Page 1 :
Multiple Choice Questions, 1. For some integer m, every even integer, , is of the form, (al m Ib} mot, (ch 2m {a} 2m4+1, 2. If nis an even natural number, then the, largest navural number by which, nin +1) (n> 2) is divisible, is, fa 6 (np 8, (ch 2 Id) 24, , 5. 12° ends with the digit 0 or 5 for, nacural number, (az Ib), {c} No value [a)5, , 6. (3x57) +7isa, , {a} Prime number [b) Composite number, , , , (cl Can't say [d) None of these, , 7. The number (7 x6x5x4*3x2x1)+5, ice number., (a) Prime lb) Composite, (c)Can't say Id) Nove of these, , 8. The total number of factors of a prime, umber is {cRse meu}, fal! (02 le)o (obs, , 9. The values of x and y is the given figure, are, (a)7, 13 opts., (19,12 (a}i2.9, , 10. HCE of 96 and 404 is equal to .........., (el2 (os les (obs, , 11. Total number of distinct primes in the, prime factorization of number 27300,, (aS [ob 7, (ce) 13 [d) 2%, , 12. The unit place digit of HCF of, 2? x 3? x5" x7,2° x 3° x5? x7?, and 3x57 xIlis, (a) 70 (bp) 105 le} 175 (a) 225, , 13. If two positive integers @ and 6 are, written as @ =a" y? and 6 =xy", where, 4, y are prime numbers, then HCF (a, 6), , is INCERT Exemplar}, (al xy (b) xy, fe) ey" ia) xy”, , 3. The product of ewo consecutive positive, , integers is divisible by 2’., lal True (vb) Felse, le} Catt say (Partially TrueFaico:, , 4, The number, 4", where a is a natural, number, ends with the digit 0 for any, natural number a, ta} True, tb) False, te} Cant say, {d) Partially Trun/Fatse, , 14. Write the HCF of the smallest, , composite number and the smallest, prime number., , (ay bl2, , (os (ols, , 15. Two numbers are in the ratio of 15 : 11., If their HCP is 13, then numbers will be, (a) 195 and 43, (o) WOand 40, (c) 185 and 163, (a) 186 ard 43, , 16. Product of two coprime numbers is 117, their LOM should be .........., fab, (ony, (c)equal to their HOF, (cd) hes between WO-10, , 17. The least number that is divisible, by all dhe numbers from | to 10, (both inclusive) INCERT Exemplar}, (a) 10, fe) 100, (c) 504, (a 2520, , 18. If the HCF of 65 and 117 is expressible, in the form 65m 117, then find the, , value of m. INCERT Exemplar], fan tb)?, (cs tele, , 19. IF LOM of 12 and 42 is 10m +4, the, value of m is equal to, (7 tole, (clé (alo, , 20. There are 2+ peaches, 36 apricots and, 60 bananas and they have to arranged, in several rows in such a way that every, rows contains the same member of, fruits of only one type. What is the, minimum number of rows required for, , this to happen?, (ana tb}, (cya te) 14

Page 2 :
21., , 27., , Four bells toll at intervals of 10 s, 15 s,, 20s and 30 s respectively. If they toll, together at 10 : 00 am at what time will, they toll together for the first time after, 10 am?, , (a) 10: 0lam, , (b) 10:02am, , (c) 10:00: 30am, , (d) 10:00: 45am, , P is the LCM of 2, 4, 6, 8, 10; Q is the, LCM of 1, 3, 5, 7, 9 and L is the LCM of, P and Q. Then, which of the following is, true?, , (a) L=21P (b) L=40, , (c) L=63P (d) L=16P, , The LCM and HCF of 120 and 14 by, fundamental theorem of arithmetic is, (a)720, 22 (b) 720, 24, , (c)640, 24 (4) 640, 22, , If HCF of two numbers is 2 and their, product is 120, find their LCM., (a)120 (b) 60, , (c)240 (d) 80, , If the HCF of 65 and 117 is 13, LCM of, 65 and 117 is 45 x a, then the value of a is, , (a)9 (by, , (c)13 (a7, , If HCF (a, 6) =12 and a x 6 =1800, then, LCM (a, 6) =, , (a) 3600 (b) 900, , (c)150 (d)90, , If HCF of 306 and 657 is 9, then their, EE eevesione ., , (a)22338 (b) 23328, (c)22833 (d) 33228, , The LCM and the HCF of two numbers, are 1001 and 7 respectively. How many, such pairs are possible?, , (a) 0 (b) 1, , (c) 2 (d) 7, , 29. If pis prime, then HCF and LCM of p, and p +1 would be, (a) HCF =p,LCM=p+1, (b) HCF =p(p+1.LCM=1, (c) HCF =LLCM=plp+)), (d) None of the above, , 30. The HCF and LCM of 12, 21 and 15, , respectively, are {CBSE 2020], (a) 3, 140 (b)12, 420, (ec) 3, 420 (4) 420, 3, , 31. In which of the following is a, irrational number?, , ta) {o)3.1416, , (c) 3.1416, , 32. The number of irrational numbers, between 15 and 18 is infinite., (a) True, (b) False, (c) Can't say, (d) Partially True/False, , (G)3.14144 1444..., , 33. The product of a non-zero rational, and an irrational number is, (a) always irrational, , (b) always rational, (c) rational or irrational, , {d) one, , 34. 3.27 is, lajaninteger number (ba rational number, (c)an irrational number (d)None of these, , 35. A rational number p/g has a, terminating decimal expansion of, prime factorization of g have, (a) 3 {b) 2, (c) 5 (d) Both (b)and(c), , 36. If ii is a rational number, then, , decimal expansion of it, which, , terminates, (a)0.104 {b)1.04, (c)0.0104 (d}0.140

