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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] If m/7 is an integer, then each of the following must be an integer   24 Nov 2015, 10:52
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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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E
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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] If m/7 is an integer, then each of the following must be an integer   24 Nov 2015, 10:58
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Bunuel
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] If m/7 is an integer, then each of the following must be an integer   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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DanTheGMATMan
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If m/7 is an integer, then each of the following must be an integer [#permalink] If m/7 is an integer, then each of the following must be an integer   15 May 2024, 06:14
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­Lovely multiple plus multiple problem:

­
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Re: If m/7 is an integer, then each of the following must be an integer [#permalink] If m/7 is an integer, then each of the following must be an integer   15 Jun 2024, 14:36
Bunuel
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


PS21162
­

If we take m as 28, and put in the last option (m+14)/14; then (28+14)/14 =3, which is an integer. Please tell me where I am going wrong here?
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Bunuel
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Re: If m/7 is an integer, then each of the following must be an integer [#permalink] If m/7 is an integer, then each of the following must be an integer   15 Jun 2024, 14:39
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SuvidhaAgarwal
Bunuel
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


PS21162
­

If we take m as 28, and put in the last option (m+14)/14; then (28+14)/14 =3, which is an integer. Please tell me where I am going wrong here?

­E is the correct answer. What's your doubt exactly here? 
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If m/7 is an integer, then each of the following must be an integer [#permalink] If m/7 is an integer, then each of the following must be an integer   17 Jun 2024, 14:55
Bunuel
SuvidhaAgarwal
Bunuel
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

PS21162
If we take m as 28, and put in the last option (m+14)/14; then (28+14)/14 =3, which is an integer. Please tell me where I am going wrong here?
­E is the correct answer. What's your doubt exactly here? 
 
­I am getting an integer 3 when I am putting m as 28 in the last option.
How is E the correct answer then? E should not give an integer value, right?

m=28,
putting the value in the last option
(28+14)/14 = 42/14 = 3. 
Hence, an integer.
So how is the correct answer E? We have to find something that doesn't give an integer value, right?
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Bunuel
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Re: If m/7 is an integer, then each of the following must be an integer [#permalink] If m/7 is an integer, then each of the following must be an integer   17 Jun 2024, 15:19
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SuvidhaAgarwal
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


­I am getting an integer 3 when I am putting m as 28 in the last option.
How is E the correct answer then? E should not give an integer value, right?

m=28,
putting the value in the last option
(28+14)/14 = 42/14 = 3. 
Hence, an integer.
So how is the correct answer E? We have to find something that doesn't give an integer value, right?
­
The question asks to find an option that is not necessarily an integer given that m/7 is an integer. Such an option is E, which is not necessarily an integer. For example, if m = 7, then (m + 14)/14 will not be an integer. All other options will result in integers no matter the value of m, of course, given that m/7 is an integer.
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Re: If m/7 is an integer, then each of the following must be an integer [#permalink] If m/7 is an integer, then each of the following must be an integer   16 Sep 2024, 06:47
If m and n are divisible by a then m+n and m-n and mn are also divisble by a

All except E can be written in this format
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Re: If m/7 is an integer, then each of the following must be an integer [#permalink]
16 Sep 2024, 06:47
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