Home » Aptitude » Numbers

It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?

Correct Answer: (296 + 1)

Explanation:

Let 2 32 = x . Then, (2 32 + 1) = ( x + 1).

Let (x + 1) be completely divisible by the natural number N. Then,


(296 + 1) = [(232)3 + 1] = (x3 + 1) = (x + 1)(x2 - x + 1), which is completely divisible by N, since (x + 1) is divisible by N.


← Previous Question Next Question→

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion