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# The remainder when the positive integer m is divided by n is

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Joined: 10 Jun 2018
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The remainder when the positive integer m is divided by n is [#permalink]  10 Aug 2018, 15:09
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Question Stats:

66% (00:51) correct 33% (01:08) wrong based on 9 sessions
The remainder when the positive integer m is divided by n is r. What is the remainder when 2m is divided by 2n ?

(A) r
(B) 2r
(C) 2n
(D) m – nr
(E) 2(m – nr)

Source :GRE Math Bible
[Reveal] Spoiler: OA
Intern
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Re: The remainder when the positive integer m is divided by n is [#permalink]  10 Aug 2018, 16:50
I think B is the answer??
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Re: The remainder when the positive integer m is divided by n is [#permalink]  11 Aug 2018, 22:57
Expert's post
We have $$m=k\times n + r$$ with $$0 \leq r < n$$

Hence $$2m= k \times (2n) + 2r$$. Since $$0 \leq 2r < 2n$$, we could say that the remainder when $$2m$$ is divided by $$2n$$ is $$2r$$.

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Re: The remainder when the positive integer m is divided by n is   [#permalink] 11 Aug 2018, 22:57
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