# 1000+ Aptitude Questions and Answers for Freshers - 1

Question: 1

The smallest 4 digit number exactly divisible by 7 is

(A) 1001

(B) 1007

(C) 1101

(D) 1108

Ans: A

The smallest 4 digit number is 1000.

This when divided by leaves 6 as remainder.

∴ 1001 is the smallest 4 digit number exactly divisible by 7.

Question: 2

Which is not a prime number?

(A) 13

(B) 19

(C) 17

(D) 21

Ans: D

21 = 3 x 7 is not a prime number because 21 is a composite number.

Question: 4

(65)^{2} - (55)^{2} = ?

(A) 120

(B) 1200

(C) 1400

(D) 2100

Ans: B

(65)^{2} - (55)^{2} = (65 + 55) (65 – 55) = (120 x 10) = 1200.

Question: 5

The digit in the unit’s place of the number(67)^{25} - 1 must be

(B) 6

(C) 8

(D) 10

Ans: B

Unit digit of (67)^{25} = Unit digit of 7^{25}.

Unit digit of 7^{4} is 1 and so the unit digit of (7^{4})^{6} is 1.

∴ Unit digit of 7^{25} = (1 × 7) = 7.

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