Home » Aptitude » Numbers

A number when divide by 6 leaves a remainder 3. When the square of the number is divided by 6, the remainder is:

Correct Answer: 3

Explanation:

Let x = 6 q + 3.

Then, x2 = (6q + 3)2


   = 36q2 + 36q + 9


   = 6(6q2 + 6q + 1) + 3


Thus, when x2 is divided by 6, then remainder = 3.


← Previous Question Next Question→

Discussion & Comments

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