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
_________________

Here just by distributing the denominator over the numerator we can easily arrive on E as the answer
_________________

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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________