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

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1. 

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

[A]. 0
[B]. 1
[C]. 2
[D]. 3

Answer: Option D

Explanation:

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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