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

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If m/7 is an integer, then each of the following must be an integer [#permalink]

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New post 24 Nov 2015, 09:52
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A
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D
E

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Question Stats:

70% (01:02) correct 30% (00:44) wrong based on 162 sessions

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Re: If m/7 is an integer, then each of the following must be an integer [#permalink]

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New post 24 Nov 2015, 09:58
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]

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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: If m/7 is an integer, then each of the following must be an integer [#permalink]

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New post 16 Nov 2017, 11:25
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If m/7 is an integer, then each of the following must be an integer   [#permalink] 16 Nov 2017, 11:25
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