan A = cot B , then the value of (A + B) is, (a) 90°, (b) 120°, , Sol : www.cbse.site/ma/hm136, 37. If tan 2A = cot ^A + 60ºh , where 2A is an acute, angle, the value of A will be, (a) 20°, , (c) 60°, (d) 180°, Sol : www.cbse.site/ma/hm131, , (b) 30°, (c) 60°, , 32. If x = 3 sin q + 4 cos q and y = 3 cos q - 4 sin q then, x2 + y2 is, (a) 25, (b) 45, , (d) 10°, Sol : www.cbse.site/ma/hm137, 38. If tan ^3x + 30ºh = 1 then the value of x. will be, (a) 5°, , (c) 7, (d) 49, , (b) 10°, , Sol : www.cbse.site/ma/hm132, , (c) 20°, (d) 30°, , 33., , 2, , 2, , sin 60c - 2 tan 45c - cos 30c = ?, (a) 2, (b) –2, (c) 1, (d) –1, Sol : www.cbse.site/ma/hm133, , Sol : www.cbse.site/ma/hm138, 39. What happens to value of cos q when q increases, from 0º to 90º., (a) cos q decreases from 1 to 0., (b) cos q increases from 0 to 1., (c) cos q increases from, , 34. If sin q + sin2 q = 1 then cos2 q + cos 4 q = ?, (a) 1, , 1, 2, , to 1, , (d) cos q decreases from 1 to, , 1, 2, , Sol : www.cbse.site/ma/hm139, , (b) 2, (c) 2 2, (d) 2 3, , 40. If A and B are acute angles and sin A = cos B, then
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 6, , Introduction of Trignometry, , the value of A + B is, (a) 60°, , (d) cot A, Sol : www.cbse.site/ma/hm145, , (b) 180°, (c) 90°, 46., , (d) 120°, Sol : www.cbse.site/ma/hm140, , tan 4 q + tan2 q = ?, (a) sec2 q - 2 sec 4 q, (b) 2 sec2 q - sec 4 q, (c) sec2 q - sec 4 q, , 41. If cos A = 2 , the value of 4 + 4 tan2 A will be, 5, (a) 1, , (d) sec 4 q - sec2 q, Sol : www.cbse.site/ma/hm146, , (b) 2, (c) 4, 47., , (d) 25, Sol : www.cbse.site/ma/hm141, , 1 - sin q = ?, 1 + sin q, (a) sin q - cos q, (b) sec q - tan q, (c) sec q + tan q, , 42. If k + 1 = sec2 q ^1 + sin qh^1 - sin qh, then the value of, k. will be, (a) 0, , (d) sin q + cos q, Sol : www.cbse.site/ma/hm147, , (b) 1, (c) 2, , 48., , (d) 15, Sol : www.cbse.site/ma/hm142, , 1 - tan2 q = ?, 1 + tan2 q, (a) 1, (b) cos2 q - sin2 q, (c) sin2 q, , 2, , 2, , 43. The value of sin 41º + sin 49º will be, (a) 1, (b), , (d) cos2 q, Sol : www.cbse.site/ma/hm148, , 2, , (c) 2, (d), , 3, , 49., , Sol : www.cbse.site/ma/hm143, , tan2 q + cot2 q = ?, 1 + tan2 q 1 + cot2 q, (a) 1, (b) 2 tan2 q, (c) 2 cot2 q, , cot2 a, =?, 1 + cosec a, (a) cos a, , 44. 1 +, , (d) 2 sec2 q, Sol : www.cbse.site/ma/hm149, , (b) tan a, (c) cosec a, (d) sin a, Sol : www.cbse.site/ma/hm144, , 50., , 1, 1, =?, +, 1 + sin q 1 - sin q, (a) 1, (b) 2 sec2 q, , 3, 45. sin A3 - 2 sin A = ?, 2 cos A - cos A, (a) sin A, , (b) tan A, (c) cos A, , (c) 2 sin2 q, (d) 2 cos2 q, Sol : www.cbse.site/ma/hm150, , Page 123
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 124, 51., , Introduction of Trignometry, , cosec q + cosec q = ?, cosec q - 1 cosec q + 1, (a) 1, , Chap 6, , (a) 1, (b) 2, (c), , (b) 2 sec2 q, , 3, , (d) 3, , (c) 2 tan2 q, , Sol : www.cbse.site/ma/hm155, , (d) 2 sin2 q, Sol : www.cbse.site/ma/hm151, 52. If 5 tan q = 3 , then, 5 sin q - 3 cos q, b 4 sin q + 3 cos q l ?, (a) 1, , what, , is, , the, , value, , of, , 56. The trigonometric ratio of sec A is equal to, (a) 1 -1cos A, 2, , (b), (c), (d), , (b) 0, , 1, 1 - sin2 A, 1, 1 - tan2 A, 1, 1 - cot2 A, , Sol : www.cbse.site/ma/hm156, , (c) 3, (d) 4, Sol : www.cbse.site/ma/hm152, , 57. The trigonometric ratio of tan A is equal to, A, (a) 1 sin, - cos A, 2, , (b), 53., , sin A, 1 - sin2 A, cos A, 1 - sec2 A, 1, 1 - cot2 A, , 3 tan2 30º + tan2 60º + cosec 30º - tan 45º = ?, cot2 45º, (a) 2, , (c), , (b) 3, , Sol : www.cbse.site/ma/hm157, , (d), , (c) 4, (d) 5, , 58., , Sol : www.cbse.site/ma/hm153, 54. If sin f = 1 , then 3 cos f - 4 cos3 f = ?, 2, (a) 0, , 4, 4, ^sin q + cos qh, =?, 1 - 2 sin2 q cos2 q, (a) 1, (b) sin q, (c) tan q, (d) cos q, , Sol : www.cbse.site/ma/hm158, , (b) –1, (c) 1, (d) –2, Sol : www.cbse.site/ma/hm154, , 59., , sec 4 q - sec2 q = ?, (a) 2 tan q, (b) 2 tan2 q, (c) - 2 tan2 q, , 55. In the given figure, AOB is a diameter of a circle, with centre O, The value of tan A tan B. will be, , (d) tan2 q + tan 4 q, Sol : www.cbse.site/ma/hm159, 60. If cos q + cos q = 4; q # 90º the value of q, 1 - sin q 1 + sin q, will be, (a) 30°, (b) 45°, (c) 60°, (d) 90°, Sol : www.cbse.site/ma/hm160
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 6, 61., , Introduction of Trignometry, , Page 125, , the value of tan q will be, , 1 - cos A = ?, 1 + cos A, (a) 1 + cos A, (b) cosec A + cot A, (c) cosec A - cot A, (d) 1 - cos A, Sol : www.cbse.site/ma/hm161, , 62. If sin q - cos q = 1 , the value of sin q + cos q will be, 2, (a) 32, (b), , 7, 2, , (a) 1, , (c), , 5, 3, , (b), , (d), , 5, 2, , (c), (d), , Sol : www.cbse.site/ma/hm162, , 3, 4, 4, 5, 3, 5, , Sol : www.cbse.site/ma/hm165, 63. If q be an acute angle and 5 cosec q = 7 , then value, of sin q + cos2 q - 1 will be, (a) 10, 49, (b), (c), (d), , 39, 49, 10, 47, 37, 47, , 66. In previous question the value of sec q + cosec q will, be, (a) 2, (b), (c), (d), , Sol : www.cbse.site/ma/hm163, , 35, 12, 45, 12, 7, 3, , Sol : www.cbse.site/ma/hm165, 64. If sin A =, (a), , 3 , the value of 2 cot2 A - 1 will be, 2, , 1, 3, , (b) - 13, (c), , 1, 2, , (d) - 12, Sol : www.cbse.site/ma/hm164, 65. The rod of TV disc antenna is fixed at right angles, to wall AB and a rod CD is supporting the disc as, shown in Figure. If AC = 3 m long and CD = 5 m ,, , 67., , cot q + cosec q - 1 = ?, cot q - cosec q + 1, (a) 1 - cos q, sin q, (b) 1 + cos q, sin q, 1, sin q, (c), cos q, (d) 1 + sin q, cos q, Sol : www.cbse.site/ma/hm166, , 68. If sin q + cos q =, (a) 1, , 2 then tan q + cot q = ?, , (b) 2, (c) 3, (d) 4, Sol : www.cbse.site/ma/hm167
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 6, , Introduction of Trignometry, , (d) 2 cosec2 q, , 86., , Sol : www.cbse.site/ma/hm179, , (b), (c), (d), , 1, sinA, 1, cosA, 2, cosA, , sin A is equal to, (a) 1 - sec2 A, sec2 A - 1, , (b), , sec A, sec2 A - 1, sec2 A - 1, sec A, , (c), , 1, 1, 81., =?, +, cosec A - cot A cosec A + cot A, 2, (a) sinA, , (d), , Sol : www.cbse.site/ma/hm185, 87., , Sol : www.cbse.site/ma/hm180, , cos A is equal to, (a) 1 - sec2 A, sec2 A - 1, , (b), , sec A, sec2 A - 1, sec2 A - 1, sec A, , (c), 82. If sec q = x +, (a) 2x, (b), , 1, 4x, , Page 127, , then sec q + tan q = ?, , (d), , Sol : www.cbse.site/ma/hm186, , 1, 2x, , (c) both (a) and (b) are correct, 88., , (d) x, Sol : www.cbse.site/ma/hm181, 83. sin q - cos q + sin q + cos q = ?, sin q + cos q sin q - cos q, (a) 2 sin2q - 1, 2, , (a), (b), (c), (d), , 1, 1 - 2 cos2 A, 1, 1 + 2 cos2 A, 2, 2 sin2 A - 1, 1, 1 - 2 sin2 A, , Sol : www.cbse.site/ma/hm182, , cosec A is equal to, (a) 1 - sec2 A, sec2 A - 1, , (b), , sec A, sec2 A - 1, sec2 A - 1, sec A, , (c), (d), , Sol : www.cbse.site/ma/hm187, 89. If sin q + cos q =, (a) 1, , 2 , then tan q + cot q = ?, , (b) 2, (c) 2 2, (d) 2 3, , 84. If x sin3 q + y cos3 q = sin q cos q and x sin q = y cos q,, then x2 + y2 is equal to, (a) 1, (b) 2, (c) 3, (d) 4, Sol : www.cbse.site/ma/hm183, 3, 3, 3, 3, 85. cos q + sin q + cos q - sin q = ?, cos q + sin q, cos q - sin q, (a) 1, , (b) 2, (c) 3, (d) 4, Sol : www.cbse.site/ma/hm184, , Sol : www.cbse.site/ma/hm188, 90. If sin q + cos q =, (a) 1, , 3 , then tan q + cot q = ?, , (b) 2, (c) 2 2, (d) 2 3, Sol : www.cbse.site/ma/hm189, 91. If sin A = 3 then sec A is equal to, 4, (a) 45, (c), , 4, 7, 5, 4, , (d), , 7, 4, , (b)
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 128, , Introduction of Trignometry, , Sol : www.cbse.site/ma/hm190, , 97., , tan2 30º sin 30º + cos 60º sin2 90º tan2 60º - 2 tan 45º cos2 0º sin 90º, , (a), 92., , tan q + cot q = ?, 1 - cot q 1 - tan q, (a) 1 + tan q cosec q, , Chap 6, , (b), , 2, 3, 1, 3, , (c) - 23, (d) - 13, , (b) 1 + cos q cosec q, , Sol : www.cbse.site/ma/hm196, , (c) 1 + sin q cosec q, (d) 1 + sec q cosec q, , 98. Given that tan ^A + B h = tan A + tan B , the value, 1 - tan A tan B, , Sol : www.cbse.site/ma/hm191, , 93., , of tan 75º will be, (a) 0, , sin q, =?, cot q + cosec q, (a) 1 - cos q, , (b) 3, , (b) 1 + cos q, (c) 1 + sin q, , (c) 2 +, , 3, , (d) 2 -, , 3, , Sol : www.cbse.site/ma/hm197, , (d) 1 - sin q, Sol : www.cbse.site/ma/hm192, 99., 94., , sin2 30º cos2 45º + 4 tan2 30º + 12 sin 90º - 2 cos2 90º + 241 = ?, , sin q, =?, cot q - cosec q, (a) 1 - cos q, , (a) 0, , (b) 1 + cos q, , (c) 2, , (c) 1 + sin q, , (d) 3, , (d) 1 - sin q, , Sol : www.cbse.site/ma/hm198, , 2+, , (b) 1, , Sol : www.cbse.site/ma/hm193, 95. Given that sin ^A + 2B h = 23 and cos ^A + 4B h = 0 ,, where A and B are acute angles. The value of A is, (a) 30°, , 100. 4 ^sin 4 30º + cos 4 60ºh - 3 ^cos2 45 - sin2 90ºh = ?, (a) 0, (b) 1, (c) 2, , (b) 45°, , (d) 3, , (c) 60°, , Sol : www.cbse.site/ma/hm199, , (d) 90°, Sol : www.cbse.site/ma/hm194, Sol :, , [Board 2019 OD], , 96. If 4 tan q = 3 , b 4 sin q - cos q + 1 l = ?, 4 sin q + cos q - 1, 11, (a) 13, (b), (c), (d), , 11, 15, 13, 11, 15, 11, , Sol : www.cbse.site/ma/hm195, , 101. If, 15 tan2 q + 4 sec2 q = 23,, 2, 2, ^sec q + cosec qh - sin q will be, (a) 6.5, , the, , value, , of, , (b) 3.5, (c) 7.5, (d) 4.5, Sol : www.cbse.site/ma/hm200, 102. If, 3 cot2 q - 4 cot q +, 2, cot q + tan2 q will be, (a) 157, , 3 = 0 , then the value of
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 130, , Introduction of Trignometry, 119. ^sin A + sec Ah2 + ^cos A + cosec Ah2 = ?, (a) ^1 + sec A cosec Ah2, , c, c2 + d2, d, c2 + d2, , (c), (d), , Sol : www.cbse.site/ma/hm211, , 114. If sin q =, (a), , d, c, , (b), , c, d, , c, and d > 0, then tan q is equal to, c2 + d2, , (d), , 2, 2, 115. If tan q = 1 , value of cosec2 q - sec2 q is equal to, cosec q + sec q, 5, (a) 23, 1, 3, , (c), , 3, 4, , (d), , 1, 5, , Sol : www.cbse.site/ma/hm216, , (c), , 3, 7, 2, 7, 7, 4, , (d), , 7, 2, , (b), , Sol : www.cbse.site/ma/hm217, 121. If 4 sin q = 3, then tan q is equal to, , (c), , 3, 7, 2, 7, 7, 4, , (d), , 7, 2, , (a), (b), , Sol : www.cbse.site/ma/hm213, 116. If sec q + tan q = p, then, (a) 2 tan q sec q, , (d) ^1 + sin A sec Ah2, , (a), , Sol : www.cbse.site/ma/hm212, , (b), , (b) ^1 + cos A sin Ah2, (c) ^1 + cos A cosec Ah2, , 120. If 4 sin q = 3, then cos q is equal to, , c, c2 + d2, d, c2 + d2, , (c), , Chap 6, , 1, p, , is equal to, , (b) sec q - tan q, (c) tan q - sec q, (d) tan q + sec q, Sol : www.cbse.site/ma/hm214, , Sol : www.cbse.site/ma/hm218, 122. sec2 q + cosec2 q can never be less than __., (a) 1, (b) 2, (c) 4, (d) 0, , 117. In previous question cos q is equal to, (a) p 2+p 1, , Sol : www.cbse.site/ma/hm219, , 2, , (b), (c), (d), , p2 - 1, p2 + 1, p2 + 1, p2 - 1, 2p, p2 - 1, , Sol : www.cbse.site/ma/hm214, , 123. If tan 5f = 1 then f is equal to, (a) 9º, (b) 90º, (c) 45º, (d) 30º, , 118. ^cosec q + cot qh2 = ?, q+1, (a) sec, sec q - 1, (b), (c), (d), , sec q - 1, sec q + 1, 1 + sec q, 1 - sec q, 1 - sec q, 1 + sec q, , Sol : www.cbse.site/ma/hm215, , Sol : www.cbse.site/ma/hm220, sin f, 1 + cos f, = 4 then f is equal to, +, 1 + cos f, sin f, (a) 9º, , 124. If, , (b) 90º, (c) 45º, (d) 30º
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 6, , Introduction of Trignometry, , Sol : www.cbse.site/ma/hm221, 125. If tan A + sin A = m and tan A - sin A = n, then, m2 - n2 is equal to, (a) 4 cos A tan A, (b) 4 sin A tan A, (c) 2 cos A tan A, , Page 131, , COMPETENCEY BASED QUESTIONS, 130. Golf is a game played in an open field where the, golfer plays his golf ball into a hole by using different, types of clubs (golf instruments). In golf, a golfer, plays a number of holes in a given order. 18 holes, played in an order controlled by the golf course, design, normally make up a game., , (d) 2 cos A tan A, Sol : www.cbse.site/ma/hm222, 126. If tan A + sin A = m and tan A - sin A = n, then, 4 mn is equal to, (a) 4 cos A tan A, (b) 4 sin A tan A, (c) 2 cos A tan A, (d) 2 cos A tan A, Sol : www.cbse.site/ma/hm223, 127. If cos a = m and cos a = n, then ^m2 + n2h cos2 b = ?, cos b, sin b, (a) n2, (b) 2n2, , On your approach shot to the ninth green, the Global, Positioning System (GPS) your cart is equipped with, tells you the pin is 180 meter away. The distance, plate states the straight line distance to the hole is 90, meter. Relative to a straight line between the plate, and the hole, at what acute angle should you hit the, shot?, , (c) m2, (d) 2m2, Sol : www.cbse.site/ma/hm224, 128. If 7 cosec f - 3 cot f = 7, then 7 cot f - 3 cosec f = ?, (a) 1, (b) 2, (c) 3, (d) 4, Sol : www.cbse.site/ma/hm225, 129. cos q - sin q + 1 = ?, cos q + sin q - 1, (a) cos q - sin q, (b) sin q - cos q, (c) sin q + cos q, (d) cosec q + cot q, Sol : www.cbse.site/ma/hm226, , (a) 60°, (b) 30°, (c) 90°, (d) 45°, Sol : www.cbse.site/ma/hm227
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 132, , Introduction of Trignometry, , Chap 6, , Direction For Question : (131-132), The fire brigade is an organization which has the job, of putting out fires; used especially to refer to the, people who actually fight the fires., , 133. What angle does the dock make with the street?, (a) 60°, A fire brigade ladder-truck arrives at a highrise, apartment complex where a fire has broken out. The, maximum length the ladder extends is 40 meter and, the angle of inclination is 45c . Assume the ladder is, mounted atop a 3 meter high truck., 131. How high up the side of the building does the ladder, reach?, (a) 22.46 m, (b) 31.28 m, (c) 14.39 m, (d) 28.46 m, Sol : www.cbse.site/ma/hm228, 132. What is the length of base of truck ?, (a) 12.46 m, (b) 28.28 m, (c) 8.96 m, , (b) 30°, (c) 90°, (d) 45°, Sol : www.cbse.site/ma/hm229, 134. How long is the base of the ramp?, (a) 4.1 m, (b) 3.5 m, (c) 5.3 m, (d) 2.1 m, Sol : www.cbse.site/ma/hm229, , Direction For Question : (135-136), Water Slide Design : Slide shown in the figure is part, of a design for a water slide., , (d) 31.28 m, Sol : www.cbse.site/ma/hm228, , Direction For Question : (133-134), A heavy-duty ramp is used to winch heavy appliances, from street level up to a warehouse loading dock. If, the ramp is 2 meter high and the incline is 4 meter, long,, , 135. What is the length of flat part of slide., (a) 44.69 m, (b) 22.16 m, (c) 16.34 m
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 6, , Introduction of Trignometry, , (d) 34.18 m, , Page 133, , from the wall., , Sol : www.cbse.site/ma/hm230, 136. What is the total length of the slide?, (a) 5.4 m, (b) 21.6 m, (c) 33.7 m, (d) 42.2 m, Sol : www.cbse.site/ma/hm230, 137. A skateboarder wishes to build a jump ramp that, is inclined at a 30c angle and that has a maximum, height of 2 meter. What is the horizontal width of, the ramp., , (a) 2.7 m, (b) 1.8 m, (c) 3.9 m, (d) 3.1 m, Sol : www.cbse.site/ma/hm232, 139. Venus rotates in a nearly circular orbit around the, sun. The largest angle formed by Venus, Earth,, and the sun is 45c . The distance from Earth to, the sun is approximately 149 million kilometers. See, the following figure. What is the orbital radius r of, Venus? Round to the nearest million kilometers., , (a) 2.6 m, (b) 3.5 m, (c) 5.9 m, (d) 4.6 m, Sol : www.cbse.site/ma/hm231, 138. For best illumination of a piece of art, a lighting, specialist for an art gallery recommends that a, ceiling-mounted light be 3 meter from the piece of, art and that the angle of depression of the light be, 30c . How far from a wall should the light be placed, so that the recommendations of the specialist are, met? Notice that the art extends outward 10 cm, (a) 48, (b) 105
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 134, , Introduction of Trignometry, , Chap 6, , (c) 56, (d) 145, Sol : www.cbse.site/ma/hm233, 140. Triangle Consider the following isosceles triangle. The, length of each of the two equal sides of the triangle, is a , and each of the base angles has a measure of q, . The area of the triangle is, Consider the line diagram of truss shown below and, find the following length :, , (a) a2 sin q cos q, (b) 2a2 sin q cos q, (c), , 1, 2, , a sin q cos q, 2, , (d) ab sin q cos q, Sol : www.cbse.site/ma/hm234, 141. The area of the triangle given in the figure is, , 142. What is the length a ?, (a) 30 m, (b) 20 m, (c) 34.6 m, (d) 17.32 m, Sol : www.cbse.site/ma/hm236, 143. What is the length b ?, (a) 30 m, (b) 20 m, (c) 34.6 m, (d) 17.32 m, , (a), , 1, 2, , bc sin q, , Sol : www.cbse.site/ma/hm236, , (b) bc sin q, (c) ab sin q, (d), , 1, 2, , ab sin q, , Sol : www.cbse.site/ma/hm235, , 144. What is the length c ?, (a) 30 m, (b) 20 m, (c) 34.6 m, (d) 17.32 m, , Direction For Question : (142-145), A truss is a structure that consists of members, organised into connected triangles so that the overall, assembly behaves as a single object. Trusses are most, commonly used in bridges, roofs and towers., , Sol : www.cbse.site/ma/hm236, 145. What is the length d ?, (a) 30 m, (b) 20 m, (c) 34.6 m, (d) 17.32 m
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 6, , Introduction of Trignometry, , other, while standing 50 meter from one corner., , Sol : www.cbse.site/ma/hm236, 146. Meteorologists find the height, instrument called a ceilometer., projector that directs a vertical, cloud base and a light detector, to detect the light beam., , Page 135, , of a cloud using an, It consists of a light, light beam up to the, that scans the cloud, , On July 2, 2021, at Midway Airport in Mumbai, a, ceilometer was employed to find the height of the, cloud cover. It was set up with its light detector 50, meter from its light projector. If the angle of elevation, from the light detector to the base of the cloud was, 60°, what was the height of the cloud cover?, (a) 140 m, , Using a stopwatch he finds the plane makes each, pass in 4.33 sec. If the angle of rotation was 60c , how, fast is the plane flying as it applies the insecticide?, (a) 10 m/sec, (b) 30 m/sec, (c) 15 m/sec, , (b) 260 m, , (d) 20 m/sec, , (c) 210 m, , Sol : www.cbse.site/ma/hm238, , (d) 180 m, Sol : www.cbse.site/ma/hm237, 147. While standing near the edge of a farmer’s field,, Vikram watches a crop duster dust the farmer’s field, for insect control. Curious as to the plane’s speed, during each drop, Vikram attempts an estimate using, the angle of rotation from one end of the field to the, , 148. While driving to their next gig, Sarthak and the, boys get stuck in a line of cars at a railroad crossing, as the gates go down. As the sleek, speedy express, train approaches, Sarthak decides to pass the time, estimating its speed., , He spots a large oak tree beside the track some, distance away, and figures the angle of rotation from, the crossing to the tree is about 60c . If their car is, 40 meter from the crossing and it takes the train 3, sec to reach the tree, how fast is the train moving ?
