If P is a prime number greater than 3, what is the remainder when P^2 is divided by 12?

✓ Correct Answer: Option B

Any prime P > 3 can be written as 6k±1. P² = (6k±1)² = 36k² ± 12k + 1 = 12(3k² ± k) + 1. This expression clearly shows that P² leaves a remainder of 1 when divided by 12.