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A number leaves remainder 3 when divided by 5. What remainder does its square leave when divided by 5?

Competition practiceNumber & Arithmetic

A1
B3
C4
D2

Step-by-Step Solution

Write the number as

5 k + 3

. Then

(5 k + 3)^{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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