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Numbers - General Aptitude

Q1:

A number when divide by 6 leaves a remainder 3. When the square of the number is divided by 6, the remainder is:

A 0

B 1

C 2

D 3

ANS:D - 3

Let x = 6q + 3. Then, x2 = (6q + 3)2    = 36q2 + 36q + 9    = 6(6q2 + 6q + 1) + 3 Thus, when x2 is divided by 6, then remainder = 3.