# Aptitude Interview Questions and Answers Pdf - 1

Question: 1

The largest number which divides 25, 73 and 97 to leave the same remainder in each case is

(A) 21

(B) 22

(C) 23

(D) 24

Ans: D

Required number = HCF of (73 – 25), (97 – 73) and (97 – 25)

= HCF of 48, 24 and 72 = 24.

Question: 2

Product of two co-prime numbers s 117. Their L.C.M. should be

(A) 101

(B) 109

(C) 112

(D) 117

Ans: D

H.C.F. of c-prime numbers is 1. So, L.C.M. = $${117} / {1}$$ = 117.

Question: 3

The greatest number that exactly divides 105, 1001, and 2436 is

(A) 3

(B) 5

(C) 7

(D) 9

Ans: C

H.C.F. of 2436 and 1001 is 7.

Also, H.C.F. of 105 and 7 is 7.

Question: 4

The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each students gets the same number of pens and same number of pencils is

(A) 1001

(B) 91

(C) 910

(D) 1911

Ans: B

Required number of students = H.C.F. of 1001 and 910 = 91.

Question: 5

Find the greatest number that will divide 964, 1238 and 1400 leaving remainders 41, 31 and 51 respectively

(A) 51

(B) 61

(C) 71

(D) 81

Ans: C

Required number = H.C.F. of (964 – 41), (1238 – 31) and (1400 – 51)

= H.C.F. of 923, 1207 and 1349 = 71.

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