if n is a prime number greater than 5, what is the remainder when n ^ 2 is divided by 12?
Choices:
A) 0
B) 1
C) 2
D) 3
E) 5
<gadget id="calculator">5 + 2</gadget>
<output>7</output>

<gadget id="calculator">7 ** 2</gadget>
<output>49</output>

<gadget id="calculator">12 * 4</gadget>
<output>48</output>

<gadget id="calculator">49 - 48</gadget>
<output>1</output>

<result>B</result>
if n is a prime number greater than 5, what is the remainder when n ^ 2 is divided by 12?
subtract(power(add(5, const_2), 2), multiply(12, const_4))
there are several algebraic ways to solve this question , but the easiest way is as follows : since we can not 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 - - > n ^ 2 = 49 - - > remainder upon division 49 by 12 is 1 . answer : b .