On dividing a number by 5, we get 3 as remainder. What will the remainder when

Question

On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?

Options:

A . 0

B . 1

C . 2

D . 4

Answer: Option D

Let the number be x and on dividing x by 5, we get k as quotient and 3 as remainder.

x = 5k + 3

x² = (5k + 3)²

= (25k² + 30k + 9)

= 5(5k² + 6k + 1) + 4

On dividing x² by 5, we get 4 as remainder.

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