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 ?

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

1.	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 ?
Answer» 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.