Aptitude Interview Questions and Answers Pdf - 8
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. =
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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