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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Accepted Answer

Let x = 6 q + 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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