SSC CHSL 2020 PYQ — Question 73

SSC CHSL - 16th October 2020 - Shift 2 • Quantitative Aptitude • Q73

Given that 220 + 1 is completely divisible by a whole number, which of the following is completely divisible by the same number?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e 260 + 1.

Understanding/Application

Let 220 + 1 is completely divisible by the whole number x.

220 + 1 = kx (where k is constant)

(220)3 + 13 = (220 + 1) (240 + 220 + 1)

260 + 1 = kx (240 + 220 + 1)

260 + 1 is completely divisible by whole number x.