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 ?  Choices:
A) 0 Remainder  B) 1 Remainder  C) 2 Remainder  D) 4 Remainder  E) 5 Remainder
EXPLANATION   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.   Remainder = 4   Answer 4 Remainder
<result>D</result>
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 ?