If n is a prime number greater than 3, what is the remainder

Gmat_mission wrote:If n is a prime number greater than 3, what is the remainder when n^2 is divided by 12?

A. 0
B. 1
C. 2
D. 3
E. 5

[spoiler]OA=B[/spoiler]

Source: Official Guide

We can let n = 5. Thus n^2 = 25 and 25/12 = 2 R 1.

(Note: The answer choices don’t have a choice such as “Can’t be determined.” The question is not asking “what could be the remainder” either. We can safely say the correct answer must be 1, though we only used one value for n. If we want to further ensure that the answer must be 1, we can use another value for n, such as n = 7. We see that n^2 = 49 and 49/12 = 4 R 1. The remainder once again is 1.)

Answer: B