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 136, , Introduction of Trignometry, , Chap 6, , (a) 59.14 kmph, (b) 83.12 kmph, (c) 71.14 kmph, (d) 64.16 kmph, Sol : www.cbse.site/ma/hm239, , Direction For Question : (149-153), Tower cranes are a common fixture at any major, construction site. They’re pretty hard to miss -- they, often rise hundreds of feet into the air, and can reach, out just as far. The construction crew uses the tower, crane to lift steel, concrete, large tools like acetylene, torches and generators, and a wide variety of other, building materials., , 149. What is the distance BS ?, (a) 8 3 m, (b) 4 3 m, (c) 4 2 m, (d) 8 2 m, Sol : www.cbse.site/ma/hm240, 150. What is the angle that the jib, BR , makes with the, horizontal ?, (a) 45°, (b) 30°, (c) 60°, (d) 75°, , A crane stands on a level ground. It is represented, by a tower AB , of height 24 m and a jib BR . The jib, is of length 16 m and can rotate in a vertical plane, about B . A vertical cable, RS , carries a load S . The, diagram shows current position of the jib, cable and, load., , Sol : www.cbse.site/ma/hm240, 151. What is the measure of the angle BRS ?, (a) 60°, (b) 75°, (c) 30°, (d) 45°, Sol : www.cbse.site/ma/hm240, 152. Now the jib BR , has been rotated and the length, RS is increased. The load is now on the ground at a, point 8 m from A. What is the angle through which, the jib has been rotated ?, (a) 15°, (b) 25°, (c) 30°, (d) 45°
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 6, , Introduction of Trignometry, , SELF TEST QUESTIONS, , Sol : www.cbse.site/ma/hm240, 153. What is the length by which RS has been increased?, (a) 8 3 m, , Page 137, , 154., , (b) 8 ^ 3 + 2h m, , cos2 (45c + q) + cos2 (45c - q), =?, tan (60c + q) tan (30c - q), (a) 1, (b) 2, , (c) 8 ^ 3 + 1h m, , (c) 3, , (d) 4 ^ 3 + 2h m, , (d) 4, , Sol : www.cbse.site/ma/hm240, , Sol : www.cbse.site/ma/hm241, 155. sin A - cos A - 1 = ?, sin A + cos A - 1, (a) sec A -1 tan A, (b), (c), (d), , 1, sec A + tan A, sec A, sec A + tan A, tan A, sec A + tan A, , Sol : www.cbse.site/ma/hm242, 156. 2 (sin6 q + cos6 q) - 3 (sin 4 q + cos 4 q) + 1 = ?, (a) 1, (b) 0, (c) 2, (d) –1, Sol : www.cbse.site/ma/hm243, , 157., , tan2 A +, cosec2 A, =?, 2, 2, tan A - 1 sec A - cosec2 A, (a), (b), (c), (d), , 1, 1 - 2 cos2 A, 1, 1 + 2 cos2 A, 1, 1 + 2 sin2 A, 1, 1 - 2 sin2 A, , Sol : www.cbse.site/ma/hm244, 158. In the given +PQR, right-angled at Q, QR = 9 cm, and PR - PQ = 1 cm. The value of sin R + cos R.
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 138, , Introduction of Trignometry, , will be, , 162., , Chap 6, , 1 - cos q for q = 60º will be, 1 + cos q, (a) 23, (b), , 1, 3, , (c), , 1, 2, , (d), , 3, 2, , Sol : www.cbse.site/ma/hm249, 163. If tan A + cot A = 2, then the value of tan2 A + cot2 A, will be, (a) 1, (b) 2, (a), (b), (c), (d), , (c) 4, , 41, 49, 49, 41, 31, 39, 39, 31, , (d) 6, Sol : www.cbse.site/ma/hm250, , Sol : www.cbse.site/ma/hm245, , 164. If cos q + sin q =, (a) 2 sin q, (b), , 159. If in a triangle ABC right angled at B, AB = 6, units and BC = 8 units, then the value of, sin A cos C + cos A sin C will be, (a) 1, , (c), (d), , 2 cos q, then cos q - sin q = ?, , 2 cos q, 1, 2, 1, 2, , sin q, cos q, , Sol : www.cbse.site/ma/hm251, , (b) 2, (c), , 1, 2, , (d), , 2, , Sol : www.cbse.site/ma/hm246, 160. If cos ^40º + x h = sin 30º, the value of x will be, (a) 20°, (b) 30°, , 165., , cos A + sin A = ?, 1 - tan A 1 - cot A, (a) sin A - cos A, (b) sin A + cos A, (c) cos A - sin A, (d) - sin A - cos A, Sol : www.cbse.site/ma/hm252, , (c) 40°, (d) 45°, Sol : www.cbse.site/ma/hm247, , 166. If, and, sin ^A + B h = 1, sin ^A - B h = 12 ,, 0 # A + B < 90º and A > B, then A will be, (a) 90°, (b) 45°, , 2, 4 cos2 30º - tan2 45º = ?, 161. 5 cos 60º +, 2, sin 30º + cos2 60º, 41, (a) 49, , (b), (c), (d), , 13, 2, 15, 2, 15, 6, , Sol : www.cbse.site/ma/hm248, , (c) 60°, (d) 30°, Sol : www.cbse.site/ma/hm253, 1, 167. sin 90º +, is equal to, cos 45º cosec 30º, (a), , 2 + 12, , (b) 2 +, , 1, 2
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 6, , Introduction of Trignometry, , (c) 2 +, , 2, , (d) 1 +, , 2, , Sol : www.cbse.site/ma/hm259, 173. The value of sin 30º cos 60º + cos 30º sin 60º will be, (a) 2, , Sol : www.cbse.site/ma/hm254, , (b) 1, , 168. If 2 sin q = 1, the value of sec2 q - cosec2 q. will be, (a) 0, , (c), , (d), , Sol : www.cbse.site/ma/hm260, , 1, 2, 1, 4, , Sol : www.cbse.site/ma/hm255, 169. If 4 cos q = 11 sin q, the value of 11 cos q - 7 sin q will, 11 cos q + 7 sin q, be, (a), (b), (c), (d), , 1, 3, , (d) 2 2, , (b) 1, (c), , Page 139, , 93, 122, 93, 149, 29, 122, 56, 149, , 174. If 3 sin q - cos q = 0 and 0º < q < 90º, the value of, q. will be, (a) 30°, (b) 45°, (c) 60°, (d) 90°, Sol : www.cbse.site/ma/hm261, 175. cos 45º + 1 = ?, sec 30º sec 60º, (a) 23 + 14, , Sol : www.cbse.site/ma/hm256, 170. If, tan ^A - B h =, tan ^A + B h = 3 ,, 0c < A + B # 90c, then A will be, (a) 30°, , 1, 3, , (b) 45°, , (b), , 3, 4, , + 12, , (c), , 3, 4, , + 14, , (d), , 6, 4, , + 12, , Sol : www.cbse.site/ma/hm262, , (c) 60°, (d) 90°, Sol : www.cbse.site/ma/hm257, , 176. If x = a cosec q, y = b cot q then b2 x2 - a2 y2 equal to, (a) aa+bb, 2, , 2, , 2 2, , (b), 171. If cos ^A - B h = 23 and sin ^A + B h = 23 , where, ^A + B h and ^A - B h are acute angles, the value of, A is, (a) 45°, , (c), , a2 b2, a2 + b2, a2 b2, a+b, 2 2, , (d) a b, , Sol : www.cbse.site/ma/hm263, , (b) 60°, (c) 30°, (d) 90°, Sol : www.cbse.site/ma/hm258, , 177. If cosec q - cot q =, equal to, (a) 2 sin q, , 2 cot q, then cosec q + cot q is, , (b) sin q, (c) cosec q, , 172. If 2 sin 2q =, (a) 1, , (d), , (d), , 2 cosec q, , Sol : www.cbse.site/ma/hm264, , 1, 2, , (b), (c), , 3 , the value of cos 2q , will be, , 1, 2, 3, 2, , 178., , cot3 q sin3 q + tan3 q cos3 q = ?, 2, 2, ^cos q + sin qh ^cos q + sin qh
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 140, (a), (b), (c), (d), , Introduction of Trignometry, (c) (a - b) 2, , sec q + 1, sec q - 1, sec q - 1, sec q + 1, cosec q sec q - 1, cosec q + sec q, 1 - sec q, 1 + sec q, , (d) a2 - b2, Sol : www.cbse.site/ma/hm270, , Sol : www.cbse.site/ma/hm265, sec q - 1 +, sec q + 1, , 179., , Chap 6, , sec q + 1 = ?, sec q - 1, , (a) 2 sin q, , 184., , cos2 q +, sin3 q, =?, 1 - tan q sin q - cos q, (a) 1 + sec q cosec q, (b) 1 + sin q sec q, (c) 1 + cos q cosec q, (d) 1 + sin q cos q, , (b) sin q, , Sol : www.cbse.site/ma/hm271, , (c) cosec q, (d) 2 cosec q, Sol : www.cbse.site/ma/hm266, 180. tan q + sin q = ?, tan q - sin q, q+1, (a) sec, sec q - 1, (b), (c), (d), , sec q - 1, sec q + 1, 1 + sec q, 1 - sec q, 1 - sec q, 1 + sec q, , Sol : www.cbse.site/ma/hm267, , 181., , cosec A + cosec A = ?, cosec A - 1 cosec A + 1, (a) 2 cos2 A, (b) 2 sin2 A, (c), (d) 2 cot2 A, Sol : www.cbse.site/ma/hm268, , 182. If cosec q + cot q = p, then, (a) sin q, , p2 - 1, =?, p2 + 1, , (b) cos q, (c) tan q, (d) cot q, Sol : www.cbse.site/ma/hm269, 183. If a cos q + b sin q = m and a sin q - b cos q = n, then, m2 + n2 will be equal to, (a) a2 + b2, (b) (a + b) 2, , ***********
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 7, , Areas Related to Circles, , Page 141, , CHAPTER 7, AREAS RELATED TO CIRCLES, 1., , 2., , The area of a circular ring formed by two concentric, circles whose radii are 5.7 cm and 4.3 cm respectively, is (Take p = 3.1416 ), (a) 44 sq. cm., , 4., , If a circular grass lawn of 35 m in radius has a path, 7 m wide running around it on the outside, then the, area of the path is, (a) 1450 m2, , (b) 66 sq. cm., , (b) 1576 m2, , (c) 22 sq. cm., , (c) 1694 m2, , (d) 33 sq. cm., , (d) 3368 m2, , Sol : www.cbse.site/ma/lm101, , Sol : www.cbse.site/ma/lm104, , In the adjoining figure, OABC is a square of side, 7 cm. OAC is a quadrant of a circle with O as centre., The area of the shaded region is, , 5., , If the area of a semi-circular field is 15400 sq m, then, perimeter of the field is, (a) 160 2 m, (b) 260 2 m, (c) 360 2 m, (d) 460 2 m, Sol : www.cbse.site/ma/lm105, , 6., , The area of the circle that can be inscribed in a, square of side 6 cm is, (a) 36p cm2, (b) 18p cm2, (c) 12p cm2, , (a) 10.5 cm2, , (d) 9p cm2, , (b) 38.5 cm2, , Sol : www.cbse.site/ma/lm106, , (c) 49 cm2, (d) 11.5 cm, , 2, , Sol : www.cbse.site/ma/lm102, 3., , 7., , A sector is cut from a circular sheet of radius 100 cm,, the angle of the sector being 240c. If another circle, of the area same as the sector is formed, then radius, of the new circle is, (a) 79.5 cm, , The sum of the areas of two circle, which touch each, other externally, is 153 p . If the sum of their radii is, 15, then the ratio of the larger to the smaller radius, is, (a) 4 : 1, (b) 2 : 1, (c) 3 : 1, (d) None of these, , (b) 81.5 cm, , Sol : www.cbse.site/ma/lm107, , (c) 83.4 cm, (d) 88.5 cm, Sol : www.cbse.site/ma/lm103, , 8., , A race track is in the form of a ring whose inner
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 142, , Areas Related to Circles, , and outer circumference are 437 m and 503 m, respectively. The area of the track is, (a) 66 sq. cm., , cm, then its diameter is, (a) 10 cm, (b) 14 cm, , (b) 4935 sq. cm., , (c) 12 cm, , (c) 9870 sq. cm, , (d) 16 cm, , (d) None of these, , Chap 7, , Sol : www.cbse.site/ma/lm112, , Sol : www.cbse.site/ma/lm108, 9., , In the given figure, OACB is a quadrant of a circle of, radius 7 cm. The perimeter of the quadrant is, , 13. The area of a circular path of uniform width d, surrounding a circular region of radius r is, (a) pd (2r + d), (b) p ^2r + d h r, (c) p ^d + r h r, (d) p ^d + r h d, , Sol : www.cbse.site/ma/lm113, 14. In a circle of radius 14 cm, an arc subtends an angle, of 45c at the centre, then the area of the sector is, (a) 71 cm2, (b) 76 cm2, (a) 11 cm, , (c) 77 cm2, , (b) 18 cm, , (d) 154 cm2, , (c) 25 cm, , Sol : www.cbse.site/ma/lm114, , (d) 36 cm, Sol : www.cbse.site/ma/lm109, 10. If the circumference of a circle increases from 4 p to, 8 p , then its area is, (a) halved, , 15. If the sum of the areas of two circles with radii R1, and R2 is equal to the area of a circle of radius R, , then, (a) R1 + R2 = R, (b) R12 + R22 = R2, , (b) doubled, , (c) R1 + R2 < R, , (c) tripled, , (d) R12 + R22 < R2, , (d) quadrupled, , Sol : www.cbse.site/ma/lm115, , Sol : www.cbse.site/ma/lm110, 11. If the radius of a circle is diminished by 10%, then its, area is diminished by, (a) 10%, , 16. If the sum of the circumferences of two circles with, radii R1 and R2 is equal to the circumference of a, circle of radius R , then, (a) R1 + R2 = R, , (b) 19%, , (b) R1 + R2 > R, , (c) 36%, , (c) R1 + R2 > R, , (d) 20%, , (d) R1 + R2 < R, , Sol : www.cbse.site/ma/lm111, , Sol : www.cbse.site/ma/lm116, , 12. If the perimeter of a semi-circular protractor is 36, , 17. If the circumference of a circle and the perimeter of
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 7, , Areas Related to Circles, , a square are equal, then, (a) Area of the circle = Area of the square, (b) Area of the circle > Area of the square, (c) Area of the circle < Area of the square, (d) Nothing definite can be said about the relation, between the areas of the circle and square, Sol : www.cbse.site/ma/lm117, , Page 143, , 22. The diameter of a circle whose area is equal to the, sum of the areas of the two circles of radii 24 cm and, 7 cm is, (a) 31 cm, (b) 25 cm, (c) 62 cm, (d) 50 cm, Sol : www.cbse.site/ma/lm122, , 18. If the perimeter of a circle is equal to that of a square,, then the ratio of their areas is, (a) 22: 7, (b) 14: 11, (c) 7: 22, (d) 11: 14, Sol :, Sol : www.cbse.site/ma/lm118, 19. It is proposed to build a single circular park equal, in area to the sum of areas of two circular parks of, diameters 16 m and 12 m in a locality. The radius of, the new park would be, (a) 10 m, (b) 15 m, (c) 20 m, (d) 24 m, Sol : www.cbse.site/ma/lm119, 20. The radius of a circle whose circumference is equal, to the sum of the circumferences of the two circles of, diameters 36 cm and 20 cm is, (a) 56 cm, (b) 42 cm, (c) 28 cm, , 23. Assertion : In a circle of radius 6 cm, the angle of a, sector 60c. Then the area of the sector is 18 76 cm2 ., Reason : Area of the circle with radius r is pr2 ., (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., (c) Assertion (A) is true but reason (R) is false., (d) Assertion (A) is false but reason (R) is true., Sol : www.cbse.site/ma/lm123, 24. Assertion : If the circumference of a circle is 176 cm,, then its radius is 28 cm., Reason : Circumference = 2p # radius, (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., (c) Assertion (A) is true but reason (R) is false., (d) Assertion (A) is false but reason (R) is true., Sol : www.cbse.site/ma/lm124, , (d) 16 cm, Sol : www.cbse.site/ma/lm120, 21. The area of the square that can be inscribed in a, circle of radius 8 cm is, (a) 256 cm2, (b) 128 cm2, (c) 64 2 cm2, (d) 64 cm2, Sol : www.cbse.site/ma/lm121, , 25. Assertion : If the outer and inner diameter of a, circular path is 10 m and 6 m then area of the path, is 16p m2 ., Reason : If R and r be the radius of outer and inner, circular path, then area of path is p ^R2 - r2h ., (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 144, , Areas Related to Circles, assertion (A)., , (c) Assertion (A) is true but reason (R) is false., (d) Assertion (A) is false but reason (R) is true., Sol : www.cbse.site/ma/lm125, 26. Assertion : If a wire of length 22 cm is bent in the, shape of a circle, then area of the circle so formed is, 40 cm2 ., Reason : Circumference of the circle = length of the, wire., (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., , (d) 225 sq cm, Sol : www.cbse.site/ma/lm129, 30. What is the area of the sector of a circle of radius 6, cm whose central angle is 30c? (Take p = 3.14 ), (a) 9.42 cm2, (b) 18.84 cm2, (c) 6.32 cm2, (d) 12.64 cm2, Sol : www.cbse.site/ma/lm130, 31. What is the perimeter of the sector with radius, 10.5 cm and sector angle 60º?, (a) 48 cm, (b) 96 cm, , (c) Assertion (A) is true but reason (R) is false., , (c) 64 cm, , (d) Assertion (A) is false but reason (R) is true., , (d) 32 cm, , Sol : www.cbse.site/ma/lm126, , Sol : www.cbse.site/ma/lm131, , 27. The radii of two circles are 19 cm and 9 cm respectively., What is the radius of a circle of a circle which has, circumference equal to sum of their circumferences., (a) 14 cm, , 32. If the circumferences of two concentric circles forming, a ring are 88 cm and 66 cm respectively, the width, of the ring will be, (a) 7 cm, , (b) 28 cm, , (b) 3.5 cm, , (c) 56 cm, , (c) 7p cm, , (d) 32 cm, , (d) 3p cm, , Sol : www.cbse.site/ma/lm127, , Sol : www.cbse.site/ma/lm132, , 28. The minute hand of a clock is 12 cm long. What is, the area of the face of the clock described by the, minute hand in 35 minutes., (a) 148 cm2, , 33. Two coins of diameter 2 cm and 4 cm respectively, are kept one over the other as shown in the figure,, what is the area of the shaded ring shaped region in, square cm?, , (b) 264 cm2, (c) 132 cm2, (d) 198 cm2, Sol : www.cbse.site/ma/lm128, 29. The radius of a circle is 17.5 cm. What is the area of, the sector of the circle enclosed by two radii and an, arc 44 cm in length ?, (a) 190 sq cm, (b) 770 sq cm, (c) 385 sq cm, , Chap 7, , (a) 3p sq cm, (b) 6p sq cm, (c) 3 sq cm
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 7, , Areas Related to Circles, , (d) 6 sq cm, , Page 145, , taken 3, what is the perimeter of the shaded region?, , Sol : www.cbse.site/ma/lm133, 34. The diameter of two circle with centre A and B, are 16 cm and 30 cm respectively. If area of another, circle with centre C is equal to the sum of areas of, these two circles, the circumference of the circle with, centre C will be, (a) 17p cm, (b) 90p cm, , (a) 58 cm, , (c) 34p cm, , (b) 116 cm, , (d) 45p cm, , (c) 29 cm, , Sol : www.cbse.site/ma/lm134, , (d) 156 cm, Sol : www.cbse.site/ma/lm138, , 35. If diameter of a wheel is 1.26 m, what the distance, covered in 500 revolutions?, (a) 1.38 km, (b) 4.64 km, , 39. What is the area of circle that can be inscribed in a, square of side 10 cm?, (a) 25p cm2, , (c) 2.46 km, , (b) 50p cm2, , (d) 1.98 km, , (c) 25 cm2, , Sol : www.cbse.site/ma/lm135, , (d) 50 cm2, Sol : www.cbse.site/ma/lm139, , 36. What is the area of the largest square that can be, inscribed in a circle of radius 12 cm.?, (a) 144 cm2, (b) 288 cm2, (c) 132 cm2, (d) 264 cm2, Sol : www.cbse.site/ma/lm136, 37. What is the perimeter of a sector of a circle whose, central angle is 90º and radius is 7 cm?, (a) 50p cm, (b) 25p cm, (c) 50 cm, (d) 25 cm, Sol : www.cbse.site/ma/lm137, , 40. A thin wire is in the shape of a circle of radius 77, cm. It is bent into a square. What is the side of the, square ( p = 227 )?, (a) 168 cm, (b) 242 cm, (c) 121 cm, (d) 336 cm, Sol : www.cbse.site/ma/lm140, 41. What is the diameter of a circle whose area is equal, to the sum of the areas of two circles of radii 40 cm, and 9 cm?, (a) 82 cm, (b) 41 cm, (c) 62 cm, (d) 31 cm, , 38. In the given figure, AB is the diameter where, AP = 12 cm and PB = 16 cm. If the value of p is, , Sol : www.cbse.site/ma/lm141, 42. If the perimeter and the area of the circle are
