If n is a prime number greater than 7, what is the remainder when n^2 is divided by 12 ?
Choose the correct choice: 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 7, square it and see what would be the remainder upon division of it by 12.   n=11 --&gt; n^2=121 --&gt; remainder upon division 121 by 12 is 1.   Answer: 1.
<result>B</result>
If n is a prime number greater than 7, what is the remainder when n^2 is divided by 12 ?