# 1000+ Barclays Bank Aptitude Test Questions and Answers Pdf - 1

Question: 1

If n is any positive integer, 3^{4n} - 4^{3n} is always divisible by

(A) 7

(B) 17

(C) 27

(D) 37

Ans: B

Putting n = 1, we get (3^{4n} - 4^{3n})

= (3^{4} - 4^{3}) = (81 – 64) = 17,

which is divisible by 17.

Question: 2

Which of the following prime numbers while dividing 2176 leaves 9 as remainder?

(A) 167

(B) 197

(C) 207

(D) 217

Ans: B

(2176 - 9) = 2167 = (11 × 197).

So, the required number is 197.

Question: 3

The numbers 2272 and 875 are divided by a three digit number N, giving the same remainder. The sum of the digits of N is

(A) 9

(B) 10

(C) 11

(D) 13

Ans: B

Clearly, (2272 - 875) = 1397, is exactly divisible by N.

Now, 1397 = 11 × 127.

∴ The required 3 digit number is 127, the sum of whose digits is 10.

Question: 4

How many numbers will be there between 300 and 500, where 4 comes only one time?

(A) 79

(B) 89

(C) 99

(D) 109

Ans: C

From 300 to 399, we note that when ‘4’ comes only ‘one’ time = 19 such instances.

From 400 to 499, we note that when ‘4’ comes only one time = 80 such instances.

So, total = (19 + 80) = 99 such instances.

Question: 5

Find the multiple of 11 in the following numbers.

(A) 112144

(B) 447355

(C) 869756

(D) 978626

Ans: D

In 978626, we have (6 + 6 + 7) - (2 + 8 + 9) = 0.

Hence, 978626 is completely divisible by 11.

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