Page 3 :
37., , 41., , On the basis of form 2” « 5” of, , denominator that a will be expanded, , in decimal upto places will be, , fa) one (b) two (c)three (d) four, , After how many places, the decimal, , , , form of i will terminate?, , (a) Three places (b) Four places, (c) Two places (d) None of these, , Without actually performing the long, division, the terminating decimal, , on of 1500 is in the form of, 1, , , , , then (m + n) is equal to, , 7 a, (a)2 (o)3 (c)5 (a)8, The rational number which can be, , expressed as a terminating decimal, number will be, , 77 129, (a)— (bj) -.-—, 210 2 x5"x7', 13 8, (c)05 (dl,, , Which of the following rational numbers, have non terminating repeating decimal, expansion?, , fa) (b) 2, , 525 $12, , 23, (c) 300 (d) None of these, , . 124, , The rational number 164 can be, expressed as a ......... decimal number., {a) non-terminating (b) can't say, (c) terminating (d) None of these, The rational form of 0.254 is in the form, , of ; then (p +) is equal to 69., , (a) True [b) False, (c)Can't say (d) Partially True/False, , 44. Column-I denotes the number and, Column-II denotes the prime factors of, the numbers given in Column-I. Match, them correctly., , , , , , , , , , Column I Column Il, P. m5 1. 2x 5x1? x17, Q. 20570 2. 7? x13*17x19, R. 205751 3 f*x8x7z7, POR POR, (a3 1 2 (b)}1 3 2, (ck2 13 (a)! 2 3, , 45. Match the Column, , Column I Column I, P. 13/125 1. Irrational, , , , , , , , Q 2 2. Terminating decimal, expansion, , R. 200/25 3. Non terminating, repeating decimal, expansion, , , , S. 61/455 4. Rational number, , , , PORS PORS, , (a2 413 (b)2 14 3, , (ch1 234 (d)1 24 3, Assertion-Reasoning MCQs, , Directions (Q. Nos. 46-54) Each of these, questions contains two statements : Assertion, (A) and Reason (R). Each of these questions, also has four alternative choices, any one of, which is the correct answer. You have to, select one of the codes (a), (b), (c) and (d), given below., (a) Ais true. Ris true; Ris a correct, explanation for A., (b) Ais true. Ris true: Ris not acorrect, explanation for A,, (c) Ais true: Ris False., (d) Ais false: R is true.

Page 4 :
47., , 51., , Assertion (A) HCF of (11, 17) is 1., Reason (R) If / and q are prime, then, HCF (p, 9) =1, , Assertion (A) If LCM = 182, product of, integers is 26 x 91, then HCF = 13., Reason (R) LCM ~ Product of integers =, HCF, , Assertion (A) We can say that 3/93 and, 5|0 is true., , Reason (R) A non-zero integer @ is said, to divide an integer 6 if there exists an, integer ¢ such that b = ac., , Assertion (A) n* — mis divisible by 2, for every positive integer., , Reason (R) V2 is not a rational number., Assertion (A) V2 is an irrational, number., , Reason (R) If p be a prime, then ,/p is, an irrational number., , Assertion (A) 2 is a rational number., , Reason (R) The square roots of all, positive integers are irrationals., , Assertion (A) Denominator of, 34.12345. When expressed in the form, , Pp q #0, is of the form 2" x 5", where, q, , m, mare non-negative integers., Reason (R) 34.1245 is a terminating, decimal fraction., , Assertion (A) ae is a terminating, . si, , decimal fraction., , Reason (R) If q = 2" »5" where n,m are, non-negative integers, then . isa, , terminating decimal fraction., , 54. Assertion (A) 29/9261 will have a, , non-terminating repeating decimal, expansion., Reason (R) Let a = p/q be a rational, , number such that p and g are co-prime, and the prime factorization of ¢ is of the, form 2" x5", where nand m are, non-negative integers (whole numbers)., Then, a has a decimal expansion, which, is non-terminating repeating.