A number when divided by 6 leaves remainder 3. When the

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

1. 0
2. 1
3. 2
4. 3

Correct Option: D

According to question ,
The remainder will be same. On dividing 9 by 6, remainder = 3
∴ ( Number )² = 9² = 81
On dividing 81 by 6
⇒ 81 = ( 6 × 13 ) + 3
Hence , Required remainder = 3