Page 1 :
ARITHMETIC PROGRESSION, Anyone who cannot cope with mathematics is not fully human. At best he is a tolerable, subhuman who has learnt to wear shoes, bath, and not make messes in the house., , By O.P. GUPTA Math Mentor, INDIRA AWARD WINNER, , For detailed solutions, check YouTube Channel., YouTube.com/MathematiciaByOPGupta, , Multiple Choice Questions, with only one correct option., Q01., , If a, b, c are in AP, then:, (a) a c 2b, , Q02., , (b) b a 2c, , (b) 17, th, , 1, 8, , (b) 4, , (c) 5, , (d) 3, , (b) 125, , (c) 115, , (d) 110, , (b) 60, , (c) 55, , (d) 65, , (b) 1, , 1, 8, , (c) 8, , 1, 8, , (d) 1, , (b) 15, , (c) 17, , (d) 19, , (c) n 2, , (d) 0.5 (n 1), , The sum of first n natural number is:, (a) 0.5 n (n 1), , Q10., , (d) 3, , How many natural numbers up to 300 are divisible by 17?, (a) 13, , Q09., , (c) 4, , 1 2 3, The common difference of the AP - 8 , 8 , 8 , ... is:, 8 8 8, , (a), Q08., , (b) –3, , The sum of first 10 natural numbers is:, (a) 50, , Q07., , (d) 19, , The 9th term from the end of the AP - 7, 11, 15, …, 147 is:, (a) 135, , Q06., , (c) 18, , th, , The sum of three numbers in AP is 30. If the greatest is 13 then, its common difference is:, (a) 2, , Q05., , (d) a c b, , The sum of 6 and 7 terms of an AP is 39 and the common difference is 3, then the first term of, AP is:, (a) 2, , Q04., , ab, 2, , Next term of the AP - 9, 11, 13, 15, … is:, (a) 20, , Q03., , (c) c , , n2, (b), 2, , The fifteenth term of the arithmetic progression –23, –19, –15, … is:, , MATHEMATICIA By O.P. GUPTA : MCQ in Mathematics (Class 10), , 1
Page 2 :
By O.P. GUPTA (INDIRA Award Winner), , MATHEMATICIA for Class 10, (a) 30, Q11., , The first negative term of the AP (a) 23, , Q12., , (d) 34th, , (b) 25, , (c) 30, , (d) 33, , (b) 14, , (c) 12, , (d) 15, , (b) –925, , (c) 875, , (d) None of these, , (b) 5, , (c) 6, , (d) 8, , (b) 41, , (c) 46, , (d) None of these, , (b) 1, , (c) 2, , (d) 3, , (b) (m 9n), , (c) (m 9n), , (d) (2m 9), , (b) 74, , (c) 37, , (d) 43, , (b) 23, , (c) 35, , (d) None of these, , (b) 30, , (c) 37, , (d) None of these, , (b) –26, , (c) –32, , (d) –11, , The sum of first 24 terms of the list of numbers whose nth term is a n 3 2n :, (a) 642, , 2, , (c) 37th, , What is the 11th term from last term of the AP - 10, 7, 4, …, –62?, (a) –36, , Q26., , (b) 53rd, , How many two digit numbers are divisible by 3?, (a) 25, , Q25., , (d) 13, , Which term of the A.P. - 21, 18, 15, … is –81?, (a) 27, , Q24., , (c) 12, , The 10th term of the A.P. - 2, 7, 12, … is:, (a) 47, , Q23., , (b) 11, , If 1st term of an AP is m and common difference is n, then the tenth term is:, (a) (m 10n), , Q22., , (d) 2n 4, , In an AP if m times the mth term is equal to n times the nth term, then (m n) th term is:, (a) 0, , Q21., , (c) 2n 2, , The first term of an arithmetic progression is 6 and its common difference is 5. Then 8th term is:, (a) 5, , Q20., , (b) 2n 1, , If 2x, (x 10) and (3x 2) are in AP then x ……?, (a) 4, , Q19., , (d) 22, , The sum of the first 25 terms of an AP whose nth term is given by t n 2 3n , is:, (a) 925, , Q18., , (c) 21, , How many terms of the A.P. - 9, 17, 25, … must taken to give a sum of 636?, (a) 13, , Q17., , (b) 20, , How many two-digit numbers are divisible by 3?, (a) 23, , Q16., , 81 77 73, ,, ,, , ... is:, 5 5 5, , Which term of the AP - 21, 18, 15, … is –78?, (a) 5th, , Q15., , (d) 33, , If 1st and 6th terms of an AP are –12 and 8 and, sum of n terms is 120, then the number of terms is:, (a) 10, , Q14., , (c) 32, , The sum of n terms of an AP is n(n 1) , then the nth term will be:, (a) 2n, , Q13., , (b) 31, , (b) 6420, , (c) 672, , (d) None of these, , MATHEMATICIA By O.P. GUPTA : MCQ in Mathematics (Class 10)
Page 3 :
