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. 2
3. 1
4. 3

Correct Option: D

Let the number (n) be 6m + 3
where m = quotient.
On squaring both sides,
n² = (6m + 3)²
= 36 m² + 36 m + 3²
∴ Required remainder = 3²
∴ Remainder on dividing 9 by 6 = 3