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 ? Choose the correct choice from the following options:
A) 0
B) 5
C) 8
D) 9
E) 4

Rationale: "explanation : let the number be x and on dividing x by 5 , we get k as quotient and 3 as remainder . x = 5 k + 3 x ^ 2 = ( 5 k + 3 ) ^ 2 = ( 25 k ^ 2 + 30 k + 9 ) = 5 ( 5 k ^ 2 + 6 k + 1 ) + 4 on dividing x 2 by 5 , we get 4 as remainder . e )"
Answer: E