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Numbers - General Aptitude

Q1:

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 ?

A 0

B 1

C 2

D 4

ANS:D - 4

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.