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A number leaves a remainder of 3 when divided by 5. What is the remainder when the square of that number is divided by 5?

Competition practiceNumber System, HCF & LCM

A9
B1
C4
D3

Step-by-Step Solution

If

n = 5 k + 3

, then

n^{2} = 25 k^{2} + 30 k + 9 = 5 (5 k^{2} + 6 k + 1) + 4

, so the remainder is 4.

Answer: C) 4

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