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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
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By: guest on 01 Jun 2017 05.46 pm
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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