[4] On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the thi

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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 ?

Explanation:

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

$\therefore$ $ x $ = 5k + 3

$\Rightarrow$ $ x $² = (5k + 3)²

= (25 k ² + 30$ k $ + 9)

= 5(5 k ² + 6$ k $ + 1) + 4

$\therefore$On dividing $ x $² by 5, we get 4 as remainder.

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