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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, 09:52
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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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Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
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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, 09:58
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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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Re: If m/7 is an integer, then each of the following must be an integer [#permalink] New post  16 Mar 2016, 00:07
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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: PS [#permalink] New post  22 May 2020, 07:53
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