If n is a prime number greater than 11, 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 11, square it and see what would be the remainder upon division of it by 12.   n=17 --&gt; n^2=289 --&gt; remainder upon division 289 by 12 is 1.   Answer: 1.
<result>B</result>
If n is a prime number greater than 11, what is the remainder when n^2 is divided by 12 ?