# Math-o-Fun

**Number Theory**Level 2

In Maths-o-Fun Quiz, the team of Swapnil and Manish needed to answer the last question to win the quiz. As soon as the last question appeared on the screen, both of them worked on the question and got the answer. They pressed the buzzer immediately and hence they won the quiz. Can you guess what was their answer?

The question was: Find the sum of the remainders when \({ 3 }^{ 15 }\) is divided by 2 and when \({ 3 }^{ 15 }\) is divided by 4.