For all the Math-Gyan, visit at THEOPGUPTA.COM, Q27., , If (p 1), 3p, (4p 2) are in arithmetic progression then the value of p will be:, (a) 1, , Q28., , (b) 2, , (b) 1, , (c) –4, , (d) 3, , (b) 26, , (c) 23, , (d) 32, , (b) 32, , (c) 6, , (d) 3, , 8, 18, 32, ... is:, , (b) 2 5, , (c) 3 3, , (d) 5 3, , (b) 82, , (c) 76, , (d) 67, , (b) –5, –2, 1, …, , (c) 3, 7, 12, 18, …, , (d) 11, 14, 17, 20, …, , (b) 285, , (c) 400, , (d) 421, , (c) 190, , (d) 210, , (c) 385, , (d) 406, , The sum of first 20 natural numbers is:, (b) 170, , The sum of first 10 multiples of 7 is:, (b) 371, , The sum of the AP represented by 3, 7, 11, … is 210. The number of terms in this AP is:, (a) 10, , Q42., , (b) 1, , The sum of the first 20 odd natural numbers is:, , (a) 315, Q41., , (d) 25, , Which of the following is not an AP?, , (a) 110, Q40., , (c) 20, , If for an AP, a 5 a 25 56 , then a15 is:, , (a) 281, Q39., , (b) 19, , The next term of the AP -, , (a) 1, 4, 7, …, Q38., , (d) –1, , The 11th and 13th terms of an AP are 35 and 41 respectively. Its common difference is:, , (a) 28, Q37., , (c) –2, , The 4 term from the end of the AP given as 2, 5, 8, …, 35 is:, , (a) 5 2, Q36., , (d) None of these, , th, , (a) 38, Q35., , (c) 6750, , The first positive term of the arithmetic progression –11, –8, –5, … is:, , (a) 29, Q34., , (d) Can’t be determined, , The number of terms in 2, 5, 8, …, 59 is:, , (a) –2, Q33., , (b) 7350, , (b) 2, , (a) 12, Q32., , (c) –1, , The common difference of the AP whose general term is a n 2n 1 is:, (a) 1, , Q31., , (d) 4, , The sum of all even numbers between 100 and 200 will be:, (a) 5640, , Q30., , (c) 3, , a n 1 b n 1, If, is the arithmetic mean between ‘a’ and ‘b’, then value of n will be:, a n bn, (a) 0, , Q29., , WhatsApp @ +919650350480, , (b) 12, , (c) 15, , (d) 22, , (c) –77, , (d) –97, , The 30th term of AP - 10, 7, 4, …, is:, (a) 97, , (b) 7, , 1, 11th term of the arithmetic progression –3, , 2, …, is:, 2, MATHEMATICIA By O.P. GUPTA : MCQ in Mathematics (Class 10), , Q43., , 3
Page 4 :
By O.P. GUPTA (INDIRA Award Winner), , MATHEMATICIA for Class 10, (a) 28, Q44., , n(n 1), , 105, 2, , (b) 5, , (c) 8, , (d) 11, , (b) 105,, , n(n 1), 2, , (c), , n(n 1), 2, , (d) 105, , (b) 40, , (c) 50, , (d) 60, , (b) 19, , (c) 21, , (d) 22, , (b) 3, 4, 5, , (c) 1, 2, 3, , (d) 2, 3, 5, , (b) 45, , (c) 90, , (d) 55, , (b) 50050, , (c) 50000, , (d) 10100, , An arithmetic progression is such that the sum of first 8 numbers is –100 and the c.d. is 1. For, what value of n would the sum of first n numbers be –100 again?, (b) 30, , (c) 24, , (d) There is no such value of, n, other than n 8, , The sum to 100 terms of (1 2 3 4 5 ...) is:, (a) –500, , 4, , (d) 240, , The sum of all the numbers between 1 and 1000, which are divisible by 5 but not by 2, is:, , (a) 25, Q55., , (c) 420, , The sum of first 9 natural numbers is:, , (a) 101100, Q54., , (b) 320, , If the sides of a right angled triangle are in AP, then they will be equal to:, , (a) 54, Q53., , (d) None of these, , How many 2 digit numbers are divisible by 5?, , (a) 2, 4, 5, Q52., , (c) n 2 2, , If t10 t 5 200 then the common difference is:, , (a) 18, Q51., , (b) n 2, , The sum of first n natural numbers and, first 14 natural numbers are, respectively:, , (a) 30, Q50., , (d) t 26, , In an AP, the 3rd term is 4 times its 1st term and 6th term is 17. The first term is:, , (a), Q49., , (c) t 22, , The sum of n terms of an AP is 2n 2 3n . The sum of its first 10 terms is:, , (a) 2, Q48., , (b) t 24, , What is the sum of first n odd natural numbers?, , (a) 230, Q47., , (d) –28, , Which term of AP - 3, 10, 17,… will be 84 more than its 13 term?, , (a) n 2 1, Q46., , (c) –38, th, , (a) t 25, Q45., , (b) 22, , (b) –50, , (c) –100, , (d) –1000, , MATHEMATICIA By O.P. GUPTA : MCQ in Mathematics (Class 10)
