If n is a prime number greater than 3, what is the remainder when n^2 is divided by 12 ?
Choices.
A) 0	B) 1	C) 2	D) 3	E) 5
There are several algebraic ways to solve this question, but the easiest way is as follows: since we cannot have two correct answers just pick a prime greater than 3, square it and see what would be the remainder upon division of it by 12.   n=5 --&gt; n^2=25 --&gt; remainder upon division 25 by 12 is 1.   Answer: 1
<result>B</result>
If n is a prime number greater than 3, what is the remainder when n^2 is divided by 12 ?