1000+ Aptitude Questions and Answers for Freshers - 2

Question: 6

If m and n are integers, divisible by 5, which one of the following is not necessary true?

(A) m – n is divisible by 5

(B) m + n is divisible by 10

(D) none of these

Ans: B

Take m = 15 and n = 20. Then, each one of m and n is divisible by 5. But (m + n) is not divisible by 10.

Hence, (m + n) is divisible by 10 is not true.

Question: 7

The largest number that exactly divides each number of the sequence 1⁵ - 1, 2⁵ - 2, 3⁵ - 3, …..,n⁵ - n, …. Is

(A) 1

(B) 15

(D) 120

Ans: C

Required number = (2⁵ - 2) = (32 – 2) = 30.

Question: 8

The total numbers of integers between 200 and 400, each of which either begins with 3 or ends with 3 or both is

(A) 10

(B) 80

(D) 110

Ans: D

Such numbers are 203, 213, 233, 243, 253, 263, 273, 283, 293 and all numbers from 300 to 399. Clearly, number of such numbers = 10 + 100 = 110.

Question: 9

1260 ÷ 14 ÷ 9 = ?

(A) 8

(B) 9

(D) 81

Ans: C

1260 ÷ 14 ÷ 9 = $$(1260 × {1} / {14} × {1} / {9})$$ = 10.

Question: 10

The smallest number that must be added to 803642 in order to obtain a multiple of 11 is

(A) 1

(B) 4

(D) 7

Ans: D

On dividing 803642 by 11, we get 4 as remainder.

Required number to be added = (11 – 4) = 7.

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