A number when divided by 6 leaves a remainder 3. When the square of the same number is divided by 6, the remainder is:  Choose the correct choice from the following options.
A) 0	B) 1	C) 2	D) 3	E) 4

Rationale: let x = 6 q + 3 . then , x 2 = ( 6 q + 3 ) 2 = 36 q 2 + 36 q + 9 = 6 ( 6 q 2 + 6 q + 1 ) + 3 . so , when 2 n is divided by 4 , remainder = 3 . answer : d
Answer: D