number systems Model Questions & Answers, Practice Test for ibps clerk mains

Answer: (c)

Let numbers be x, x + 8, x + 16

∴ x + x + 8 + x + 16 = 888

3x = 864 ⇒ x = 288

∴ Numbers are = 288, 296, 304

Answer: (d)

A number of the form $a^n + b^n$ then it is divisible by (a + b), if only n is odd number.

So that $a^n + b^n$ is not divisible by integral value of n.

Answer: (b)

Suppose the number is 10x + y.

(When number at unit place is y and at tens place is x)

(10x + y) – (10y + x) = 9

x – y = 1 .... (i) x + y = 15 .... (ii)

Solving equation (i) and (ii) we get,

x = 8; y = 7

Required number = 10 × 8 + 7 = 87

Answer: (c)

Decimal equivalents of fractions

$7/8 = 0.875, 4/5 = 0.8$

$8/14 = 0.57, 3/5 = 0.6$

$5/6$ = 0.83

∴ 0.875 > 0.83 > 0.8 > 0.6 > 0.57

∴ $7/8 > 5/6 > 4/5 > 3/5 > 8/14$

Answer: (c)

On dividing the given number 345670 by 6, we get 4 as the remainder.

So 2 must be added to the given number.