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 146, , Areas Related to Circles, , numerically equal, what is the radius of the circle?, (a) 1, , in a circle of radius 8 cm?, (a) 392 cm2, , (b) 2, , (b) 128 cm2, , (c) 4, , (c) 256 cm2, , (d) 8, , (d) 196 cm2, , Sol : www.cbse.site/ma/lm142, , Sol : www.cbse.site/ma/lm146, , 43. What is the area of the circle that can be inscribed, in a square of side 8 cm?, (a) 32p cm2, (b) 16p cm2, (c) 21p cm2, (d) 42p cm2, Sol : www.cbse.site/ma/lm143, 44. If the radius of a circle is doubled, what about its, area?, (a) Area is 2 times, (b) Area is 4 times, (c) Area is half, (d) does not change, Sol : www.cbse.site/ma/lm144, , Chap 7, , 47. A paper is in the form of a rectangle ABCD in which, AB = 20 cm, BC = 14 cm. A semi-circular portion, with BC as diameter is cut off. What is the area of, the part? Use p = 227 ., (a) 293 cm2, (b) 203 cm2, (c) 406 cm2, (d) 486 cm2, Sol : www.cbse.site/ma/lm147, 48. If the difference between the circumference and the, radius of a circle is 37 cm, then using p = 227 , what is, the circumference of the circle?, (a) 44p cm, (b) 44 cm, (c) 22 cm, (d) 22p cm, , 45. In given fig., O is the centre of a circle. If the area of, the sector OAPB is 365 times the area of the circle,, what is the value of x., , Sol : www.cbse.site/ma/lm148, 49. Two circular pieces of equal radii and maximum areas,, touching each other are cut out from a rectangular, cardboard of dimensions 14 cm # 7 cm. What is the, area of the remaining cardboard? ^Use p = 227 h, (a) 21p cm2, (b) 21 cm2, (c) 42p cm2, (d) 42 cm2, Sol : www.cbse.site/ma/lm149, , (a) 50°, (b) 60°, (c) 70°, (d) 80°, Sol : www.cbse.site/ma/lm145, 46. What is the area of the square that can be inscribed, , 50. The diameters of the front and rear wheels of a, tractor are 80 cm and 200 cm respectively. What, is the number of revolutions of rear wheel to cover, the distance which the front wheel covers in 800, revolutions?, (a) 320, (b) 420, (c) 820
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 7, , Areas Related to Circles, , (d) 640, Sol : www.cbse.site/ma/lm150, , Page 147, , is a square of side 21 cm and APB and CPD are, semicircle. Use p = 227 ?, , 51. What is the area of minor segment of a circle of, radius 14 cm, when its centre angle is 60c. Also, What is the area of corresponding major segment?, Use p = 227 ., (a) 598 cm2, (b) 492 cm2, (c) 693 cm2, (d) 765 cm2, Sol : www.cbse.site/ma/lm151, , (a) 108 cm, (b) 216 cm, (c) 432 cm, , 52. In given figure arcs are drawn by taking vertices, A, B and C of an equilateral triangle of side 10, cm, to intersect the side BC , CA and AB at their, respective mid-points D, E and F . What is the area, of the shaded region? (Use p = 3.14 )., , (d) 96 cm, Sol : www.cbse.site/ma/lm154, 55. What is the area of the corresponding major sector, of a circle of radius 28 cm and the central angle 45c?, (a) 4312 cm2, (b) 2156 cm2, (c) 1256 cm2, (d) 3412 cm2, Sol : www.cbse.site/ma/lm155, , (a) 180 cm2, (b) 260 cm2, , 56. In the given figure, AOB is a sector of angle 60c of a, circle with centre O and radius 17 cm. If AP = OB, and AP = 15 cm, what is the area of the shaded, region?, , (c) 39.25 cm2, (d) 79.5 cm2, Sol : www.cbse.site/ma/lm152, 53. If the perimeter of a protractor is 72 cm, what is its, area? Use p = 227, (a) 616 cm2, (b) 308 cm2, (c) 412 cm2, , (a) 60.5 cm2, , (d) 824 cm2, , (b) 126 cm2, , Sol : www.cbse.site/ma/lm153, , (c) 91.4 cm2, , 54. What is the perimeter of the shaded region if ABCD, , (d) 78 cm2, Sol : www.cbse.site/ma/lm156
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 148, , Areas Related to Circles, , 57. What is the area of shaded region shown in the given, figure? Here a circular arc of radius 6 cm has been, drawn with vertex O of an equilateral triangle OAB, of side 12 cm as centre., , Chap 7, , 16.8 cm. What is the radius of the circle? Use p =, (a) 6.4 cm, , 22, 7, , ., , (b) 3.92 cm, (c) 9.32 cm, (d) 7.31 cm, Sol : www.cbse.site/ma/lm159, 60. A momento is made as shown in the figure. Its base, PBCR is silver plate from the front side. What is the, area which is silver plated. Use p = 227 ., , (a) 12 3 + 142, 7, (b) 24 3 - 142, 7, (c) 36 3 + 528, 7, (d) 24 3 + 142, 7, Sol : www.cbse.site/ma/lm157, 58. In the given figure, what is the area of the shaded, region, enclosed between two concentric circles of, radii 7 cm and 14 cm where +AOC = 40c? Use, p = 227 ., , (a) 18 cm2, (b) 23 cm2, (c) 11.5 cm2, (d) 29 cm2, Sol : www.cbse.site/ma/lm160, 61. In given figure APB and AQP are semi-circle, and, AO = OB . If the perimeter of the figure is 47 cm,, what is the area of the shaded region? Use p = 227 ., , (a) 165 cm2, (b) 189 cm2, (c) 210 cm2, (d) 411 cm2, Sol : www.cbse.site/ma/lm158, , (a) 231 cm2, (b) 155.5 cm2, (c) 55.5 cm2, , 59. The circumference of a circle exceeds the diameter by, , (d) 111 cm2
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 7, , Areas Related to Circles, , Sol : www.cbse.site/ma/lm161, , Page 149, , centre of the circle? (Take p = 3.14 ), , 62. In the figure, TACB is in the semi-circle. What is, the area of shaded region given that AB = 42 cm?, , (a) 107 cm2, (b) 210 cm2, (a) 204 cm, , 2, , (b) 224 cm, , 2, , (c) 244 cm, , 2, , (d) 252 cm2, Sol : www.cbse.site/ma/lm162, 63. In the given figure AB and CD are two diameters of, a circle perpendicular to each other and OD is the, diameter of the smaller circle. If OA = 7 cm, what is, the area of the shaded region?, , (c) 198 cm2, (d) 220 cm2, Sol : www.cbse.site/ma/lm164, 65. In the given figure, AB is the diameter of the largest, semi-circle. AB = 21 cm, AM = MN = NB . Semicircle are drawn with AM, MN and NB as shown., What is the area of the shaded region? Use p = 227, , (a) 105 cm2, (b) 210.5 cm2, (c) 192.5 cm2, (a) 133 cm2, (b) 66.5 cm2, , (d) 225 cm2, Sol : www.cbse.site/ma/lm165, , (c) 76 cm2, (d) 108 cm2, Sol : www.cbse.site/ma/lm163, 64. What is the area of the shaded region in figure, if, BC = BD = 8 cm, AC = AD = 15 cm and O is the, , 66. In the given figure, TPQR is an equilateral triangle, of side 8 cm and D, E, F are centres of circular arcs,, each of radius 4 cm. What is the area of shaded
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 150, , Areas Related to Circles, , region. (Use p = 3.14 ) and 3 = 1.732, , Chap 7, , 69. Adjoining fig, ABCD is a trapezium with AB | | DC, and +BCD = 30c. Fig. BGEC is a sector of a circle, with centre C and AB = BC = 7 cm, DE = 4 cm, and BF = 3.5 cm, then What is the area of the, shaded region? Use p = 227 ., , (a) 6.8 cm2, (b) 8.4 cm2, (c) 4.8 cm2, (d) 2.6 cm2, Sol : www.cbse.site/ma/lm166, , (a) 24.67 cm2, (b) 12.34 cm2, (c) 28.14 cm2, (d) 18.67 cm2, Sol : www.cbse.site/ma/lm169, , 67. In the given figure sectors of two concentric circles of, radii 7 cm and 3.5 cm are given. What is the area of, shaded region? Use p = 227 ., , 70. In the given figure ABCD is a trapezium with, AB | | DC, AB = 18 cm and DC = 32 cm and the, distance between AB and AC is 14 cm. If arcs of, equal radii 7 cm taking A, B, C and D have been, drawn, then what is the area of the shaded region?, , (a) 9.62 cm2, (b) 18.14 cm2, (c) 21.34 cm2, (d) 11.68 cm2, Sol : www.cbse.site/ma/lm167, , (a) 92 cm2, (b) 252 cm2, , 68. A wire when bent in the form of an equilateral, triangle encloses an area of 121 3 cm2. If the wire is, bent in the form of a circle, what is the area enclosed, by the circle? Use p = 227 ., (a) 246.5 cm2, (b) 620.5 cm2, (c) 921.5 cm2, (d) 346.5 cm2, Sol : www.cbse.site/ma/lm168, , (c) 196 cm2, (d) 310 cm2, Sol : www.cbse.site/ma/lm170, 71. In given figure, ABCD is a square with side 2 2, cm and inscribed in a circle. What is the area of the
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 7, , Areas Related to Circles, , shaded region? (Use p = 3.14 )., , p = 3.14 ), , (a) 9.2 cm2, , (a) 28.4 cm2, , (b) 4.6 cm, , 2, , (c) 12.4 cm, (d) 8.4 cm, , Page 151, , (b) 42.4 cm2, 2, , 2, , Sol : www.cbse.site/ma/lm171, 72. In given figure arcs drawn with centres A, B , C and, D intersect in pairs at midpoint P , Q , R and S of, the sides AB , BC , CD and DA respectively of a, square ABCD of side 12 cm. What is the area of the, shaded region? [Use p = 3.14 ], , (c) 36.3 cm2, (d) 52.4 cm2, Sol : www.cbse.site/ma/lm173, 74. Four equal circles are described at the four corners of, a square so that each touches two of the others. The, shaded area enclosed between the circle is 247 cm2., What is the radius of each circle?, (a) 2 cm, (b) 4 cm, (c) 6 cm, (d) 1 cm, Sol : www.cbse.site/ma/lm174, , (a) 42 cm2, (b) 62 cm2, (c) 31 cm2, , 75. An elastic belt is placed around the rim of a pulley, of radius 5 cm. From one point C on the belt elastic, belt is pulled directly away from the centre O of the, pulley until it is at P, 10 cm from the point O. What, is the length of the belt that is still in contact with, the pulley.(Use p = 3.14 and 3 = 1.73 ), , (d) 56 cm2, Sol : www.cbse.site/ma/lm172, 73. In the given figure, O is the centre of circle such, that diameter AB = 13 cm and AC = 12 cm. BC, is joined. What is the area of the shaded region. (, , (a) 21 cm2, (b) 34 cm2, (c) 28 cm2, (d) 32 cm2
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 152, , Areas Related to Circles, , Sol : www.cbse.site/ma/lm175, , Chap 7, , (c) 78.4 cm2, (d) 50.6 cm2, , 76. In previous question what is the shaded area?, (a) 17 cm2, (b) 34 cm2, (c) 25 cm2, (d) 39 cm2, Sol : www.cbse.site/ma/lm175, , Sol : www.cbse.site/ma/lm177, 79. In figure, PQRS is square lawn with side PQ =, 42 metre. Two circular flower beds are there on the, sides PS and QR with centre at O, the intersection, of its diagonals. What is the total area of the two, flower beds (shaded parts)?, , 77. Given figure depicts a racing track whose left and, right ends are semi-circular. The distance between, the two inner parallel line segments is 60 m and, they are each 106 m long. If the track is 10 m wide, everywhere, what is the area of the track?, , (a) 252 m2, (b) 504 m2, (c) 298 m2, (d) 596 m2, (a) 3260 m2, (b) 1630 m2, (c) 3390 m2, (d) 2490 m2, Sol : www.cbse.site/ma/lm176, !!!, !, 78. In the given figure APD, AQB , BRC and CSD , are, semi-circles of diameter 14 cm, 3.5 cm, 7 cm and, 3.5 cm respectively. What is the area of the shaded, region? Use p = 227 ., , Sol : www.cbse.site/ma/lm178, 80. Two circular beads of different sizes are joined, together such that the distance between their centres, is 14 cm. If sum of their areas is 130p cm2, what is, the radius of each bead?, (a) 2 cm, (b) 3 cm, (c) 4 cm, (d) 5 cm, Sol : www.cbse.site/ma/lm179, 81. In the fig., ABC is a right-angle triangle, +B = 90c,, AB = 28 cm and BC = 21 cm. With AC as, diameter, a semi-circle is drawn and with BC as, radius a quarter circle is drawn. What is the area of, , (a) 98.8 cm2, (b) 86.6 cm2
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 7, , Areas Related to Circles, , the shaded region?, , Page 153, , figure?, , (a) 148 cm2, (b) 296 cm2, (a) 596.75 cm2, (b) 428.75 cm2, (c) 520.75 cm2, , (c) 126 cm2, (d) 252 cm2, Sol : www.cbse.site/ma/lm182, , (d) 496.75 cm2, Sol : www.cbse.site/ma/lm180, 82. In the figure, ABC is a right angled triangle right, angled at +A . if AB = 6 cm, BC = 10 cm and O is, the centre of the circle of the triangle ABC , what is, the area of the shaded region ?, , 84. In given figure two circular flower beds have been, shown on two sides of a square lawn ABCD of side, 56 m. If the centre of each circular flower bed is the, point of intersection O of the diagonals of the square, lawn, what is the sum of the areas of the lawn and, flower beds?, , (a) 22.6 cm2, (b) 18.9 cm2, (c) 11.5 cm2, (d) 11.43 cm2, Sol : www.cbse.site/ma/lm181, , (a) 1016 m2, (b) 3014 m2, (c) 4032 m2, (d) 2016 m2, , 83. A round thali has 2 inbuilt triangular for serving, vegetables and a separate semi-circular area for, keeping rice or chapati. If radius of thali is 21 cm,, what is the area of the thali that is shaded in the, , Sol : www.cbse.site/ma/lm183, , 85. In fig., what is the area of the shaded region? Use
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 154, p=, , Areas Related to Circles, 22, 7, , ., , Chap 7, , Sol : www.cbse.site/ma/lm186, 88. A park is of the shape of a circle of diameter 7 m., It is surrounded by a path of width of 0.7 m. If its, cost is Rs.110 per sq. m. what is the expenditure of, cementing the path?, (a) ` 1863, (b) ` 3614, (c) ` 1261, (d) ` 2148, Sol : www.cbse.site/ma/lm187, , (a) 196.75 cm2, (b) 253.75 cm2, (c) 202.75 cm2, (d) 148.75 cm2, , 89. In the given figure, TABC is a right angled triangle, in which +A = 90c. Semicircles are drawn on, AB, AC and BC as diameters. What is the area of, the shaded region?, , Sol : www.cbse.site/ma/lm184, 86. In given figure AC = BD = 7 cm and AB = CD = 1.75, cm. Semi-circles are drawn as shown in the figure., What is the area of the shaded region? Use p = 227 ., , (a) 12 cm2, (b) 6 cm2, (c) 18 cm2, (d) 9 cm2, Sol : www.cbse.site/ma/lm188, (a) 72 cm2, (b) 36 cm2, (c) 18 cm2, (d) 54 cm2, , 90. In the given figure, two concentric circle with centre, O have radii 21 cm and 42 cm. If +AOB = 60c,, what is the area of the shaded region? Use p = 227 ., , Sol : www.cbse.site/ma/lm185, 87. Two circles touch internally. The sum of their areas, is 116p and the difference between their centres is 6, cm. What are the radii of the circles?, (a) 10 cm and 4 cm, (b) 6 cm and 8 cm, (c) 4 cm and 8 cm, (d) 6 cm and 4 cm, , (a) 3465 cm2
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 7, , Areas Related to Circles, , (b) 1236 cm2, (c) 4168 cm, , 2, , (d) 1968 cm2, , Page 155, , 93. A square OABC is inscribed in a quadrant OPBQ, of a circle. If OA = 20 cm, what is the area of the, shaded region. [Use p = 3.14 ], , Sol : www.cbse.site/ma/lm189, 91. In the given figure, O is the centre of the circle with, AC = 24 cm, AB = 7 cm and +BOD = 90c. What, is the area of the shaded region?, , (a) 148 cm2, (b) 228 cm2, (c) 296 cm2, (d) 112 cm2, Sol : www.cbse.site/ma/lm192, (a) 185 cm2, (b) 284 cm2, (c) 105 cm2, (d) 198 cm2, , 94. In given figure ABPC is a quadrant of a circle of, radius 14 cm and a semicircle is drawn with BC as, diameter. What is the are of the shaded region?, , Sol : www.cbse.site/ma/lm190, 92. In the given figure, ABCD is a rectangle of dimensions, 21 cm # 14 cm. A semicircle is drawn with BC as, diameter. What is the area and the perimeter of the, shaded region in the figure?, , (a) 56 cm2, (b) 112 cm2, (c) 42 cm2, (d) 84 cm2, Sol : www.cbse.site/ma/lm193, , (a) 217 cm2, (b) 434 cm2, (c) 314 cm2, (d) 506 cm2, Sol : www.cbse.site/ma/lm191, , 95. In the figure OABC is a quadrant of a circle of, radius 7 cm. If OD = 4 cm, what is the area of
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 156, , Areas Related to Circles, , Chap 7, , shaded region?, , What is the area of the shaded region? Use p =, , (a) 55 cm2, , (a) 42 cm2, , (b) 24.5 cm, , 2, , ., , (b) 84 cm2, , 2, , (c) 48 cm2, , (d) 35 cm2, , (d) 96 cm2, , Sol : www.cbse.site/ma/lm194, , Sol : www.cbse.site/ma/lm196, , (c) 49 cm, , 22, 7, , 96. Figure shows two arcs PAQ and PQB . Arc PAQ is, a part of circle with centre O and radius OP while, arc PBQ is a semi-circle drawn on PQ as diameter, with centre M . If OP = PQ = 10 cm the area of, shaded region will be, , 98. In the given figure DACB is a quadrant of a circle, with centre O and radius 3.5 cm. If OD = 2 , the area, of the shaded region will be, , (a) 12.125 cm, (b) 6.125 cm, (c) 8.5 cm, (a) 25 _ 3 - p6 i cm, (b) 50 _ 3 - p6 i cm, , 2, 2, , (c) 50 _ 3 + p6 i cm2, (d) 25 _ 3 + p6 i cm2, Sol : www.cbse.site/ma/lm195, , 97. In fig. ABCD is a square of side 14 cm. Semi-circle, are drawn with each side of square as diameter., , (d) 10.25 cm, Sol : www.cbse.site/ma/lm197, 99. The long and short hands of a clock are 6 cm and 4, cm long respectively. What is the sum of distances, travelled by their tips in 24 hours. (Use p = 3.14 ), (a) 810 cm, (b) 955 cm, (c) 620 cm, (d) 710 cm, Sol : www.cbse.site/ma/lm198
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 7, , Areas Related to Circles, , 100. As ABDC is a quadrant of a circle of radius 28, cm and a semi-circle BEC is drawn with BC as, diameter. What is the area of the shaded region?, Use p = 227 ., , Page 157, , region will be, , (a) 25.6 cm2, (b) 50.6 cm2, (a) 392 cm, , 2, , (b) 196 cm, , 2, , (c) 208 cm2, , (c) 12.375 cm2, (d) 28.375 cm2, Sol : www.cbse.site/ma/lm201, , (d) 416 cm2, Sol : www.cbse.site/ma/lm199, 101. In fig., ABCDEF is any regular hexagon with, different vertices A, B, C, D, E and F as the centres, of circle with same radius r are drawn. What is the, area of the shaded portion?, , COMPETENCEY BASED QUESTIONS, , Direction For Question : (103-106), Japanese fans are made of paper on a bamboo frame,, usually with a design painted on them. A Japanese, Fan symbolises friendship, respect and good wishes, and are given on special occasions, as well as to, help cool you down in hot weather. The fan is an, immediately recognizable icon of Japanese culture., Today they remain an important artistic medium, and stylish fashion accessory., , (a) pr2, (b) 2pr2, (c) 4pr2, (d) 8pr2, Sol : www.cbse.site/ma/lm200, 102. Three semicircles each of diameter 3 cm, a circle of, diameter 4.5 cm and a semicircle of radius 4.5 cm, are drawn in the given figure. The area of the shaded, , Lavanya hold a Japanease folding fan in her hand as, shown in figure. It is shapded like a sector of a circle., The inner and outer raddi are 14 cm and 21 cm. The, fan has three colour material.
