If n is a prime number greater than 5, what is the remainder when n^2 is divided by 12?	Pick:	A) 0	B) 1	C) 2	D) 3	E) 5
There are several algebraic ways to solve this question including the one under the spoiler. But the easiest way is as follows:since we can not have two correct answersjust pick a prime greater than 5, square it and see what would be the remainder upon division of it by 12.   7=5 --&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?