If n is a prime number greater than 5, what is the remainder when n^2 is divided by 12 ?
Choose the correct choice from the following:
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 5, square it and see what would be the remainder upon division of it by 12.   n=7 --&gt; n^2=49--&gt; remainder upon division 49 by 12 is 1.   Answer: 1.
<result>B</result>
If n is a prime number greater than 5, what is the remainder when n^2 is divided by 12 ?