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Question

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


Options:
A .  0 
B .  1
C .  2
D .  3
Answer: Option D

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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