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The remainder when the positive integer m is divided by n is
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10 Aug 2018, 15:09
10 Aug 2018, 15:09
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Question Stats:
63% (01:00) correct
36% (01:10) wrong based on 41 sessions
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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
(A) r
(B) 2r
(C) 2n
(D) m – nr
(E) 2(m – nr)
Source :GRE Math Bible
Re: The remainder when the positive integer m is divided by n is
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10 Aug 2018, 16:50
10 Aug 2018, 16:50
I think B is the answer??
Re: The remainder when the positive integer m is divided by n is
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11 Aug 2018, 22:57
11 Aug 2018, 22:57
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Expert Reply
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 \(2r\).
The answer is B
Hence \(2m= k \times (2n) + 2r\). Since \(0 \leq 2r < 2n\), we could say that the remainder when \(2m\) is divided by \(2n\) is \(2r\).
The answer is B