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 158, , Areas Related to Circles, , Chap 7, , Sol : www.cbse.site/ma/lm202, , 103. If the region containing the pink colour makes an, angle of q2 = 72c at the centre, what is the area of, the region having pink colour?, (a) 214 cm2, , Direction For Question : (107-110), It is a clock that uses a pendulum, a swinging weight,, as its timekeeping element. From its invention in 1656, by Christiaan Huygens, the pendulum clock was the, world’s most precise timekeeper, accounting for its, widespread use. Their greater accuracy allowed for, the faster pace of life which was necessary for the, Industrial Revolution. The home pendulum clock, was replaced by less-expensive, synchronous, electric, clocks in the 1930s and 40s. Pendulum clocks are now, kept mostly for their decorative and antique value., , (b) 154 cm2, (c) 275 cm2, (d) 196 cm2, Sol : www.cbse.site/ma/lm202, 104. If the region containing the orange colour makes an, angle of q1 = 54c at the centre, what is the area of, the region having orange colour?, (a) 175.5 cm2, (b) 115.5 cm2, (c) 198.5 cm2, (d) 210.6 cm2, Sol : www.cbse.site/ma/lm202, 105. If the region containing the red colour makes an, angle of q1 = 45c at the centre, what is the perimeter, of the region having red colour?, (a) 41.5 cm, , Dhriti bought a pendulum clock for her living room., the clock contains a small pendulam of lenght 45 cm., the minute hand and hour hand of the clock are 9 cm, and 6 cm long respectively., 107. What is the area swept by the minute hand in 10, minutes?, (a) 72.4 cm2, (b) 59.4 cm2, (c) 86.4 cm2, , (b) 28.9 cm, , (d) 68.4 cm2, , (c) 56.5 cm, , Sol : www.cbse.site/ma/lm203, , (d) 62.4 cm, Sol : www.cbse.site/ma/lm202, 106. What is the area of the region having radius 14 cm?, (a) 324.6 cm2, (b) 292.2 cm2, (c) 262.2 cm2, (d) 310.4 cm2, , 108. What is the angle described by hour hand in 10, minutes?, (a) 5°, (b) 10°, (c) 12°, (d) 14°, Sol : www.cbse.site/ma/lm203
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 7, , Areas Related to Circles, , 109. What is the distance covered by the tip of hour hand, in 3.5 hours?, (a) 11 cm, , fabric around each cushion., (a) 28962 cm2, (b) 24332 cm2, , (b) 12 cm, , (c) 18164 cm2, , (c) 14 cm, , (d) 16346 cm2, , (d) 18 cm, , Page 159, , Sol : www.cbse.site/ma/lm203, , Sol : www.cbse.site/ma/lm203, 110. If the tip of pendulum covers a distance of 66 cm in, complete oscillation, what is the angle described by, pendulum at the centre?, (a) 68°, (b) 42°, (c) 56°, (d) 48°, Sol : www.cbse.site/ma/lm203, , Direction For Question : (112-113), A swimming pool or simply pool is a structure, designed to hold water to enable swimming or other, leisure activities. Pools can be built into the ground, (in-ground pools) or built above ground. In-ground, pools are most commonly constructed from materials, such as concrete, natural stone, metal, plastic, or, fiberglass, and can be of a custom size and shape or, built to a standardized size, the largest of which is, the Olympic-size swimming pool., , 111. Upholstery is the physical act of stuffing seats and, furniture with webbing, padding, springs, foam, or, cushions to furniture and covering it with upholstery, fabric. The word upholstery comes from the Middle, English word upholder, which referred to an artisan, who help up their goods. A person who works with, upholstery is an upholsterer., , The area of a circular pool is 616 square metre. The, owner wants to replace the tiling at the edge of the, pool., 112. The edging is 25 cm wide, so she plans to use 6-inch, square tiles to form a continuous inner edge. How, many tiles will she need to purchase?, (a) 704, (b) 816, (c) 972, (d) 516, Eshika wants to cover the cushions of her papasan, chair with a different fabric. If there are seven circular, cushions that are the same size with a diameter of, 32 cm, around a center cushion with a diameter of 46, cm, find the area of fabric that she will need to cover, both sides of the cushions. Allow an extra 5 cm of, , Sol : www.cbse.site/ma/lm204, 113. Once the square tiles are in place around the pool,, there will be extra space between the tiles. What, shape of tile will best fill this space? How many tiles
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 160, , Areas Related to Circles, , Chap 7, , of this shape should she purchase?, (a) 704, (b) 703, (c) 701, (d) 702, Sol : www.cbse.site/ma/lm204, 114. Varsha dining room table has hardwood around the, outside. The outer dimension of table is 135 cm by 90, cm. What is the area of wood around the edge of the, table? The table has wooden edge of 7 cm around it., , A water sprinkler is set to shoot a stream of water a, distance of 21 m and rotate through an angle of 80c ., 115. What is the area of the lawn it waters?, (a) 308 m2, (b) 290 m2, (c) 270 m2, (d) 378 m2, Sol : www.cbse.site/ma/lm206, 116. For r = 28 m, what angle is required to water equal, to previous area?, (a) 45°, (b) 25°, (c) 55°, , (a) 2164 cm, , 2, , (b) 3304 cm, , 2, , (d) 35°, Sol : www.cbse.site/ma/lm206, , (c) 2814 cm2, (d) 3216 cm2, Sol : www.cbse.site/ma/lm205, , Direction For Question : (115-116), An irrigation sprinkler (also known as a water, sprinkler or simply a sprinkler) is a device used to, irrigate agricultural crops, lawns, landscapes, golf, courses, and other areas. Irrigation sprinklers can, be used for residential, industrial, and agricultural, usage. It is useful on uneven land where sufficient, water is not available as well as on sandy soil., , Direction For Question : (117-119), A motion sensor (or motion detector) is an electronic, device that is designed to detect and measure, movement. Motion sensors are used primarily in, home and business security systems, but they can, also be found in phones, paper towel dispensers,, game consoles, and virtual reality systems., , A motion detector can detect movement up to 24 m
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 7, , Areas Related to Circles, , away through an angle of q = 70c ., 117. What area can the motion detector monitor?, (a) 352 m2, (b) 216 m2, (c) 398 m2, (d) 272 m2, Sol : www.cbse.site/ma/lm207, 118. What angle is required to monitor 50% more area?, (a) 105°, , 120. Through what angle has the roller turned after being, pulled across 11 meter of yard?, (a) 6 rotation and 90c, (b) 5 rotation and 90c, (c) 4 rotation and 50c, (d) 6 rotation and 50c, Sol : www.cbse.site/ma/lm208, 121. If it is turned through by 3 revolution and 45c , What, is the length, that the roller will press?, (a) 6.5 m, , (b) 95°, , (b) 5.5 m, , (c) 65°, , (c) 13 m, , (d) 135°, , (d) 11 m, , Sol : www.cbse.site/ma/lm207, , Sol : www.cbse.site/ma/lm208, , 119. For q = 91c what range is required for the detector, to monitor 30% more area?, (a) 28 m, (b) 32 m, (c) 24 m, (d) 38 m, , Page 161, , Direction For Question : (122-124), It is a device for hauling or lifting; made up of a rope,, cable or chain wound around a horizontal rotating, drum and turned by a crank or motor and typically, mounted at the rear of a towing vehicle., , Sol : www.cbse.site/ma/lm207, , Direction For Question : (120-121), Sod, also known as turf, is grass. When harvested, into rolls it is held together by its roots and a thin, layer of soil. Sod is typically used for lawns, golf, courses, and sports stadiums around the world., , A large winch with a radius of 30 cm winds in 99 cm, of cable., 122. Through what angle has it turned?, (a) 141°, (b) 189°, (c) 151°, (d) 149°, When new sod is laid, a heavy roller is used to press, the sod down to ensure good contact with the ground, beneath. The radius of the roller is 28 cm., , Sol : www.cbse.site/ma/lm209
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 162, , Areas Related to Circles, , 123. If it is turned through an angle of 126c , What is the, length, that the winch will wind?, (a) 56 cm, , Chap 7, , scale., , (b) 66 cm, (c) 46 cm, (d) 76 cm, Sol : www.cbse.site/ma/lm209, 124. Windshield wipers are a small part of your car, but, they have a big impact on your driving and overall, safety. They remove rain, snow, dirt, pollen, frost, and other debris quickly and smoothly at the push, of a button. The windshield wiper motor moves the, windshield wiper arms across the windshield. The, metal or hard plastic arms drag a thin rubber (or, silicone) blade across the windshield to clear away, water, giving you a better view of the road., , The pointer on a voltmeter is 7 centimeters in length, (see figure). What is the angle through which the, pointer rotates when it moves 5.5 centimeters on the, scale?, (a) 30°, (b) 45°, (c) 60°, (d) 75°, Sol : www.cbse.site/ma/lm211, , The armature for the rear windshield wiper has a, length of 63 cm, with a rubber wiper blade that is 42, cm long. What area of my rear windshield is cleaned, as the armature swings back-and-forth through an, angle of ?, (a) 5164.5 cm2, (b) 2117.5 cm2, (c) 3146.5 cm2, (d) 4162.5 cm2, Sol : www.cbse.site/ma/lm210, 125. A voltmeter is an instrument used for measuring, electric potential difference between two points in, an electric circuit. When current carrying conductor, placed in a magnetic field, a mechanical force acts on, the conductor, if it is attached to a moving system,, with the coil movement, the pointer moves over the, , 126. It is an electrically powered appliance that is used to, lift, lower and even move heavy or awkward objects., They are mainly used to alleviate potential strain, and injury on any person who needs to lift a heavy, object or where the object is just much too heavy for, a human to lift unaided.
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 7, , Areas Related to Circles, , An electric hoist is being used to lift a beam (see, figure). The diameter of the drum on the hoist is 42, cm, and the beam must be raised 22 cm. What is, the number of degrees through which the drum must, rotate., (a) 30°, , Page 163, , 1.75 meter is lowered into the water. If the current, causes the wheel to rotate at a speed of 10 revolutions, per minute, what is the speed of the current?., , (b) 45°, (c) 60°, (d) 75°, Sol : www.cbse.site/ma/lm212, 127. A pulley is a wheel with a groove along its edge for, holding a rope or cable. It is a simple machine that, helps change the direction and point of application, of a pulling force. Pulleys are used singly or in, combination to transmit energy and motion., , (a) 3.3 kmph, (b) 4.4 kmph, (c) 6.6 kmph, (d) 5.5 kmph, Sol : www.cbse.site/ma/lm214, 129. Gears are mechanical parts with cut teeth designed, to fit with teeth on another part so as to transmit or, receive force and motion. Gears are also sometimes, called toothed wheels or cogged wheels or cogs. The, cut teeth are also sometimes called cogs., , A boy is moving a box upward through the use of, a pulley 21 cm in radius. If the pulley is rotated, counterclockwise through an angle of 102c , what is, the height, that the weight will rise., (a) 52.5 cm, , In following figure AB = 21 cm what is the perimeter, of combined circles?, , (b) 37.4 cm, (c) 68.3 cm, (d) 42.8 cm, Sol : www.cbse.site/ma/lm213, 128. The paddle wheel in the river functions like a wheel, rolling on a road. To approximate the speed of the, current of a river, a circular paddle wheel with radius, , (a) 44 cm, (b) 22 cm
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 164, , Areas Related to Circles, , (c) 66 cm, (d) 33 cm, Sol : www.cbse.site/ma/lm215, , Direction For Question : (130-134), Jawaharlal Nehru Stadium is a multi-purpose, sports stadium and a very popular sports stadium, of Delhi. The stadium is a part of the Jawaharlal, Nehru sports complex in central Delhi, which also, houses the headquarters of the Sports Authority of, India, the field arm of the Ministry of Youth Affairs, and Sports, and the Indian Olympic Association . It, has a capacity to seat 60,000 people. It is the third, largest multi-purpose stadium in India. In 2010, the, Jawaharlal Nehru Stadium was the main stadium for, XIX Commonwealth Games; a major sporting event., , Chap 7, , The shapes of the hockey court and the shooting, range are square and triangle respectively. Both of, the courts have a common edge that touches the, centre of stadium. The construction of the shooting, range is such that the angle to centre is 90c. The, radius of the stadium is 200 metres., 130. What is the area allotted to shooting range ?, (a) 12,600 m2, (b) 22,000 m2, (c) 20,000 m2, (d) 16,880 m2, Sol : www.cbse.site/ma/lm216, 131. What is the area allotted to hockey court ?, (a) 12,600 m2, (b) 22,000 m2, (c) 20,000 m2, (d) 16,880 m2, Sol : www.cbse.site/ma/lm216, 132. If the team of the curators managing the stadium,, likes to allot space for some more sports, how much, area is available to them?, (a) 85,600 m2, (b) 95,800 m2, (c) 60,040 m2, (d) 76,980 m2, Sol : www.cbse.site/ma/lm216, , Jawaharlal Nehru stadium is conducting the annual, sports competition soon. The curator of the stadium, is tasked to figuring out the dimensions for carving, out some areas allotted for a hockey court and a, shooting range, as shown in the figure below., , 133. If the boundaries of the hockey court and shooting, range are to be fenced, then what is the required, length of the fence ?, (a) 200 ^2 + 5 3 h m, (b) 200 ^2 + 3 2 h m, (c) 200 ^2 + 5 2 h m, (d) 200 ^2 + 3 3 h m, Sol : www.cbse.site/ma/lm216, 134. If the cost of fencing is Rs 6 per metre, what is the, total cost of fencing ?, (a) ` 2400 ^2 + 3 2 h, (b) ` 1200 ^2 + 5 2 h, (c) ` 1200 ^2 + 3 2 h
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 7, , Areas Related to Circles, , (d) ` 2400 ^2 + 5 2 h, Sol : www.cbse.site/ma/lm216, , Page 165, , curved surface area of roof?, (a) 32 2 p m2, (b) 16 2 p m2, (c) 48 2 p m2, , Direction For Question : (135-139), A barn is an agricultural building usually on farms, and used for various purposes. A barn refers to, structures that house livestock, including cattle and, horses, as well as equipment and fodder, and often, grain., , (d) 24 2 p m2, Sol : www.cbse.site/ma/lm217, 139. What is the storage capacity of barn ?, (a) 48 (6 + p) m3, (b) 48 (3 + p) m3, (c) 96 (6 + p) m3, (d) 96 (3 + p) m3, Sol : www.cbse.site/ma/lm217, , Ramkaran want to build a barn at his farm. He has, made a design for it which is shown above. Here roof, is arc of a circle of radius r at centre O ., 135. What is the value of radius of arc ?, (a) 4 3 m, (b) 4 2 m, (c) 2 3 m, , Direction For Question : (140-144), The tunnels are defined as the underground passages, that are used for the transportation purposes. These, permit the transmission of passengers and freights,, or it may be for the transportation of utilities like, water, sewage or gas etc. The tunnel engineering is, one of the most interesting disciplines in engineering., The work is complex and difficult throughout its, course, even though it is interesting., , (d) 2 2 m, Sol : www.cbse.site/ma/lm217, 136. What is the curved width of roof ?, (a) 2p 3 m, (b) 4p 2 m, (c) 2p 2 m, (d) 4p 3 m, Sol : www.cbse.site/ma/lm217, 137. What is area of cross section of barn ?, (a) 8 (6 + p) m2, (b) 4 (6 + p) m2, (c) 8 (3 + p) m2, (d) 4 (3 + p) m2, Sol : www.cbse.site/ma/lm217, 138. If the length of the barn is 12 meters, what is the, , Earth is excavated to make a road tunnel. The tunnel, is a cylinder of radius 7 m and length 450 m., A level surface is laid inside the tunnel to make road., Figure shows the circular cross - section of the tunnel., The level surface is represented by AB , the centre of, the circle is O and +AOB = 90c. The space below, AB is filled with rubble (debris from the demolition, buildings).
