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If m/7 is an integer, then each of the following must be an integer

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Bunuel
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If m/7 is an integer, then each of the following must be an integer [#permalink] New post  24 Nov 2015, 10:52
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E

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78% (01:26) correct 22% (01:28) wrong based on 483 sessions

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If m/7 is an integer, then each of the following must be an integer EXCEPT

A. (m - 28)/7
B. (m + 21)/7
C. 14m/98
D. (m^2 - 49)/49
E. (m + 14)/14


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BrentGMATPrepNow
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Re: If m/7 is an integer, then each of the following must be an integer [#permalink] New post  24 Nov 2015, 10:58
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Bunuel wrote:
If m/7 is an integer, then each of the following must be an integer EXCEPT

A. (m - 28)/7
B. (m + 21)/7
C. 14m/98
D. (m^2 - 49)/49
E. (m + 14)/14


The question says "each of the following must be an integer EXCEPT"
So, if we can find an instance where an answer choice is NOT an integer, then that will be the correct answer.

Given: m/7 is an integer
So, m could equal 7

Now plug m = 7 into the answer choices:
A. (7 - 28)/7 = -3. This is an integer
B. (7 + 21)/7 = 4. This is an integer
C. 14(7)/98 = 1. This is an integer
D. (7^2 - 49)/49 = 0. This is an integer
E. (7 + 14)/14 = 3/2. This is NOT an integer

Answer: E

Cheers,
Brent
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stonecold
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Re: If m/7 is an integer, then each of the following must be an integer [#permalink] New post  16 Mar 2016, 01:07
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Here just by distributing the denominator over the numerator we can easily arrive on E as the answer
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Re: If m/7 is an integer, then each of the following must be an integer [#permalink] New post  10 Jun 2023, 07:56
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Re: If m/7 is an integer, then each of the following must be an integer [#permalink]
10 Jun 2023, 07:56
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