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 option:
A) 0 B) 1 C) 2 D) 3 E) 4

Rationale: "sol . 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 x 2 is divided by 6 , remainder = 3 . answer d"
Answer: D