# 1000+ NAB Aptitude Test Questions and Answers - 1

Question: 1

Find the H.C.F. of 3332, 3724 and 4508.

(A) 176

(B) 196

(C) 203

(D) 226

Ans: B

3332 = 2 × 2 × 7 × 7 × 17

3724 = 2 × 2 × 7 × 7 × 19

4508 = 2 × 2 × 7 × 7 × 23

∴ H.C.F. = 2 × 2 × 7 × 7 = 196.

Question: 2

The H.C.F. and the L.C.M. of any two numbers are 63 and 1260 respectively. If one of the two numbers is 315, find the number.

(A) 152

(B) 252

(C) 352

(D) 452

Ans: B

The required number = $${L.C.M. × H.C.F.} / {First number}$$ = $${1260 × 63} / {315}$$ = 252.

Question: 3

The H.C.F. of two numbers is 12 and their difference is 12. The numbers are

(A) 66, 78

(B) 70, 82

(C) 84, 96

(D) 94, 106

Ans: C

The difference of requisite numbers must be 12 and each one must be divisible by 12. So, the numbers are 84, 96.

Question: 4

Find the least number of five digits which when divided by 12, 16, 21, 36 and 40 leaves remainder 8 in each case.

(A) 10072

(B) 10080

(C) 10082

(D) 10088

Ans: D

Required number = the least number of 5 digits divisible by the L.C.M. of 12, 16, 21, 36, 40 + the remainder 8.

Question: 5

Find the greatest number of five digits which when divided by 12, 15, 21, 25 and 28 leaves 5, 8, 14, 18 and 21 as remainders, respectively.

(A) 97693

(B) 98693

(C) 98700

(D) 98696

Ans: B

Find the greatest number of five digits which is divisible by the L.C.M. of 12, 15, 21, 25 and 28 and then subtract 7 from it to get the required number.

Required number = 98700 - 7 = 98693.

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