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Question

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

A
0
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B
1
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C
2
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D
3
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Solution

The correct option is D 3
We know,
Remainder formula: Dividend = Quotient x Divisor + Remainder.

Let x=6q+3
Then, x2=(6q+3)2
=36q2+36q+9
=6(6q2+6q+1)+3

Thus, when x2 is divided by 6, then remainder =3.

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