A natural number greater than 1 is a perfect square. Which of the following remainders is impossible when it is divided by 3?
A0
B1
C2
DIt depends on whether the square is even or odd
Answer & Solution
Correct answer: C. 2
A perfect square other than 1 is either a multiple of 3 or exceeds a multiple of 3 by 1. So its remainder on division by 3 can only be 0 or 1, never 2.
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