Last visit was: 17 Sep 2024, 14:57 It is currently 17 Sep 2024, 14:57
Toolkit
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

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

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 95586
Own Kudos [?]: 659683 [8]
Given Kudos: 87294
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6802
Own Kudos [?]: 31348 [3]
Given Kudos: 799
General Discussion
Alum
Joined: 12 Aug 2015
Posts: 2266
Own Kudos [?]: 3240 [2]
Given Kudos: 893
GRE 1: Q169 V154
Tutor
Joined: 02 Oct 2015
Posts: 265
Own Kudos [?]: 57 [0]
Given Kudos: 9
If m/7 is an integer, then each of the following must be an integer [#permalink]
­Lovely multiple plus multiple problem:

­
Intern
Joined: 26 Mar 2023
Posts: 11
Own Kudos [?]: 3 [0]
Given Kudos: 79
Re: If m/7 is an integer, then each of the following must be an integer [#permalink]
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?
Math Expert
Joined: 02 Sep 2009
Posts: 95586
Own Kudos [?]: 659683 [0]
Given Kudos: 87294
Re: If m/7 is an integer, then each of the following must be an integer [#permalink]
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?
Intern
Joined: 26 Mar 2023
Posts: 11
Own Kudos [?]: 3 [0]
Given Kudos: 79
If m/7 is an integer, then each of the following must be an integer [#permalink]
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?
Math Expert
Joined: 02 Sep 2009
Posts: 95586
Own Kudos [?]: 659683 [0]
Given Kudos: 87294
Re: If m/7 is an integer, then each of the following must be an integer [#permalink]
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.
Intern
Joined: 01 Sep 2024
Posts: 24
Own Kudos [?]: 8 [0]
Given Kudos: 2
Re: If m/7 is an integer, then each of the following must be an integer [#permalink]
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
Re: If m/7 is an integer, then each of the following must be an integer [#permalink]
Moderator:
Math Expert
95586 posts