If $N$ is a perfect square, which one of the following cannot be the remainder when $N$ is divided by 4?
A0
B1
C2
DBoth 2 and 3
Answer & Solution
Correct answer: D. Both 2 and 3
A perfect square is either a multiple of 4 or exceeds a multiple of 4 by 1. Therefore a square can leave only remainder 0 or 1 upon division by 4. So 2 and 3 are both impossible.
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