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 166, , Areas Related to Circles, , Chap 7, , 144. If the weight of 1 meter girder is 25 kg, how much, steel is required ?, (a) 2508 quintals, (b) 627 quintals, (c) 2246 quintals, (d) 1646 quintals, Sol : www.cbse.site/ma/lm218, Steel girders are erected above the tracks to, strengthen the tunnel. The girders are erected at 6, m intervals along the length of the tunnel, with one, at each end., 140. What is the cross section area of tunnel before filling, debris on ground plane ?, (a) 154 m2, (b) 140 m2, (c) 155 m2, (d) 145 m2, Sol : www.cbse.site/ma/lm218, 141. What is the area of cross section of tunnel after, filling debris on ground plane?, (a) 138 m2, (b) 140 m2, (c) 152 m2, (d) 145 m2, Sol : www.cbse.site/ma/lm218, 142. What is the length of each girder ?, (a) 11 m, (b) 22 m, (c) 33 m, (d) 44 m, Sol : www.cbse.site/ma/lm218, 143. How many girders are erected ?, (a) 76, (b) 75, (c) 74, (d) 73, Sol : www.cbse.site/ma/lm218
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 7, , Areas Related to Circles, , SELF TEST QUESTIONS, 145. The areas of two circles are in the ratio 9 : 4, then, what is the ratio of their circumferences?, (a) 4 : 9, , 150. The area of a circular play ground is 22176 cm2 ., What is the cost of fencing this ground at the rate, of 50 per metre?, (a) ` 132, (b) ` 264, , (b) 2 : 3, , (c) ` 165, , (c) 3 : 2, , (d) ` 365, , (d) 9 : 4, , Page 167, , Sol : www.cbse.site/ma/lm224, , Sol : www.cbse.site/ma/lm219, 146. The length of the minute hand of clock is 14 cm., What is the area swept by the minute hand in 15, minutes?, (a) 154 cm2, , 151. The wheel of a motorcycle is of radius 35 cm. How, many revolutions are required to travel a distance of, 11 m?, (a) 2, (b) 5, , (b) 87 cm2, , (c) 10, , (c) 154p cm2, , (d) 18, , (d) 87p cm2, , Sol : www.cbse.site/ma/lm225, , Sol : www.cbse.site/ma/lm220, 147. The perimeter of a sector of a circle with radius 6.5, cm is 31 cm, what is the area of the sector?, (a) 31 cm2, , 152. The length of the minute hand of a clock is 14 cm., What is the area swept by the minute hand from 9, a.m. to 9.35 a.m?, (a) 151.33 cm2, , (b) 117p cm2, , (b) 296.33 cm2, , (c) 58.5 cm2, , (c) 120.33 cm2, , (d) 117 cm2, , (d) 259.33 cm2, , Sol : www.cbse.site/ma/lm221, , Sol : www.cbse.site/ma/lm226, , 148. A piece of wire 22 cm long is bent into the form, an arc of a circle subtending an angle of 60c at its, centre. What is the radius of the circle? 6Use p = 227 @, (a) 42p cm, , 153. A road which is 7 m wide surrounds a circular park, whose circumference is 88 m. What is the area of the, road?, (a) 165 m2, , (b) 21p cm, , (b) 330 m2, , (c) 42 cm, , (c) 385 m2, , (d) 21 cm, , (d) 770 m2, , Sol : www.cbse.site/ma/lm222, , Sol : www.cbse.site/ma/lm227, , 149. The perimeter of a sector of a circle of radius 5.2 cm, is 16.4 cm. What is the area of the sector?, (a) 62 cm2, (b) 128 cm2, (c) 31 cm2, (d) 15.6 cm2, Sol : www.cbse.site/ma/lm223, , 154. Three horses are tied each with 7 m long rope at, three corners of a triangular field having sides 20 m,, 34 m and 42 m. What is the area of the plot which, can be grazed by the horses?, (a) 77 m2, (b) 154 m2, (c) 88 m2, (d) 176 m2
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 168, , Areas Related to Circles, , Sol : www.cbse.site/ma/lm228, , Chap 7, , major segment ALBQA? (Use p = 3.14 ), , 155. In given figure, PQ and AB are two arcs of concentric, circles of radii 7 cm and 3.5 cm respectively, with, centre O . If +POQ = 30c, what is the area of shaded, region?, , (a) 285.5 cm2, (a) 9.625 cm, , (b) 168.5 cm2, , 2, , (c) 210.5 cm2, , (b) 18.5 cm2, (c) 12.625 cm, , 2, , (d) 14.5 cm2, Sol : www.cbse.site/ma/lm229, 156. A horse is tethered to one corner of a rectangular, field of dimensions 70 m # 52 m , by a rope of length, 21 m. How much area of the field can it graze?, (a) 392 m2, (b) 612 m2, , (d) 192.5 cm2, Sol : www.cbse.site/ma/lm232, 159. If circumference of a circle is 44 cm, then what will, be the area of the circle?, (a) 154p cm2, (b) 44p cm2, (c) 88p cm2, (d) 22p cm2, Sol : www.cbse.site/ma/lm233, , (c) 693 m2, (d) 346.5 m2, Sol : www.cbse.site/ma/lm230, 157. Sides of a right triangular field are 25 m, 24 m and, 7 m. At the three corners of the field, a cow, a buffalo, and a horse are tied separately with ropes of 3.5 m, each to graze in the field. What is the area of the, field that cannot be grazed by these animals?, (a) 138 m2, (b) 129.5 m2, (c) 64.75 m, , 160. A steel wire when bent in the form of a square, encloses an area or 121 cm2. If the same wire is bent, in the form of a circle, what is the circumference of, the circle?, (a) 44p cm, (b) 22p cm, (c) 44 cm, (d) 22 cm, Sol : www.cbse.site/ma/lm234, , 2, , (d) 196 m2, Sol : www.cbse.site/ma/lm231, 158. In the given figure, a chord AB of the circle with, centre O and radius 10 cm, that subtends a right, angle at the centre of the circle. What is the area, of the minor segment AQBP . What is the area of, , 161. What is the radius of a circle whose circumference is, equal to the sum of the circumference of two circles, of diameter 36 cm and 20 cm, (a) 56 cm, (b) 28 cm, (c) 56p cm, (d) 28p cm
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 7, , Areas Related to Circles, , Sol : www.cbse.site/ma/lm235, 162. What is the diameter of a circle whose area is equal, to the sum of areas of two circles of diameter 16 cm, and 12 cm?, (a) 10p cm, , Page 169, , Sol : www.cbse.site/ma/lm240, 167. What is the area of the adjoining diagram?, , (b) 20p cm, (c) 20 cm, (d) 10 cm, Sol : www.cbse.site/ma/lm236, (a) 214 m2, 163. If the circumference of a circle increases from 4p to, 8p , then what about its area ?, (a) half, (b) 2 times, , (b) 126 m2, (c) 378 m2, (d) 412 m2, Sol : www.cbse.site/ma/lm241, , (c) 4 times, (d) does not change, Sol : www.cbse.site/ma/lm237, 164. If the radius of the circle is 6 cm and the length of an, arc 12 cm. What is the area of the sector?, (a) 36 cm2, , 168. In the fig., PSR, RTQ and PAQ are three semicircles of diameters 10 cm, 3 cm and 7 cm region, respectively. What is the perimeter of shaded region?, Use p = 227 ., , (b) 18 cm2, (c) 72 cm2, (d) 108 cm2, Sol : www.cbse.site/ma/lm238, 165. A chord of a circle of radius 10 cm subtends a right, angle at the centre. What is area of minor segment., ^p = 3.14h, (a) 10p cm2, , (a) 62.1 cm2, , 2, , (b) 92.1 cm2, , (c) 28.5 cm2, , (c) 31.4 cm2, , (d) 57.5 cm2, , (d) 12.4 cm2, , Sol : www.cbse.site/ma/lm239, , Sol : www.cbse.site/ma/lm242, , (b) 20p cm, , 166. If the perimeter of a semi-circular protractor is 36, cm, what is its diameter. ^Use p = 227 h ?, (a) 28 cm, (b) 28p cm, (c) 14 cm, (d) 14p cm, , 169. In the figure, TABC is in the semi-circle, what is the, area of the shaded region given that AB = BC = 4
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 170, , Areas Related to Circles, , cm? (Use p = 3.14 ), , Chap 7, , 172. What is the area of the shaded region in Figure, if, ABCD is a rectangle with sides 8 cm and 6 cm and, O is the centre of circle? (Take p = 3.14 ), , (a) 9.12 cm2, (b) 4.56 cm2, , (a) 10.5 cm2, , (c) 2.16 cm2, , (b) 40.5 cm2, , (d) 12.16 cm2, , (c) 20.5 cm2, , Sol : www.cbse.site/ma/lm243, , (d) 30.5 cm2, Sol : www.cbse.site/ma/lm246, , 170. In a circle of radius 21 cm, an arc subtends an angle, of 60c at the centre. What is the area of sector, formed by the arc?, (a) 312 cm2, , 173. What is the area of the shaded region in figure, if, PQ = 24 cm, PR = 7 cm and O is the centre of the, circle?, , (b) 298 cm2, (c) 402 cm2, (d) 231 cm2, Sol : www.cbse.site/ma/lm244, 171. In fig., what is the area of the shaded region (, p = 3.14 ), , (a) 210.5 cm2, (b) 292.8 cm2, (c) 161.5 cm2, (d) 192.8 cm2, Sol : www.cbse.site/ma/lm247, 174. In given figure, a square OABC is inscribed in a, quadrant OPBQ . If OA = 15 cm , what is the area of, the shaded region? (Use p = 3.14 )., , (a) 205 cm2, (b) 155 cm2, (c) 195 cm2, (d) 104 cm2, Sol : www.cbse.site/ma/lm245, , (a) 226.5 cm2
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 7, (b) 128.25 cm2, (c) 198.5 cm2, (d) 250.5 cm2, Sol : www.cbse.site/ma/lm248, , Areas Related to Circles, , Page 171
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 172, , Probability, , Chap 8, , CHAPTER 8, PROBABILITY, 1., , The probability that a number selected at random, from the numbers 1, 2, 3, ......, 15 is a multiple of 4 is, (a) 154, (b), (c), (d), , 2, 15, 1, 15, 1, 5, , (d) 0.1, Sol : www.cbse.site/ma/om105, 6., , Sol : www.cbse.site/ma/om101, , If the probability of an event is p , then the probability, of its complementary event will be, (a) p - 1, (b) p, (c) 1 - p, , 2., , (d) 1 -, , Two coins are tossed simultaneously. The probability, of getting at most one head is, (a) 14, (b), (c), (d), , 1, 2, 2, 3, 3, 4, , 1, p, , Sol : www.cbse.site/ma/om106, 7., , Sol : www.cbse.site/ma/om102, , The probability expressed as a percentage of a, particular occurrence can never be, (a) less than 100, (b) less than 0, (c) greater than 1, , 3., , (d) anything but a whole number, , If an event cannot occur, then its probability is, (a) 1, (c), (d), , 2, 3, 3, 4, , (d) 0, , Sol : www.cbse.site/ma/om107, 8., , Sol : www.cbse.site/ma/om103, , The P ^Ah denotes the probability of an event A,, then, (a) P ^Ah < 0, (b) P ^Ah > 1, , 4., , (c) 0 # P ^Ah # 1, , Which of the following cannot be the probability of, an event?, (a) 13, , (d) - 1 # P ^Ah # 1, Sol : www.cbse.site/ma/om108, , (b) 0.1, (c) 3%, (d), , 17, 16, , Sol : www.cbse.site/ma/om104, , 9., , If a card is selected from a deck of 52 cards, then the, probability of its being a red face card is, (a) 263, (b), , 5., , An event is very unlikely to happen. Its probability, is closest to, (a) 0.0001, (b) 0.001, (c) 0.01, , (c), (d), , 3, 13, 2, 13, 1, 2, , Sol : www.cbse.site/ma/om109
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 8, , Probability, , 10. A card is drawn from a deck of 52 cards. The event, E is that card is not an ace of hearts. The number of, outcomes favourable to E is, (a) 4, , Page 173, , 15. Someone is asked to take a number from 1 to 100., The probability that it is a prime, is, (a) 258, (b), , 1, 4, , (b) 13, , (c), , 3, 4, , (c) 48, , (d), , 13, 50, , (d) 51, , Sol : www.cbse.site/ma/om115, , Sol : www.cbse.site/ma/om110, 11. When a die is thrown, the probability of getting an, odd number less than 3 is, (a) 16, (b), (c), , 1, 3, 1, 2, , (d) 0, , 16. The probability of getting a number greater then 3, in throwing a die is, (a) 13, (b), , 1, 4, , (c), , 3, 4, , (d), , 2, 3, , Sol : www.cbse.site/ma/om116, , Sol : www.cbse.site/ma/om111, 12. The probability of getting a bad egg in a lot of 400 is, 0.035. The number of bad eggs in the lot is, (a) 7, , 17. Out of one digit prime numbers, one number is, selected at random. The probability of selecting an, even number is, (a) 13, , (b) 14, , (b), , 1, 4, , (c) 21, , (c), , 3, 4, , (d) 28, , (d), , 2, 3, , Sol : www.cbse.site/ma/om112, , Sol : www.cbse.site/ma/om117, , 13. A girl calculates that the probability of her winning, the first prize in a lottery is 0.08. If 6000 tickets are, sold, then how many tickets has she bought?, (a) 40, , 18. A bag contains 3 red and 2 blue marbles. If a marble, is drawn at random, then the probability of drawing, a blue marble is, (a) 25, , (b) 240, , (b), , 1, 4, , (c) 480, , (c), , 3, 5, , (d) 750, , (d), , 2, 3, , Sol : www.cbse.site/ma/om113, , Sol : www.cbse.site/ma/om118, , 14. One ticket is drawn at random from a bag containing, tickets numbered 1 to 40. The probability that the, selected ticket has a number which is a multiple of, 5 is, (a) 15, (b), (c), (d), , 3, 5, 4, 5, 1, 3, , Sol : www.cbse.site/ma/om114, , 19. A single letter is selected at random from the word, PROBABILITY. The probability that the selected, letter is a vowel is, (a) 112, (b), (c), , 3, 11, 4, 11, , (d) 0, Sol : www.cbse.site/ma/om119
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 174, , Probability, , 20. A fair die is thrown once. The probability of getting, a composite number less than 5 is, (a) 13, (b), (c), , 1, 6, 2, 3, , (d) 0, , Chap 8, , 25. Which of the following relationship is the correct?, (a) P (E ) + P (E ) = 1, (b) P (E ) - P (E ) = 1, (c) P (E ) = 1 + P (E ), (d) None of these, Sol : www.cbse.site/ma/om125, , Sol : www.cbse.site/ma/om120, 21. If a letter is chosen at random from the letter of, English alphabet, then the probability that it is a, letter of the word DELHI is, (a) 15, (b), (c), (d), , 1, 26, 5, 26, 21, 26, , Sol : www.cbse.site/ma/om121, 22. The probability that a two digit number selected at, random will be a multiple of 3 and not a multiple of, 5 is, (a) 152, (b), (c), (d), , 4, 15, 1, 15, 4, 90, , Sol : www.cbse.site/ma/om122, 23. If in a lottery, there are 5 prizes and 20 blanks, then, the probability of getting a prize is, (a) 25, (b), (c), , 4, 5, 1, 5, , 26. Two dice are thrown together. The probability that, sum of the two numbers will be a multiple of 4, is:, (a) 12, (b), (c), (d), , 1, 3, 1, 8, 1, 4, , Sol : www.cbse.site/ma/om126, 27. A letter is chosen at random from the letters of the, word ASSASSINATION, then the probability that, 6 ,, the letter chosen is a vowel is in the form of, 2x + 1, then x is equal to, (a) 5, (b) 6, (c) 7, (d) 8, Sol : www.cbse.site/ma/om127, 28. Ramesh buys a fish from a shop for his aquarium., The shopkeeper takes out one fish at random a tank, containing 5 male fish and 9 female fish. Then, the, probability that the fish taken out is a male fish, is, (a) 135, (b), , (d) 1, , (c), , Sol : www.cbse.site/ma/om123, , (d), , 5, 14, 6, 13, 7, 13, , Sol : www.cbse.site/ma/om128, 24. If a number x is chosen at random from the numbers, - 2, - 1, 0, 1, 2 . Then, the probability that x2 1 2, is, (a) 25, (b), (c), (d), , 4, 5, 1, 5, 3, 5, , Sol : www.cbse.site/ma/om124, , 29. A number x is selected from the numbers 1, 2, 3 and, then a second number y is randomly selected from, the numbers 1, 4, 9 then the probability that the, product xy of the two numbers will be less than 9 is, (a) 73, (b), (c), (d), , 4, 9, 5, 9, 7, 9
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 8, , Probability, , Sol : www.cbse.site/ma/om129, , Page 175, , (b) 1, (c) 0, , 30. There are 1000 sealed envelopes in a box. 10 of them, contain a cash prize of < 100 each, 100 of them, contain a cash prize of < 50 each and 200 of them, contain a cash prize of < 10 each and rest do not, contain any cash prize. If they are well-shuffled and, an envelope is picked up out, then the probability, that is contains no cash prize is, (a) 0.65, , (d) 0.5, Sol : www.cbse.site/ma/om134, 35. A card is drawn at random from a well-shuffled pack, of 52 cards. What is the probability of getting a red, king?, (a) 131, 1, 26, 3, 26, 1, 52, , (b) 0.69, , (b), , (c) 0.54, , (c), , (d) 0.57, , (d), , Sol : www.cbse.site/ma/om130, , Sol : www.cbse.site/ma/om135, , 31. On a single roll of a die, the probability of getting a, number 8 is .........., (a) 0.5, (b) 0.4, , 36. A card drawn at random from a well shuffled deck of, 52 playing cards. What is the probability of getting, a black king?, (a) 131, , (c) 1, , (b), , (d) 0, , (c), , Sol : www.cbse.site/ma/om131, , (d), , 1, 26, 3, 26, 1, 52, , Sol : www.cbse.site/ma/om136, 32. On a single roll of a die, the probability of getting a, number less than 7 is ..........., (a) 0.5, (b) 0.4, , 37. A die is thrown once. What is the probability of, getting a number less than 3?, (a) 13, , (c) 0, , (b), , (d) 1, , (c), , Sol : www.cbse.site/ma/om132, , (d), , 1, 4, 1, 2, 1, 5, , Sol : www.cbse.site/ma/om137, 33. A number is chosen at random from the numbers, - 5 , - 4 , - 3 , - 2 , - 1, 0, 1, 2, 3, 4, 5. Then the, probability that square of this number is less than or, equal to 1 is .......... ., (a) 119, (b), (c), (d), , 3, 11, 8, 11, 7, 11, , Sol : www.cbse.site/ma/om133, 34. What is the probability of an impossible event?, (a) 3, , 38. A card is drawn from a well shuffled deck of playing, cards. What is the probability of drawing a red face, card?, (a) 261, (b), (c), (d), , 3, 26, 5, 26, 7, 26, , Sol : www.cbse.site/ma/om138, 39. What is the probability of getting a sum of 9, when, two dice are thrown simultaneously?, (a) 19
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 176, (b), (c), (d), , Probability, 7, 9, 5, 9, 2, 9, , Sol : www.cbse.site/ma/om139, 40. A bag contains 3 red and 5 black balls. A ball is drawn, at random from the bag. What is the probability, that the drawn ball is not red ?, (a) 78, (b), (c), (d), , 3, 8, 1, 4, 5, 8, , Sol : www.cbse.site/ma/om140, , (b), (c), (d), , Chap 8, 4, 7, 4, 9, 5, 9, , Sol : www.cbse.site/ma/om144, 45. A bag contains 5 red balls and some blue balls. If the, probability of drawing a blue ball at random from, the bag is three times that of a red ball, what is the, number of blue balls in the bag., (a) 13, (b) 14, (c) 15, (d) 16, Sol : www.cbse.site/ma/om145, , 41. If three different coins are tossed together, then, What is the probability of getting two heads?, (a) 38, (b), (c), (d), , 1, 4, 1, 2, 5, 8, , Sol : www.cbse.site/ma/om141, , 46. If a pair of dice is thrown once, then what is the, probability of getting a sum of 8?, (a) 125, (b), (c), (d), , 5, 36, 5, 18, 11, 36, , Sol : www.cbse.site/ma/om146, 42. A number is chosen at random from the numbers, - 3, - 2, - 1, 0, 1, 2, 3 . What will be the probability, that square of this number is less than or equal to 1?, (a) 73, (b), (c), (d), , 4, 7, 5, 7, 2, 7, , Sol : www.cbse.site/ma/om142, 43. The probability of selecting a rotten apple randomly, from a heap of 900 apples is 0.18. What is the number, of rotten apples in the heap ?, (a) 738, , 47. A die thrown once. What is the probability of getting, an even prime number?, (a) 14, (b), (c), (d), , 1, 2, 1, 6, 1, 3, , Sol : www.cbse.site/ma/om147, 48. Two different dice are thrown together, what is is the, probability that the sum of the numbers appeared is, less than 5., (a) 16, 1, 3, 5, 6, 2, 3, , (b) 82, , (b), , (c) 162, , (c), , (d) 18, , (d), , Sol : www.cbse.site/ma/om143, , Sol : www.cbse.site/ma/om148, , 44. A number x is chosen from 25, 24, 23, - 2, - 1, 0, 1,, 2, 3. What is the probability that x < 3 ?, (a) 73, , 49. In a lottery, there are 10 prizes and 25 blanks. What, is the probability of getting a prize?, (a) 72
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 8, (b), (c), (d), , Probability, 5, 7, 3, 7, 4, 7, , Sol : www.cbse.site/ma/om149, 50. Two different coins are tossed simultaneously, what, is is the probability of getting at least one head?, (a) 73, (b), (c), (d), , 2, 7, 5, 7, 3, 4, , Sol : www.cbse.site/ma/om150, 51. A pair of dice is thrown once. What is the probability, of getting a doublet?, (a) 12, (b), (c), (d), , 1, 3, 1, 6, 1, 5, , Sol : www.cbse.site/ma/om151, , (b), (c), (d), , (b), (c), (d), , 2, 3, 1, 2, 1, 4, , Sol : www.cbse.site/ma/om152, , 55. A bag contains 6 red and 5 blue balls. What is the, probability that the ball drawn is not red?, (a) 115, (b), (c), (d), , (b), (c), (d), , 3, 7, 1, 7, 2, 7, , Sol : www.cbse.site/ma/om153, , 56. There are 30 cards of the same size in a bag in which, the numbers 1 to 30 are written. One card is taken, out of the bag at random. What is the probability, that the number on the selected card is not divisible, by 3?, (a) 151, (b), (c), , 2, 3, 1, 10, 1, 3, , Sol : www.cbse.site/ma/om156, 57. Two different dice are tossed together. What is the, probability that the number on each die is even ?, (a) 12, (b), (c), , 1, 4, 3, 4, 1, 6, , Sol : www.cbse.site/ma/om157, 58. A letter of English alphabet is chosen at random,, what is the probability that the letter so chosen is a, vowel ?, (a) 265, (b), (c), (d), , 54. A bag contains cards with numbers written on it, from 1–80. A card is pulled out at random. What is, the probability that the card shows a perfect square?, (a) 12, , 6, 11, 2, 11, 7, 11, , Sol : www.cbse.site/ma/om155, , (d), 53. If a number x is chosen at random from the numbers, - 3 , - 2 , - 1. 0, 1, 2, 3, then What is the probability, of x2 < 4 ?, (a) 74, , 1, 5, 1, 10, 3, 10, , Sol : www.cbse.site/ma/om154, , (d), 52. A die is thrown once. What is the probability of, getting a prime number?, (a) 13, , Page 177, , 21, 26, 2, 13, 7, 13, , Sol : www.cbse.site/ma/om158, 59. A letter of English alphabet is chosen at random,, what is the probability that the letter so chosen is a
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 178, , Probability, , consonant?, (a) 265, (b), (c), (d), , 21, 26, 2, 13, 7, 13, , Sol : www.cbse.site/ma/om159, 60. Harpreet tosses two different coins simultaneously., What is the probability that she gets at least one, head ?, (a) 14, (b), (c), , 2, 4, 3, 4, , (d) 1, Sol : www.cbse.site/ma/om160, , Chap 8, , 64. A bag contains 5 red, 8 green and 7 white balls. One, ball is drawn at random from the bag, what is the, probability neither a green nor a red ball?, (a) 103, (b), (c), (d), , 7, 10, 13, 20, 7, 20, , Sol : www.cbse.site/ma/om164, 65. Two dice are rolled simultaneously. What is the, probability that the sum of numbers appearing is 10?, (a) 19, (b), (c), (d), , 1, 18, 1, 12, 1, 36, , Sol : www.cbse.site/ma/om165, 61. Rashi tosses two different coins simultaneously., What is the probability that she gets one head and, one tail ?, (a) 14, (b), (c), (d), , 2, 4, 3, 4, 1, 2, , Sol : www.cbse.site/ma/om161, 62. A bag contains cards bearing numbers from 11 to 30., A card is taken out from the bag at random. What, is the probability that the selected card has multiple, of 5 on it?, (a) 25, (b), (c), (d), , 1, 5, 3, 20, 11, 20, , Sol : www.cbse.site/ma/om162, 63. A bag contains 5 red, 8 green and 7 white balls. One, ball is drawn at random from the bag, what is the, probability of getting not a white ball ?, (a) 103, (b), (c), (d), , 7, 10, 13, 20, 7, 20, , Sol : www.cbse.site/ma/om163, , 66. In a family of two children What is the probability of, having at least one girl?, (a) 14, (b), (c), , 1, 2, 3, 4, , (d) 1, Sol : www.cbse.site/ma/om166, 67. What is the probability that a leap year has 53, Sundays?, (a) 72, (b), (c), (d), , 5, 7, 1, 53, 7, 53, , Sol : www.cbse.site/ma/om167, 68. Two coins are tossed together. What is the probability, of getting both heads or both tails?, (a) 12, (b), (c), (d), , 1, 3, 1, 4, 1, 5, , Sol : www.cbse.site/ma/om168, 69. One card is drawn from a well shuffled deck of 52
