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14 April, 01:34

When n is divided by 12, the remainder is 6. What is the remainder when n is divided by 6?

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Answers (2)
  1. 14 April, 03:30
    0
    12 is the correct answer.
  2. 14 April, 05:13
    0
    For some number to be divisible by 12 it has to be divisible by 6 and by 2.

    we can write number n as:

    n = 6 + 12*k where k is positive integer.

    If we divide n by 12 we will get remainder 6 because 12*k part is divisible by 12.

    The part 12*k is as said divisible by 12 which means it is divisible by 6 (as first stated) and it has remainder 0. That leaves us with 6/6 which again has 0 as remainder. That means that number n is divisible by 6

    The answer is 0
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