The remainder when, 1010(1010+1)(1010+2) is divided by 6 is
2
4
0
6
1010,1010+1,1010+2 three consecutive numbers
⇒ 1010,(1010+1)(1010+2) always divisible by 3!
∴ reminder=0
A number, when divided by 6, leaves a remainder 3. When the square of that number is divided by 6, the remainder is 3.