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 8, , Probability, , cards. What is the probability of getting a non face, card?, (a) 10, 26, (b), (c), (d), , 13, 52, 10, 13, 3, 13, , Sol : www.cbse.site/ma/om169, , Page 179, , Sol : www.cbse.site/ma/om172, 74. A bag contains 5 red balls and some blue balls. If the, probability of drawing a blue ball is double that of, red ball, How many balls are in the bag?, (a) 12, (b) 10, (c) 8, , 70. One card is drawn from a well shuffled deck of 52, cards. What is the probability of getting a black king., (a) 261, (b), (c), (d), , 13, 52, 10, 13, 3, 13, , Sol : www.cbse.site/ma/om170, , (d) 4, Sol : www.cbse.site/ma/om173, 75. Two different dice are thrown together. What is the, probability that the product of the number appeared, is less than 18?, (a) 23, 36, (b), , 71. Two dice are thrown together. What is the probability, of getting a doublet ?, (a) 121, (b), (c), (d), , 1, 6, 1, 18, 1, 36, , Sol : www.cbse.site/ma/om171, , Direction For Question :, A lot consists of 144 ball pens of which 20 are, defective and others are good. Nuri will buy a pen, if it is good, but will not buy if it is defective. The, shopkeeper draws one pen at random and gives it to, her., 72. What is the probability that she will buy it?, (a) 185, (b), (c), (d), , 5, 36, 13, 18, 31, 36, , Sol : www.cbse.site/ma/om172, , (c), (d), , Sol : www.cbse.site/ma/om174, , Direction For Question : (76-77), A box contains cards numbered 11 to 123. A card is, drawn at random from the box., 76. What is the probability that the number of the, drawn card is a perfect square number ?, 91, (a) 113, (b), (c), (d), , (b), (c), (d), , 5, 36, 13, 18, 31, 36, , 8, 113, 105, 113, 22, 113, , Sol : www.cbse.site/ma/om175, 77. What is the probability that the number of the, drawn card is a multiple of 7?, 91, (a) 113, (b), (c), (d), , 73. What is the probability that she will not buy it?, (a) 185, , 13, 36, 13, 18, 5, 18, , 16, 113, 105, 113, 22, 113, , Sol : www.cbse.site/ma/om175, 78. A box contains 12 balls of which some are red in, colour. If 6 more red balls are put in the box and a
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 180, , Probability, , ball is drawn at random the probability of drawing, a red ball doubles than what it was before. What is, the number of red balls in the bag?, (a) 3, , Chap 8, , 83. Two dice are tossed simultaneously. What is the, probability of getting the sum of two numbers more, than 9?, (a) 14, 3, 4, 1, 2, 1, 6, , (b) 4, , (b), , (c) 5, , (c), , (d) 6, , (d), , Sol : www.cbse.site/ma/om176, , Sol : www.cbse.site/ma/om181, , 79. An integer is chosen between 70 and 100. What is the, probability that it is a prime number?, (a) 18, 29, (b), (c), (d), , 23, 29, 11, 29, 6, 29, , Sol : www.cbse.site/ma/om177, 80. An integer is chosen between 70 and 100. What is the, probability that it is divisible by 7?, (a) 18, 29, (b), (c), (d), , 21, 29, 11, 29, 4, 29, , Sol : www.cbse.site/ma/om178, 81. What is the probability that 5 Sundays occur in the, month of November of a randomly selected year., (a) 75, (b), (c), (d), , 2, 7, 4, 7, 3, 7, , Sol : www.cbse.site/ma/om179, , 84. In a family of three children, what is the probability, of having at least two boys., (a) 12, (b), (c), (d), , Sol : www.cbse.site/ma/om182, , Direction For Question : (85-86), A child has a die whose six faces show the letters as, shown below:, A B C D E A, The die is thrown once., 85. What is the probability of getting A?, (a) 16, (b), (c), (d), , (b), (c), (d), , 3, 4, 1, 2, 1, 6, , Sol : www.cbse.site/ma/om180, , 1, 3, 5, 6, 1, 2, , Sol : www.cbse.site/ma/om183, 86. What is the probability of getting D ?, (a) 16, (b), , 82. Two dice are tossed simultaneously. What is the, probability of getting the sum of two numbers more, than 9?, (a) 14, , 1, 3, 3, 4, 1, 4, , (c), (d), , 1, 3, 5, 6, 1, 2, , Sol : www.cbse.site/ma/om183, 87. A game consists of tossing a coin 3 times and noting, the outcome each time. If getting the same result in, all the tosses is a success, what is the probability of, losing the game?, (a) 13, (b), , 1, 4
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 8, (c), (d), , Probability, 2, 3, 3, 4, , Sol : www.cbse.site/ma/om184, 88. A die is thrown once. What is the probability of, getting a number which (i) is a prime number (ii), lies between 2 and 6?, (a) 16, (b), (c), (d), , 1, 3, 5, 6, 1, 2, , Sol : www.cbse.site/ma/om185, , (c), (d), , (b), (c), (d), , 25, 36, 5, 18, 11, 36, , Sol : www.cbse.site/ma/om186, , Direction For Question : (93-95), From a pack of 52 playing cards, Jacks, Queens and, Kings of red colour are removed. From the remaining,, a card is drawn at random., 93. What is the probability that drawn card is a black, king ?, (a) 521, (c), (d), , (b), (c), (d), , 5, 6, 1, 3, 2, 3, , Sol : www.cbse.site/ma/om187, , 94. What is the probability that drawn card is a card, of red colour?, (a) 10, 23, (c), (d), , 95. What is the probability that drawn card is a card of, black colour?, (a) 521, (c), , 91. What is the probability that it is divisible by 8., (a) 272, (b), (c), (d), , 4, 49, 10, 27, 6, 49, , Sol : www.cbse.site/ma/om188, , 1, 23, 1, 26, 2, 23, , Sol : www.cbse.site/ma/om189, , (b), , Direction For Question : (91-92), An integer is chosen at random between 1 and 100., , 1, 23, 1, 26, 2, 23, , Sol : www.cbse.site/ma/om189, , (b), 90. Two different dice are tossed together. What is the, probability of getting a doublet?, (a) 16, , 10, 27, 6, 49, , Sol : www.cbse.site/ma/om188, , (b), 89. A die is thrown twice. What is the probability that 5, will come up at least once?, (a) 13, 18, , Page 181, , (d), , 1, 23, 13, 23, 2, 23, , Sol : www.cbse.site/ma/om189, 96. A bag contains 6 red balls and some blue balls. If, the probability of drawing a blue ball from the bag is, twice that of a red ball, what is the number of blue, balls in the bag?, (a) 10, (b) 12, (c) 14, , 92. What is the probability that it is not divisible by 8., (a) 272, (b), , 43, 49, , (d) 16, Sol : www.cbse.site/ma/om190
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 182, , Probability, , Direction For Question : (97-99), A bag contains cards numbered 1 to 49., 97. What is the probability that the number on the, drawn card is an odd number?, (a) 71, (b), (c), (d), , 24, 49, 3, 7, 25, 49, , Sol : www.cbse.site/ma/om191, 98. What is the probability that the number on the, drawn card is a multiple of 5?, (a) 71, (b), (c), (d), , 24, 49, 1, 49, 9, 49, , Sol : www.cbse.site/ma/om191, , Chap 8, , 102. Three different coins are tossed together. What is the, probability of getting at least two tails?, (a) 14, (b), (c), (d), , 5, 8, 1, 2, 3, 8, , Sol : www.cbse.site/ma/om194, 103. A game consists of tossing a one-rupee coin 3 times, and noting the outcome each time. Ramesh will win, the game if all the tosses show the same result, (i.e, either all three heads or all three tails) and loses, the game otherwise. What is the probability that, Ramesh will lose the game?, (a) 38, (b), (c), (d), , 3, 4, 5, 8, 1, 2, , Sol : www.cbse.site/ma/om195, 99. What is the probability that the number on the, drawn card is even prime?, (a) 71, (b), (c), (d), , 24, 49, 1, 49, 25, 49, , Sol : www.cbse.site/ma/om191, 100. Two unbiased coins are tossed simultaneously. What, is the probability of getting at least one head?, (a) 14, (b), (c), , 3, 4, 1, 2, , 104. In a single throw of a pair of different dice, what is, the probability of getting a prime number on each, dice ?, (a) 11, 36, (b), (c), (d), , Sol : www.cbse.site/ma/om196, 105. In a single throw of a pair of different dice, what is, the probability of getting a total of 9 or 11 ?, (a) 11, 36, , (d) 1, , (b), , Sol : www.cbse.site/ma/om192, , (c), , 101. Two unbiased coins are tossed simultaneously. What, is the probability of getting atmost one head?, (a) 14, (b), (c), , 3, 4, 1, 2, , (d) 1, Sol : www.cbse.site/ma/om193, , 13, 36, 15, 36, 1, 4, , (d), , 13, 36, 15, 36, 1, 6, , Sol : www.cbse.site/ma/om197, , Direction For Question : (106-107), A box consists of 100 shirts of which 88 are good,, 8 have minor defects and 4 have major defects., Ramesh, a shopkeeper will buy only those shirts, which are good but ‘Kewal’ another shopkeeper will, not buy shirts with major defects. A shirt is taken
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 8, , Probability, , out of the box at random., 106. What is the probability that Ramesh will buy the, selected shirt ?, (a) 253, (b), (c), (d), , 22, 25, 14, 25, 24, 25, , Sol : www.cbse.site/ma/om198, 107. What is the probability that Kewal will buy the, selected shirt ?, (a) 253, (b), (c), (d), , 19, 25, 24, 25, 24, 25, , Sol : www.cbse.site/ma/om198, 108. A box contains 100 cards marked from 1 to 100. If, one card is drawn at random from the box, what is, the probability that it bears a single digit number?, 9, (a) 100, (b), (c), (d), , 91, 100, 4, 25, 11, 25, , Page 183, , selected card is divisible by 9 and is a perfect square?, 3, (a) 100, (b), (c), (d), , 97, 100, 3, 25, 11, 25, , Sol : www.cbse.site/ma/om201, 111. What is the probability that the number on the, selected card is a prime number greater than 80?, 3, (a) 100, (b), (c), (d), , 97, 100, 3, 25, 11, 25, , Sol : www.cbse.site/ma/om201, 112. Cards numbered 2 to 101 are placed in a box. A, card is selected at random from the box, what is, the probability that the card selected has a number, which is a perfect square?, 91, (a) 100, (b), (c), (d), , 9, 100, 21, 25, 4, 25, , Sol : www.cbse.site/ma/om202, , Sol : www.cbse.site/ma/om199, 109. A box contains 100 cards marked from 1 to 100. If, one card is drawn at random from the box, what, is the probability that it bears a number which is, divisible by 7?, 9, (a) 100, (b), (c), (d), , 91, 100, 4, 25, 14, 100, , Sol : www.cbse.site/ma/om200, , Direction For Question : (113-115), All red face cards are removed from a pack of playing, cards. The remaining cards are well shuffled and then, a card is drawn at random from them., 113. What is the probability that the drawn card is :, (i) a red card, (ii) a face card, (iii) a card of clubs, (a) 11, 26, (b), (c), , Direction For Question : (110-111), There are 100 cards in a bag on which numbers from, 1 to 100 are written. A card is taken out from the, bag at random., 110. What is the probability that the number on the, , (d), , 9, 26, 15, 26, 5, 13, , Sol : www.cbse.site/ma/om203, 114. What is the probability that the drawn card is a face, card?, (a) 33, 46
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 184, (b), (c), (d), , Probability, 3, 23, 13, 46, 5, 13, , Sol : www.cbse.site/ma/om203, , 119. One card is drawn from a well shuffled deck of 52, cards. What is the probability of getting non face, card?, (a) 265, (b), (c), , 115. What is the probability that the drawn card is a card, of clubs?, (a) 33, 46, (b), (c), (d), , 9, 26, 13, 46, 5, 13, , Sol : www.cbse.site/ma/om203, , (d), , (b) 24, , 10, 13, 13, 26, 27, 52, , Sol : www.cbse.site/ma/om207, 120. Three coins are tossed simultaneously once. What is, the probability of getting no tail?, (a) 12, (b), (c), , 116. The probability of selecting a red ball at random, from a jar that contains only red, blue and orange, balls is 14 . The probability of selecting a blue ball at, random from the same jar is 13 . If the jar contains, 10 orange balls, what is the total number of ball in, the jar?, (a) 20, , Chap 8, , (d), , 1, 8, 3, 4, 5, 8, , Sol : www.cbse.site/ma/om208, 121. A game consists of tossing a one-rupee coin three, times and noting its outcome each time. What is the, probability of getting three heads?, (a) 18, , (c) 26, , (b), , (d) 32, , (c), , Sol : www.cbse.site/ma/om204, , (d), , 3, 8, 4, 8, 5, 8, , Sol : www.cbse.site/ma/om209, 117. Two different dice are thrown together. What is the, probability of getting a number greater than 3 on, each die?, (a) 16, (b), (c), (d), , 1, 4, 5, 36, 3, 4, , Sol : www.cbse.site/ma/om205, , 122. One card is drawn from a well-shuffled deck of 52, cards. What is the probability of getting either a, king or a black cards?, (a) 137, (b), (c), (d), , 3, 26, 23, 52, 7, 26, , Sol : www.cbse.site/ma/om210, 118. Two different dice are thrown together. What is the, probability of getting a total of 6 or 7 of the numbers, on two dice?, (a) 16, (b), (c), (d), , 11, 36, 5, 36, 3, 4, , Sol : www.cbse.site/ma/om206, , 123. Two dice are numbered 1, 2, 3, 4, 5, 6 and 1, 1, 2, 2,, 3, 3 respectively. They are thrown and the sum of the, numbers on them is noted. What is the probability of, getting even sum :, (a) 183, (b), (c), (d), , 7, 36, 5, 9, 1, 2
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 8, , Probability, , Sol : www.cbse.site/ma/om211, , Page 185, , (b) 4, (c) 6, , 124. Three unbiased coins are tossed together. What is, the probability of getting almost two heads?, (a) 58, (b), (c), (d), , 3, 8, 7, 8, 1, 4, , Sol : www.cbse.site/ma/om212, , (d) 8, Sol : www.cbse.site/ma/om214, 129. Cards numbered 1 to 30 are put in a bag. A card is, drawn at random. What is the probability that the, drawn card is prime number greater than seven?, (a) 151, (b), , 125. A bag contains, white, black and red balls only. A ball, is drawn at random from the bag. If the probability, of getting a white ball is 103 and that of a black ball is, 2, 5 , then what is the probability of getting a red ball?, (a) 58, (b), (c), (d), , 3, 10, 1, 2, 1, 4, , Sol : www.cbse.site/ma/om213, , (c), (d), , Sol : www.cbse.site/ma/om215, 130. Two dice are thrown at the same time. What is the, probability of getting sum of two numbers appearing, on both the dice is 8 ?, (a) 16, (b), (c), , 126. In previous question if the bag contains 20 black, balls, then what is the total number of balls in the, bag?, (a) 40, (b) 50, (c) 60, (d) 70, Sol : www.cbse.site/ma/om213, 127. A bag contains 18 balls out of which x balls are red., If one ball is drawn at random from the bag, what is, the probability that it is not red ?, (a) xx -+ 18, 18, (b), (c), (d), , 18 - x, 18, 18, x + 18, x, 18, , Sol : www.cbse.site/ma/om214, 128. In previous question if 2 more red balls are put in the, bag, the probability of drawing a red ball will be 98, times the probability of drawing a red ball in the first, case. What is the value of x ?, (a) 2, , 1, 6, 1, 12, 1, 5, , (d), , 1, 12, 1, 18, 5, 36, , Sol : www.cbse.site/ma/om216, , Direction For Question : (131-132), Five cards, ten, Jack, Queen, King and Ace of, diamonds are well shuffled. One card is picked up, from them., 131. What is the probability that the drawn card is, Queen?, (a) 24, (b), (c), (d), , 1, 5, 3, 5, 4, 5, , Sol : www.cbse.site/ma/om217, 132. If Queen is put aside, then what is the probability, that the second card drawn is an ace?, (a) 15, (b), (c), (d), , 1, 4, 3, 5, 4, 5
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 186, , Probability, , Sol : www.cbse.site/ma/om217, , (d), , Chap 8, 53, 366, , Sol : www.cbse.site/ma/om222, 133. From all the two digit numbers a number is chosen, at random. What is the probability that the chosen, number is a multiple of 7?, (a) 107, (b), (c), (d), , 13, 90, 5, 10, 17, 90, , Sol : www.cbse.site/ma/om218, 134. A box contains cards, number 1 to 90. A card is drawn, at random from the box. What is the probability, that the selected card bears a two digit number?, (a) 109, (b), (c), (d), , 7, 18, 8, 9, 5, 16, , 138. Jayanti throws a pair of dice and records the product, of the numbers appearing on the dice. Pihu throws, 1 dice and records the squares the number that, appears on it. Who has the better chance of getting, the number 36? Justify?, (a) Pihu has better chances because, her probability, of getting square 36 is higher than Jayanti., (b) Jayanti has better chances because, her, probability of getting square 36 is higher than, Pihu., (c) Pihu has better chances because, her probability, of getting square 36 is lesser than Jayanti., (d) Jayanti has better chances because, her, probability of getting square 36 is lesser than, Pihu., Sol : www.cbse.site/ma/om223, , Sol : www.cbse.site/ma/om219, 135. A box contains cards, number 1 to 90. A card is drawn, at random from the box. What is the probability that, the selected card bears a perfect square number?, (a) 109, (b), (c), (d), , 1, 10, 8, 9, 5, 16, , Sol : www.cbse.site/ma/om220, , 139. The probability of selecting a blue marble at random, from a jar that contains only blue, black and green, marbles is 15 . The probability of selecting a black, marble at random from the same jar is 14 . If the jar, contains 11 green marbles, what is the total number, of marbles in the jar?, (a) 20, (b) 25, (c) 30, (d) 35, Sol : www.cbse.site/ma/om224, , 136. Two different dice are thrown together. What is the, probability that the number obtained have a product, less than 16?, (a) 13, 18, (b), (c), (d), , 5, 12, 2, 3, 13, 36, , Sol : www.cbse.site/ma/om221, 137. What is the probability that a randomly taken leap, year has 52 Sundays?, 52, (a) 365, (b), (c), , 5, 7, 52, 366, , Direction For Question : (140-142), Cards marked with numbers 3, 4, 5, .........50 are, placed in a bag and mixed thoroughly. One card is, drawn at random from the bag., 140. What is the probability that number on the card, drawn is divisible by 7?, (a) 23, 48, (b), (c), (d), , 7, 48, 1, 6, 1, 8, , Sol : www.cbse.site/ma/om225
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 8, , Probability, , 141. What is the probability that number on the card, drawn is a perfect square?, (a) 23, 48, (b), (c), (d), , 7, 48, 1, 6, 1, 8, , Sol : www.cbse.site/ma/om225, , Sol : www.cbse.site/ma/om226, 146. What is the probability that the drawn card is a face, card?, (a) 231, (b), (c), (d), , 142. What is the probability that number on the card, drawn is a multiple of 6?, (a) 23, 48, (b), (c), (d), , 7, 48, 1, 6, 1, 8, , Sol : www.cbse.site/ma/om225, , 147. A box contains 20 cards from 1 to 20. A card is drawn, at random from the box. What is the probability, that the number on the drawn card is divisible by, 2 or 3?, (a) 205, (c), , 143. What is the probability that the drawn card is of red, colour?, (a) 267, (b), (c), (d), , 10, 23, 5, 13, 46, 52, , Sol : www.cbse.site/ma/om226, , (d), , (b), (c), (d), , 10, 23, 2, 23, 3, 23, , Sol : www.cbse.site/ma/om226, , Direction For Question : (148-151), A box contains cards bearing numbers from 6 to 70., One card is drawn at random from the box., 148. What is the probability that it bears a one digit, number ?, (a) 654, (b), (d), , (b), (c), (d), , 10, 23, 2, 23, 3, 23, , 1, 5, 12, 65, 3, 13, , Sol : www.cbse.site/ma/om228, 149. What is the probability that it bears a number, divisible by 5?, (a) 659, (b), (c), , 145. What is the probability that the drawn card is an, ace?, (a) 231, , 3, 20, 4, 20, 17, 20, , Sol : www.cbse.site/ma/om227, , (c), 144. What is the probability that the drawn card is a, queen?, (a) 231, , 10, 23, 2, 23, 3, 23, , Sol : www.cbse.site/ma/om226, , (b), , Direction For Question : (143-146), All the red face cards are removed from a pack of 52, playing cards. A card is drawn at random from the, remaining cards, after reshuffling them., , Page 187, , (d), , 1, 5, 12, 65, 3, 13, , Sol : www.cbse.site/ma/om228, 150. What is the probability that it bears an odd number
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 188, , Probability, , less than 30?, (a) 654, (b), (c), (d), , 12, 65, 9, 70, 13, 70, , Sol : www.cbse.site/ma/om228, , Direction For Question : (155-157), Three digit number are made using the digits 4, 5,, 9 (without repetition). A number among them is, selected at random,, 155. What is the probability that the number will be a, multiple of 5 ?, (a) 13, (b), , 151. What is the probability that it bears a composite, number between 50 and 70?, (a) 654, (b), (c), (d), , 3, 13, 9, 70, 13, 70, , Sol : www.cbse.site/ma/om228, , (c), (d), , 152. What is probability of drawing the red ball?, (a) 35, (b), (c), (d), , 1, 5, 4, 5, 2, 5, , Sol : www.cbse.site/ma/om229, 153. What is probability of drawing the blue ball?, (a) 35, (b), (c), (d), , 1, 5, 4, 5, 2, 5, , Sol : www.cbse.site/ma/om229, , 156. What is the probability that the number will be a, multiple of 9, (a) 13, (c), , (b), (c), (d), , 1, 5, 4, 5, 2, 5, , Sol : www.cbse.site/ma/om229, , 5, 6, 2, 3, , (d) 1, Sol : www.cbse.site/ma/om230, 157. What is the probability that the number will end, with 9 ?, (a) 13, (b), (c), , 5, 6, 2, 3, , (d) 1, Sol : www.cbse.site/ma/om230, 158. A number x is selected at random from the numbers, 1, 2, 3 and 4. Another number y is selected at, random from the numbers 1, 4, 9 and 16. What is the, probability that product of x and y is less than 16?, (a) 12, (b), (c), (d), , 154. What is probability of drawing the blue ball if of 5, extra red balls are actually added ?, (a) 35, , 5, 6, 2, 3, 1, 6, , Sol : www.cbse.site/ma/om230, , (b), Direction For Question : (152-154), A bag contains 15 balls of which x are blue and the, remaining are red. If the number of red balls are, increased by 5, the probability of drawing the red, balls doubles., , Chap 8, , 5, 16, 9, 16, 7, 16, , Sol : www.cbse.site/ma/om231, 159. Two different dice are rolled together once. What is, the probability of numbers coming on the tops whose, product is a perfect square?, (a) 367, (b), , 7, 9
