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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]
­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]
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

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

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

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?

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

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