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 8, (c), (d), , Probability, 2, 9, 5, 36, , Sol : www.cbse.site/ma/om232, , Page 189, , 164. Two different dice are thrown together. What is the, probability that the numbers obtained have even, sum?, (a) 0.50, (b) 0.3, (c) 0.8, , Direction For Question : (160-161), A box contains 125 shirts of which 110 are good 12, have minor defects and 3 have major defects. Ram, Lal will buy only those shirts which are good while, Naveen will reject only those which have major, defects. A shirt is taken out at random from the box., 160. What is the probability that Ram Lal will buy it?, (a) 23, 25, (b), (c), (d), , 22, 25, 88, 125, 112, 125, , Sol : www.cbse.site/ma/om233, 161. What is the probability that Naveen will buy it?, (a) 122, 125, (b), (c), (d), , 22, 25, 88, 125, 112, 125, , Sol : www.cbse.site/ma/om233, 162. A box contains 90 discs which are numbered 1 to 90., If one disc is drawn at random from the box, what, is the probability that it bears a two digit number?, (a) 109, (b), (c), (d), , 1, 9, 11, 90, 8, 90, , Sol : www.cbse.site/ma/om233, 163. A box contains 90 discs which are numbered 1 to 90., If one disc is drawn at random from the box, what is, the probability that it bears number divisible by 5., (a) 15, (b), (c), (d), , 1, 9, 11, 90, 8, 90, , Sol : www.cbse.site/ma/om234, , (d) 0, Sol : www.cbse.site/ma/om235, 165. Two different dice are thrown together. What is the, probability that the numbers obtained have even, product., (a) 0.50, (b) 0.30, (c) 0.65, (d) 0.75, Sol : www.cbse.site/ma/om236, , Direction For Question : (166-169), From a deck of 52 playing cards, Jacks and kings of, red colour and Queen and Aces of black colour are, removed. The remaining cards are mixed and a card, is drown at random., 166. What is the probability that the drawn card is a, black queen ?, (a) 12, (b), , 1, 4, , (c) 0, (d), , 3, 52, , Sol : www.cbse.site/ma/om237, 167. What is the probability that the drawn card is a card, of red colour?, (a) 12, (b), , 1, 4, , (c) 0, (d), , 3, 52, , Sol : www.cbse.site/ma/om237, 168. What is the probability that the drawn card is a Jack, of black colour ?, (a) 12
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 190, (b), (c), (d), , Probability, 1, 4, 1, 22, 3, 52, , Sol : www.cbse.site/ma/om237, , 173. What is the probability that card taken out has a, prime number less than 20?, (a) 12, (b), (c), (d), , 169. What is the probability that the drawn card is face, card ?, (a) 12, (b), (c), (d), , 1, 4, 3, 22, 7, 22, , Sol : www.cbse.site/ma/om237, , Chap 8, , 51, 100, 49, 100, 2, 25, , Sol : www.cbse.site/ma/om238, 174. In Figure a disc on which a player spins an arrow, twice. The fraction ab is formed, where a is the, number of sector on which arrow stops on the first, spin and ‘b’ is the number of the sector in which the, arrow stops on second spin, On each spin, each sector, has equal chance of selection by the arrow. What is, the probability that the fraction ab > 1, , Direction For Question : (170-173), Cards on which numbers 1, 2, 3 .......... 100 are, written (one number on one card and no number is, repeated), put in a bag and are mixed thoroughly. A, card is drawn at random from the bag., 170. What is the probability that card taken out has an, even number?, (a) 12, (b), (c), , 51, 100, 49, 100, , (d) 0, Sol : www.cbse.site/ma/om238, 171. What is the probability that card taken out has a, number which is a multiple of 13?, (a) 12, (b), (c), (d), , 51, 100, 49, 100, 7, 100, , Sol : www.cbse.site/ma/om238, , (a), (b), (c), (d), , 5, 12, 7, 12, 7, 18, 5, 18, , Sol : www.cbse.site/ma/om239, 175. A bag contains 25 cards numbered from 1 to 25. A, card is drawn at random from the bag. What is the, probability that the number on the drawn card is :, (i) divisible by 3 or 5, (ii) a perfect square number., (a) 25, (b), (c), (d), , 12, 25, 3, 5, 13, 25, , Sol : www.cbse.site/ma/om240, 172. What is the probability that card taken out has a, perfect square number?, (a) 12, (b), (c), (d), , 1, 10, 49, 100, 7, 10, , Sol : www.cbse.site/ma/om238, , 176. A dice is rolled twice. What is the probability that 5, will not come up either time?, (a) 185, (b), (c), (d), , 25, 36, 13, 36, 11, 36
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 8, , Probability, , Page 191, , 178. What is the probability the person is a Democrat ?, (a) 0.48, , Sol : www.cbse.site/ma/om241, , (b) 0.39, (c) 0.63, , COMPETENCEY BASED QUESTIONS, , (d) 0.51, Sol : www.cbse.site/ma/om242, , Direction For Question : (177-181), Political survey questions are questions asked to, gather the opinions and attitudes of potential, voters. Political survey questions help you identify, supporters and understand what the public needs., Using such questions, a political candidate or an, organization can formulate policies to gain support, from these people., , 179. What is the probability the person is a Independent, men ?, (a) 0.16, (b) 0.14, (c) 0.07, (d) 0.21, Sol : www.cbse.site/ma/om242, 180. What is the probability the person is a Independent, men or green party men ?, (a) 0.30, (b) 0.10, (c) 0.40, (d) 0.20, Sol : www.cbse.site/ma/om242, , A survey of 100 voters was taken to gather information, on critical issues and the demographic information, collected is shown in the table. One out of the 100, voters is to be drawn at random to be interviewed on, the India Today News on prime time., Women, , Men, , Totals, , Republican, , 17, , 20, , 37, , Democrat, , 22, , 17, , 39, , Independent, , 8, , 7, , 15, , Green Party, , 6, , 3, , 5, , Totals, , 53, , 47, , 100, , 177. What is the probability the person is a woman or a, Republican ?, (a) 0.63, (b) 0.73, (c) 0.54, (d) 0.84, Sol : www.cbse.site/ma/om242, , 181. What is the probability the person is not a, Independent Women or Republican men ?, (a) 0.72, (b) 0.94, (c) 0.64, (d) 0.84, Sol : www.cbse.site/ma/om242, 182. A large water bottling plant can remain at full, production as long as one of its two generators is, functioning. Due to past experience and the age, difference between the systems, the plant manager, estimates the probability of the main generator, failing is 0.05, the probability of the secondary, generator failing is 0.01, and the probability of both
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 192, failing is 0.007., , What is the probability the plant remains in full, production today?, (a) 88%, , Probability, , Chap 8, , Sol : www.cbse.site/ma/om244, 184. A fire station gets an emergency call from a shopping, mall in the mid-afternoon. From a study of traffic, patterns, Chief fire officer DK Jain knows the, probability the most direct route is clogged with, traffic is 0.11, while the probability of the secondary, route being clogged is 0.13. The probability both are, clogged is 0.03., , (b) 99.3%, (c) 88.8%, (d) 99.4%, Sol : www.cbse.site/ma/om243, 183. A hydrofoil is a lifting surface, or foil, that operates in, water. They are similar in appearance and purpose to, aerofoils used by aeroplanes. Boats that use hydrofoil, technology are also simply termed hydrofoils. As a, hydrofoil craft gains speed, the hydrofoils lift the, boat’s hull out of the water, decreasing drag and, allowing greater speeds., What is the probability they can respond to the call, unimpeded using one of these routes?, (a) 97%, (b) 98%, (c) 93%, (d) 88%, Sol : www.cbse.site/ma/om245, , Inter-Island Waterways has just opened hydrofoil, service between several islands. The hydrofoil is, powered by two engines, one forward and one aft, and, will operate if either of its two engines is functioning., Due to testing and past experience, the company, knows the probability of the aft engine failing is P, (aft engine fails)= 0.05 the probability of the forward, engine failing is P (forward engine fails)= 0.03, and, the probability that both fail is P (both engines, simultaneously fail)= 0.013. What is the probability, the hydrofoil completes its next trip?, (a) 0.980, , Direction For Question : (185-189), Eight Ball : This is a game played on a pool table, with 15 balls numbered 1 through 15 and a cue ball, that is solid white. Of the 15 numbered balls, 8 are, a solid (nonwhite) color and numbered 1 through 8,, and seven are striped balls numbered 9 through 15., , (b) 0.988, (c) 0.987, (d) 0.972, , The fifteen numbered pool balls (no cueball) are
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 8, , Probability, , placed in a large bowl and mixed, then one is drawn, out., , Page 193, , Double-six Dominos : It is a game played with the 28, numbered tiles shown in the diagram., , 185. What is the probability of drawing the eight ball ?, (a) 0, (b), (c), (d), , 1, 15, 2, 15, 7, 15, , Sol : www.cbse.site/ma/om246, 186. What is the probability of drawing a number greater, than fifteen ?, (a) 0, (b), (c), (d), , 1, 15, 2, 15, 7, 15, , Sol : www.cbse.site/ma/om246, 187. What is the probability of drawing an even number ?, (a) 0, (b), (c), (d), , 1, 15, 2, 15, 7, 15, , Sol : www.cbse.site/ma/om246, 188. What is the probability of drawing a multiple of, three ?, (a) 154, (b), (c), (d), , 1, 3, 8, 15, 7, 15, , Sol : www.cbse.site/ma/om246, 189. What is the probability of drawing a solid color and, an even number ?, (a) 154, (b), (c), (d), , 1, 3, 8, 15, 7, 15, , Sol : www.cbse.site/ma/om246, , Direction For Question : (190-193), , The 28 dominos are placed in a bag, shuffled, and, then one domino is randomly drawn. Give the, following answer., 190. What is the probability the total number of dots on, the domino is three or less ?, (a) 72, (b), (c), (d), , 5, 14, 3, 14, 3, 7, , Sol : www.cbse.site/ma/om247, 191. What is the probability the total number of dots on, the domino is greater than three ?, 11, (a) 14, (b), (c), (d), , 9, 14, 13, 14, 3, 14, , Sol : www.cbse.site/ma/om247, 192. What is the probability the total number of dots on
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 194, , Probability, , the domino does not have a blank half ?, (a) 143, (b), (c), (d), , 3, 4, 5, 14, 3, 7, , Sol : www.cbse.site/ma/om247, 193. What is the probability the total number of dots on, the domino is not a “double” (both sides the same) ?, (a) 143, (b), (c), (d), , 3, 4, 5, 14, 3, 7, , Sol : www.cbse.site/ma/om247, , Direction For Question : (194-196), Family Structures : For a recent year, 51% of the, families in the United States had no children under, the age of 18; 20% had one child; 19% had two, children; 7% had three children; and 3% had four or, more children., , Chap 8, , (c) 0.26, (d) 0.46, Sol : www.cbse.site/ma/om248, 196. What is the probability that the family has less than, three children?, (a) 0.29, (b) 0.90, (c) 0.26, (d) 0.46, Sol : www.cbse.site/ma/om248, , Direction For Question : (197-200), Abhinav Bindra is retired sport shooter and currently, India’s only individual Olympic gold medalist. His, gold in the 10-meter air rifle event at the 2008, Summer Olympics was also India’s first Olympic gold, medal since 1980. He is the first Indian to have held, concurrently the world and Olympic titles for the, men’s 10-meter air rifle event, having earned those, honors at the 2008 Summer Olympics and the 2006, ISSF World Shooting Championships. Bindra has, also won nine medals at the Commonwealth Games, and three gold medals at the Asian Games., , If a family is selected at random, find the following, probability., 194. What is the probability that the family has two or, three children?, (a) 0.29, (b) 0.90, (c) 0.26, (d) 0.46, Sol : www.cbse.site/ma/om248, 195. What is the probability that the family has more, than one child?, (a) 0.29, (b) 0.90, , A circular dartboard has a total radius of 8 inch,, with circular bands that are 2 inch wide, as shown, in figure. Abhinav is still skilled enough to hit this, board 100% of the time so he always score at least, two points each time he throw a dart. Assume the, probabilities are related to area, on the next dart, that he throw.
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 8, , Probability, , Page 195, , Apurvi Singh Chandela is an Indian Shooting player, who competes in the 10 metre air rifle event. She, won the gold medal in the 2019 ISSF World Cup in, New Delhi. She is the world champion and currently, ranked number one in 10 metre air rifle shooting. She, is a recipient of Arjuna award., , 197. What is the probability that he score at least 4 ?, (a) 165, (b), (c), (d), , 9, 16, 1, 4, 1, 16, , Sol : www.cbse.site/ma/om249, 198. What is the probability that he score at least 6 ?, (a) 165, (b), (c), (d), , Apurvi is able to hit a 10 in. by 20 in. target 100%, of the time at a range of 100 metre. Assuming the, probability she hits a target is related to its area,, what is the probability she hits the shaded portions, shown?, , 9, 16, 1, 4, 1, 16, , Sol : www.cbse.site/ma/om249, 199. What is the probability that he hit bull’s eye ?, (a) 165, (b), (c), (d), , 9, 16, 1, 4, 1, 16, , Sol : www.cbse.site/ma/om249, 200. What is the probability that he score exactly 4, points ?, (a) 165, (b), (c), (d), , 9, 16, 1, 4, 1, 16, , 201. What is the probability she hits the isosceles triangle, shown in figure in (i)?, (a) 83, (b), (c), (d), , 1, 2, 3, 8, 3, 4, , Sol : www.cbse.site/ma/om250, , Sol : www.cbse.site/ma/om249, , Direction For Question : (201-204), , 202. What is the probability she hits the right triangle, shown in figure in (ii) ?, (a) 83, (b), , 1, 2
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 196, (c), (d), , Probability, , Chap 8, , 3, 8, 3, 4, , Sol : www.cbse.site/ma/om250, 203. What is the probability she hits the equilateral, triangle shown in figure in (iii)?, (a) 83, (b), (c), (d), , 1, 2, 3, 8, 3, 4, , Sol : www.cbse.site/ma/om250, 204. What is the probability she hits the isosceles, trapezoid with b = B2 shown in figure in (iv)?, (a) 83, (b), (c), (d), , 1, 2, 3, 8, 3, 4, , Sol : www.cbse.site/ma/om250, , Direction For Question : (205-208), Blood Group : Blood type or blood group is a, medical term. It describes the type of blood a person, has. It is a classification of blood based on the, presence or absence of inherited antigenic substances, on the surface of red blood cells (RBCs). Blood types, predict whether a serious reaction will occur in a, blood transfusion., , In a sample of 50 people, 21 had type O blood, 22, had type A blood, 5 had type B blood, and 2 had, type AB blood. Set up a frequency distribution and, find the following probabilities., 205. What is the probability that a person has type O, blood ?, (a) 0.14, (b) 0.42, (c) 0.96, (d) 0.54, Sol : www.cbse.site/ma/om251, 206. What is the probability that a person has type A or, type B blood ?, (a) 0.14, (b) 0.42, (c) 0.96, (d) 0.54, Sol : www.cbse.site/ma/om251, 207. What is the probability that a person has neither, type A nor type O blood ?, (a) 0.14, (b) 0.42, (c) 0.96, (d) 0.54, Sol : www.cbse.site/ma/om251
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 8, , Probability, , 208. What is the probability that a person does not have, type AB blood ?, (a) 0.14, (b) 0.42, , Page 197, , (b) 0.08, (c) 0.75, (d) 0.46, Sol : www.cbse.site/ma/om252, , (c) 0.96, (d) 0.54, , 210. What is the probability that it has more than 100, computers?, (a) 0.25, , Sol : www.cbse.site/ma/om251, , (b) 0.08, Direction For Question : (209-212), Computers in Elementary Schools : Computer-based, learning (CBL) refers to any teaching methodology, that makes use of computers for information, transmission or input. At an elementary school, level, computer applications can be used to display, multimedia lesson plans or students can input, examination answers into a computer to facilitate, grading and evaluation. Multimedia formats and, applications that allow students to pause content, are especially valuable in early childhood education, especially since students are coming to school with, different competencies, learning styles and speeds for, absorbing information., , (c) 0.75, (d) 0.46, Sol : www.cbse.site/ma/om252, 211. What is the probability that it has no more than 20, computers?, (a) 0.25, (b) 0.08, (c) 0.75, (d) 0.46, Sol : www.cbse.site/ma/om252, 212. What is the probability that it has more than 50, computers?, (a) 0.25, (b) 0.08, (c) 0.75, (d) 0.46, Sol : www.cbse.site/ma/om252, , Total 1000 elementary and secondary schools of, Rajasthan were classified by the number of computers, they had., , Direction For Question : (213-216), Hospital Stays : Hospital records indicated that, maternity patients stayed in the hospital for the, number of days shown in the distribution., Number of days stayed, , Frequency, , Computers 1–10 11–20 21–50 51–100 100 more, , 3, , 13, , Schools, , 4, , 22, , Choose one school at random and find the following, probability., , 5, , 45, , 6, , 14, , 209. What is the probability that it has 50 or fewer, computers?, (a) 0.25, , 7, , 6, , 250, , 210, , 290, , 170, , 80, , 100
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 198, , Probability, , Chap 8, , a relationship between age and accidents. The data, obtained are listed in following table., , 213. What is the probability that a patient stayed exactly, 5 days?, (a) 0.45, , Age, , 0, , 1, , 2, , 3, , Over 3, , Under 20, , 50, , 62, , 53, , 35, , 20, , 20–29, , 64, , 93, , 67, , 40, , 36, , 30–39, , 82, , 68, , 32, , 14, , 4, , 40–49, , 38, , 32, , 20, , 7, , 3, , Over 49, , 43, , 50, , 35, , 28, , 24, , (b) 0.80, (c) 0.35, (d) 0.65, Sol : www.cbse.site/ma/om253, 214. What is the probability that a patient stayed less, than 6 days?, (a) 0.45, (b) 0.80, (c) 0.35, (d) 0.65, Sol : www.cbse.site/ma/om253, 215. What is the probability that a patient stayed at most, 4 days?, (a) 0.45, , Compute the probabilities of the following events for, a driver chosen at random in the city., 217. What is the probability of being under 20 years old, and having exactly three accidents in 1 year ?, (a) 0.309, (b) 0.277, (c) 0.350, , (b) 0.80, , (d) 0.118, , (c) 0.35, , Sol : www.cbse.site/ma/om254, , (d) 0.65, Sol : www.cbse.site/ma/om253, 216. What is the probability that a patient stayed at least, 5 days?, (a) 0.45, , 218. What is the probability of being 30–39 years old and, having one or more accidents in 1 year?, (a) 0.309, (b) 0.277, (c) 0.350, , (b) 0.80, , (d) 0.118, , (c) 0.35, , Sol : www.cbse.site/ma/om254, , (d) 0.65, Sol : www.cbse.site/ma/om253, , Direction For Question : (217-220), Insurance : An insurance company selected 1000, drivers at random in a particular city to determine, , 219. What is the probability of having no accidents in 1, year ?, (a) 0.309, (b) 0.277, (c) 0.350, (d) 0.118
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 8, Sol : www.cbse.site/ma/om254, 220. What is the probability of being under 20 years old, or having exactly three accidents in 1 year?, (a) 0.309, (b) 0.277, , Probability, , Page 199, , odd number which is not less than 70 ?, (a) 0.13, (b) 0.14, (c) 0.12, (d) 0.15, Sol : www.cbse.site/ma/om255, , (c) 0.350, (d) 0.118, Sol : www.cbse.site/ma/om254, , 225. What is the probability that card taken out has an, odd number which is not multiple of 11 ?, (a) 0.25, (b) 0.50, , Direction For Question : (221-225), Cards on which numbers 1, 2, 3 .......... 100 are, written (one number on one card and no number is, repeated), put in a bag and are mixed thoroughly., A card is drawn at random from the bag. Find the, following probability., 221. What is the probability that card taken out has a, odd number ?, (a) 0.25, (b) 0.49, (c) 0.50, (d) 0.51, Sol : www.cbse.site/ma/om255, 222. What is the probability that card taken out has a, two digit odd number ?, (a) 0.23, , (c) 0.40, (d) 0.45, Sol : www.cbse.site/ma/om255, , Direction For Question : (226-229), Deepika Kumari is an Indian athlete who competes, in the event of archery, is currently ranked World, No. 9, and is a former world number one. She won, a gold medal in the 2010 Commonwealth games in, the women’s individual recurve event. She also won a, gold medal in the same competition in the women’s, team recurve event along with Dola Banerjee and, Bombayala Devi. Kumari qualified for the 2012, Summer Olympics in London, where she competed in, the Women’s Individual and Women’s team events,, finishing in eighth place in the latter., , (b) 0.45, (c) 0.56, (d) 0.34, Sol : www.cbse.site/ma/om255, 223. What is the probability that card taken out has a, odd number which is multiple of 11?, (a) 0.05, (b) 0.10, (c) 0.12, (d) 0.06, Sol : www.cbse.site/ma/om255, 224. What is the probability that card taken out has an, , Deepika can hit the rectangular target shown, 100% of the time at a range of 80 m. Assuming the, probability the target is hit is related to its area,, answer the following.
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 200, , Probability, , Chap 8, , 230. Remdesivir was the first drug approved by the FDA, for treating the SARS-CoV-2 virus. It is indicated, for treatment of COVID-19 disease in hospitalized, adults and children aged 12 years and older who, weigh at least 40 kg., , 226. What is the probability the Deepika hits within the, triangle ?, (a) 367, (b), (c), (d), , 11, 18, 5, 12, 7, 18, , Sol : www.cbse.site/ma/om256, 227. What is the probability the Deepika hits within the, circle ?, (a) 367, (b), (c), (d), , 11, 18, 5, 12, 7, 18, , In a medical experiment, a Remdesivir is found to, help 2,400 out of 4,000 people. If a doctor prescribes, the Remdesivir for a particular patient, what is the, approximate empirical probability that the patient, will be helped?, (a) 0.5, (b) 0.6, (c) 0.7, (d) 0.8, Sol : www.cbse.site/ma/om257, , Sol : www.cbse.site/ma/om256, 228. What is the probability the Deepika hits within the, circle but outside the triangle ?, (a) 367, (b), (c), (d), , 11, 18, 5, 12, 7, 18, , Sol : www.cbse.site/ma/om256, 229. What is the probability the Deepika hits within the, rectangle but outside the circle ?, (a) 367, (b), (c), (d), , 11, 18, 5, 12, 7, 18, , Sol : www.cbse.site/ma/om256, , 231. Out of 460 times at bat, a baseball player gets 207, hits. What is the approximate empirical probability
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 8, , Probability, , that the player will get a hit next time at bat?, , (c), (d), , Page 201, 1, 4, 5, 8, , Sol : www.cbse.site/ma/om259, 233. What is the probability of getting the sum as a prime, number ?, (a) 125, (b), (c), (d), , 1, 6, 7, 12, 11, 12, , Sol : www.cbse.site/ma/om259, 234. What is the probability of getting the sum of atleast, 10?, (a) 125, (b), (c), (d), , 5, 6, 1, 6, 7, 12, , Sol : www.cbse.site/ma/om259, (a) 0.35, (b) 0.45, (c) 0.55, (d) 0.65, Sol : www.cbse.site/ma/om258, , 235. What is the probability of getting a doublet of even, number ?, (a) 121, (b), (c), (d), , 5, 12, 11, 12, 7, 12, , Sol : www.cbse.site/ma/om259, Direction For Question : (232-236), In two dice game, the player take turns to roll both, dice, they can roll as many times as they want in one, turn. A player scores the sum of the two dice thrown, and gradually reaches a higher score as they continue, to roll. If a single number 1 is thrown on either die,, the score for that whole turn is lost. Two dice are, thrown simultaneously., , 236. What is the probability of getting a product of, numbers greater than 16?, (a) 367, (b), (c), (d), , 2, 9, 5, 18, 11, 36, , Sol : www.cbse.site/ma/om259, , 232. What is the probability of getting the sum as an even, number ?, (a) 34, (b), , 1, 2, , Direction For Question : (237-241), A survey was taken at a high school, and the results, were put in a circle graph. The students were asked, to list their favourite colours. The measurement of, each central angle is shown. If a person is chosen at
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 202, random from the school, find the probability of each, response., , Probability, , Chap 8, , (c) 0.25, (d) 0.50, Sol : www.cbse.site/ma/om260, 241. What is the probability of favourite colour being, red or blue?, (a) 0.2, (b) 0.3, (c) 0.1, (d) 0.4, Sol : www.cbse.site/ma/om260, , 237. What is the probability of favourite colour being red, ?, (a) 0.1, (b) 0.2, (c) 0.3, (d) 0.4, Sol : www.cbse.site/ma/om260, 238. What is the probability of favourite colour being, blue or green ?, (a) 0.1, , Direction For Question : (242-246), A game at a stall in new year carnival involves, spinning a wheel first as a first step to complete, the game with certain rules. If the wheel stops at a, particular number, then the player is allowed to roll, a 6 faced unbiased dice., Rules of Game:, (i) If the wheel stops at a particular number, then, the player is allowed to roll a unbiased dice., (ii) If the wheel stops at any other number, player get, to try again and only one extra try allowed., (ii) If player reach the next stage and roll a dice, he, may get a prize depending on the number on dice., , (b) 0.2, (c) 0.3, (d) 0.4, Sol : www.cbse.site/ma/om260, 239. What is the probability of favourite colour not being, red or blue?, (a) 0.35, (b) 0.70, (c) 0.15, (d) 0.50, Sol : www.cbse.site/ma/om260, 240. What is the probability of favourite colour not being, orange or green ?, (a) 0.65, (b) 0.75, , 242. What is the probability of getting an even number on, the wheel?, (a) 14, (b), (c), (d), , 1, 2, 1, 8, 1, 16, , Sol : www.cbse.site/ma/om261
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 8, , Probability, , Page 203, , 243. If getting an odd number on the wheel allows a, player to roll the die, then what is the probability of, his rolling the die ?, (a) 14, (b), (c), (d), , 1, 2, 1, 8, 1, 16, , Sol : www.cbse.site/ma/om261, 244. If the player is allowed to roll the dice and getting a, number greater than 4 entitles him to get prize, what, is the probability of his winning the prize?, (a) 34, (b), (c), (d), , 1, 6, 1, 3, 2, 3, , Sol : www.cbse.site/ma/om261, 245. If getting a square number on the wheel allows a, player to roll the dice, then what is the probability, of his rolling the dice ?, (a) 14, (b), (c), (d), , 1, 2, 1, 3, 2, 3, , Sol : www.cbse.site/ma/om261, 246. If the player is allowed to roll the die and getting a, prime number on die entitles him to get prize, then, what is the probability of his winning the prize?, (a) 14, (b), (c), (d), , 1, 2, 1, 3, 1, 6, , Sol : www.cbse.site/ma/om261, , 247. What is the probability of drawing an odd number, card in the first draw by the first boy ?, (a) 178, (b), (c), (d), , 9, 17, 10, 17, 11, 17, , Sol : www.cbse.site/ma/om262, 248. Now in second draw, card drawn in first draw is, replaced. What is the probability of drawing a prime, number card by the second boy?, (a) 176, (b), (c), (d), , 9, 17, 7, 17, 11, 17, , Sol : www.cbse.site/ma/om262, 249. If in second draw, boy got number 2 and the card, is not replaced, what is the probability of drawing, a card bearing a multiple of 3 greater than 5 by the, third boy?, (a) 14, (b), (c), (d), , 1, 3, 2, 3, 5, 6, , Sol : www.cbse.site/ma/om262, Direction For Question : (247-251), Five friends and one of their mother are having a, picnic. The mother deicide to play card game. 17, cards numbered 1, 2, 3 ... 17 are put in a box and, mixed thoroughly. The mother asks each boy to draw, a card and after each draw she shows some magic, tricks based on card number., , 250. If the card is replaced after the third draw, what is, the probability of drawing a card bearing a number, greater than 17 by the fourth boy ?, (a) 0.25, (b) 0.2, (c) 0
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 204, , Probability, , SELF TEST QUESTIONS, , (d) 1, Sol : www.cbse.site/ma/om262, 251. If the card is replaced after the fourth draw, what is, the probability of drawing a card bearing a multiple, of 3 or 7 by the fifth boy?:, (a) 166, (b), (c), (d), , 7, 16, 8, 17, 9, 17, , Sol : www.cbse.site/ma/om262, , Chap 8, , 252. If the probability of wining a game is 0.07, what is, the probability of losing it?, (a) 0.14, (b) 0.93, (c) 0.46, (d) 0.57, Sol : www.cbse.site/ma/om263, 253. A die is thrown once. What is the probability of, getting at most 2?, (a) 23, (b), (c), (d), , 1, 3, 1, 2, 1, 4, , Sol : www.cbse.site/ma/om264, 254. If P ^E h = 0.20 , then what is the probability of not, E?, (a) 0.85, (b) 0.25, (c) 0.10, (d) 0.80, Sol : www.cbse.site/ma/om265, 255. If the probability of winning a game is, probability of losing the game?, (a) 117, (b), (c), (d), , 5, 11, , , what is the, , 3, 11, 1, 11, 6, 11, , Sol : www.cbse.site/ma/om266, 256. If E be an event such that P ^E h = 73 , what is P (not, E ) equal to?, (a) 71, (b), (c), (d), , 2, 7, 3, 7, 4, 7, , Sol : www.cbse.site/ma/om267
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 8, , Probability, , 257. A bag contains lemon flavoured candies only. Shalini, takes out one candy without looking into the bag., What is the probability that she takes out an orange, flavoured candy?, (a) 0, (b) 0.50, (c) 0.10, (d) 0.20, Sol : www.cbse.site/ma/om268, , Sol : www.cbse.site/ma/om272, 262. Cards marked with number 3, 4, 5, ..........., 50, are placed in a box and mixed thoroughly. A card, is drawn at random from the box. What is the, probability that the selected card bears a perfect, square number?, (a) 78, (b), (c), , 258. If a number x is chosen a random from the number, - 3 , - 2 , - 1, 0, 1, 2, 3. What is probability that, x2 # 4 ?, (a) 76, (b), (c), (d), , 5, 7, 2, 7, 1, 7, , Sol : www.cbse.site/ma/om269, 259. Out of 200 bulbs in a box, 12 bulbs are defective. One, bulb is taken out at random from the box. What is, the probability that the drawn bulb is not defective?, (a) 503, (b), (c), (d), , 3, 25, 47, 50, 2, 25, , Sol : www.cbse.site/ma/om270, , (d), , (b), (c), (d), , 7, 13, 2, 5, 3, 5, , Sol : www.cbse.site/ma/om271, , 263. 20 tickets, on which numbers 1 to 20 are written,, are mixed thoroughly and then a ticket is drawn at, random out of them. What is the probability that, the number on the drawn ticket is a multiple of 3, or 7?, (a) 25, (b), (c), (d), , (b), (c), (d), , 10, 13, 5, 26, 21, 26, , 3, 5, 1, 2, 1, 3, , Sol : www.cbse.site/ma/om274, 264. What is the probability that a non-leap year has 53, Mondays ?, (a) 76, (c), (d), , 1, 7, 2, 7, 3, 7, , Sol : www.cbse.site/ma/om275, 265. Two different dice are tossed together. What is the, probability that the product of the number on the, top of the dice is 6?, (a) 29, (b), , 261. A letter of English alphabet is chosen at random., What is the probability that the chosen letter is a, consonant?, (a) 133, , 1, 8, 1, 4, 3, 4, , Sol : www.cbse.site/ma/om273, , (b), 260. A card is drawn at random from a well shuffled pack, of 52 cards. What is the probability of getting neither, a red card nor a queen?, (a) 136, , Page 205, , (c), (d), , 1, 9, 4, 9, 5, 9, , Sol : www.cbse.site/ma/om276, 266. A game of chance consists of spinning an arrow which, comes to rest pointing at one of the numbers 1, 2,
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 206, , Probability, , 3, 4, 5, 6, 7, 8 and these are equally likely outcomes., What is the probability that the arrow will point at, any factor of 8 ?, (a) 38, (b), (c), (d), , 5, 8, 7, 8, 1, 2, , Sol : www.cbse.site/ma/om277, , Chap 8, , Sol : www.cbse.site/ma/om281, 271. A die is thrown once. What is the probability of, getting a prime number?, (a) 12, (b), (c), (d), , 1, 3, 1, 4, 1, 5, , Sol : www.cbse.site/ma/om282, 267. A bag contains cards numbered from 1 to 25. A, card is drawn at random from the bag. What is the, probability that number is divisible by both 2 and 3?, (a) 254, (b), (c), (d), , 2, 25, 1, 25, 3, 25, , Sol : www.cbse.site/ma/om278, , 272. A girl calculates the probability of her winning the, game in a match and What is it 0.08. What is the, probability of her losing the game?, (a) 0.90, (b) 0.92, (c) 0.58, (d) 0.88, Sol : www.cbse.site/ma/om283, , 268. A number is selected at random from 1 to 30. What, is the probability that it is a prime number?, (a) 11, 30, (b), (c), (d), , 7, 30, 13, 30, 1, 3, , Sol : www.cbse.site/ma/om279, , 273. The probability of getting a bad egg in a lot of 400, eggs is 0.035. What is the number of bad eggs in the, lot?, (a) 13, (b) 14, (c) 15, (d) 16, , 269. A box contains 90 discs, numbered from 1 to 90. If, one disc is drawn at random from box, what is the, probability that it bears a prime number less than, 23?, (a) 15, (b), (c), (d), , 2, 5, 2, 45, 4, 45, , Sol : www.cbse.site/ma/om280, 270. From the number 3, 5, 5, 7, 7, 7, 9, 9, 9, 9, one, number is selected at random, what is the probability, that the selected number is mean?, (a) 25, (b), (c), (d), , 3, 10, 1, 10, 7, 10, , Sol : www.cbse.site/ma/om284, 274. In tossing a die, what is the probability of getting an, odd number or number less than 4 ?, (a) 23, (b), (c), (d), , 1, 3, 2, 5, 1, 5, , Sol : www.cbse.site/ma/om285, 275. Two different dice are tossed together. What is the, probability that the sum of numbers appearing on, the two dice is 5 ?, (a) 19, (b), (c), (d), , 1, 4, 3, 4, 1, 6
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 8, , Probability, , Sol : www.cbse.site/ma/om286, 276. A bag contains 3 red, 4 green and 5 white candles,, one candle is drawn at random from the bag, what is, the probability that candle is not red?, (a) 121, (b), (c), (d), , 1, 6, 1, 4, 3, 4, , Sol : www.cbse.site/ma/om287, 277. Two dice, one blue and one grey, are thrown at the, same time. What is the probability that the sum of, the two numbers appearing on the top of the dice is, 8?, 31, (a) 36, (b), (c), (d), , 5, 36, 5, 18, 11, 18, , Sol : www.cbse.site/ma/om288, , 280. What is the probability of getting C ?, (a) 13, (b), (c), (d), , (b) 15, (c) 16, (d) 17, Sol : www.cbse.site/ma/om289, , 1, 6, 5, 6, 2, 3, , Sol : www.cbse.site/ma/om291, 281. Two different dice are tossed together. What is the, probability of getting a sum 10 of the numbers on, the two dice?, (a) 16, (b), (c), (d), , 5, 6, 1, 12, 2, 3, , Sol : www.cbse.site/ma/om292, 282. Two unbiased coins are tossed simultaneously. What, is the probability of getting no head?, (a) 14, (b), (c), , 278. A bag contains 5 red balls and some blue balls. If, the probability of drawing a blue ball from the bag, is thrice that of the red ball, what is the number of, blue balls in the bag?, (a) 14, , Page 207, , 3, 4, 1, 2, , (d) 1, Sol : www.cbse.site/ma/om293, 283. Three different coins are tossed together. What is the, probability of getting exactly two heads?, (a) 14, (b), (c), (d), , 5, 8, 7, 8, 3, 8, , Sol : www.cbse.site/ma/om294, Direction For Question : (28-29), A child has a die whose six faces show the letters as, shown below:, A A B C C C, The die is thrown once., 279. What is the probability of getting A?, (a) 13, (b), (c), (d), , 1, 6, 5, 6, 2, 3, , Sol : www.cbse.site/ma/om290, , 284. Three different coins are tossed together. What is the, probability of getting at least two heads ?, (a) 14, (b), (c), (d), , 1, 2, 7, 8, 3, 8, , Sol : www.cbse.site/ma/om295, 285. A box contains 100 cards marked from 1 to 100. If, one card is drawn at random from the box, what is
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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 208, , Probability, , the probability that it bears a number which is a, perfect square?, 9, (a) 100, (b), (c), (d), , 1, 10, 4, 25, 11, 25, , Sol : www.cbse.site/ma/om296, , Chap 8, , 290. One card is drawn from a well-shuffled deck of 52, cards. What is the probability of getting a red face, card?, (a) 24, 52, (b), (c), (d), , 3, 26, 23, 52, 7, 26, , Sol : www.cbse.site/ma/om301, 286. Cards numbered 2 to 101 are placed in a box. A, card is selected at random from the box, what is the, probability that the card selected has an odd number, which is not less than 70?, 91, (a) 100, (b), (c), (d), , 9, 100, 21, 25, 4, 25, , 291. Three unbiased coins are tossed together. What is, the probability of getting at least two heads?, (a) 58, (b), (c), (d), , 3, 8, 1, 2, 1, 4, , Sol : www.cbse.site/ma/om302, , Sol : www.cbse.site/ma/om297, 287. One card is drawn from a well shuffled deck of 52, cards. What is the probability of getting spade card ?, (a) 265, (b), (c), (d), , 10, 13, 13, 26, 1, 4, , Sol : www.cbse.site/ma/om298, 288. Three coins are tossed simultaneously once. What is, the probability of getting at least one tail?, (a) 12, (b), (c), (d), , 7, 8, 3, 4, 5, 8, , Sol : www.cbse.site/ma/om299, 289. A game consists of tossing a one-rupee coin three, times and noting its outcome each time. What is the, probability of getting at least two tails?, (a) 18, (b), (c), (d), , 3, 8, 4, 8, 5, 8, , Sol : www.cbse.site/ma/om300, , 292. Peter throws two different dice together and What, is the product of the two numbers obtained. Rina, throws a die and squares the number obtained. Who, has the better chance to get the number 25?, (a) Peter has better chances because, his probability, of getting the number 24 is higher than Rina., (b) Rina has better chances because, her probability, of getting the number 24 is higher than Peter., (c) Peter has better chances because, his probability, of getting the number 24 is lesser than Rina., (d) Rina has better chances because, her probability, of getting the number 24 is lesser than Peter., Sol : www.cbse.site/ma/om303, 293. Cards numbered 1 to 30 are put in a bag. A card is, drawn at random. What is the probability that the, drawn card is not a perfect square?, (a) 56, (b), (c), (d), , 1, 6, 1, 12, 1, 5, , Sol : www.cbse.site/ma/om304, 294. Two dice are thrown at the same time. What is the, probability of getting same number on both dice?, (a) 16
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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 8, (b), (c), (d), , Probability, 1, 12, 1, 18, 1, 36, , Sol : www.cbse.site/ma/om305, 295. Two different dice are thrown together. What is the, probability that the number obtained is a doublet of, odd numbers., (a) 13, 18, (b), (c), (d), , 5, 12, 4, 9, 1, 4, , Sol : www.cbse.site/ma/om306, 296. A bag contains 25 cards numbered from 1 to 25. A, card is drawn at random from the bag. What is the, probability that the number on the drawn card is a, perfect square number?, (a) 25, (b), (c), (d), , 12, 25, 3, 5, 1, 5, , Sol : www.cbse.site/ma/om307, 297. A dice is rolled twice. What is the probability that 5, will not come up either time?, (a) 23, 36, (b), (c), (d), , 25, 36, 13, 36, 11, 36, , Sol : www.cbse.site/ma/om308, 298. Two different dice are thrown together. What is the, probability that the number obtained have a sum, less than 7?, (a) 13, 18, (b), (c), (d), , 5, 12, 4, 9, 13, 36, , Sol : www.cbse.site/ma/om309, 299. A box contains 20 cards from 1 to 20. A card is drawn, at random from the box. What is the probability that, , Page 209, , the number on the drawn card is a prime number?, (a) 205, (b), (c), (d), , 3, 20, 4, 20, 8, 20, , Sol : www.cbse.site/ma/om310, 300. One card is drawn from a well shuffled deck of 52, cards. What is the probability of getting black king, or a red queen?, (a) 131, (b), (c), (d), , 10, 13, 13, 26, 27, 52, , Sol : www.cbse.site/ma/om311, 301. A bag contains 15 white and some black balls. If, the probability of drawing a black ball from the bag, is thrice that of drawing a white ball, what is the, number of blackballs in the bag?, (a) 40, (b) 45, (c) 50, (d) 55, Sol : www.cbse.site/ma/om312
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MCQ Questions Bank 2021-22, , CLASS X, Term 1, , MATHEMATICS, , For Free 30 Sample Papers PDF Visit, , www.cbse.online, , NODIA AND COMPANY, MRP 520, , 9 789384 843601
