Last visit was: 19 Jul 2025, 17:33 It is currently 19 Jul 2025, 17:33
Close
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
Your Progress

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.
Close
Request Expert Reply
Confirm Cancel
User avatar
BrainLab
User avatar
Current Student
Joined: 10 Mar 2013
Last visit: 26 Jan 2025
Posts: 350
Own Kudos:
3,016
 [26]
Given Kudos: 200
Location: Germany
Concentration: Finance, Entrepreneurship
GMAT 1: 580 Q46 V24
GPA: 3.7
WE:Marketing (Telecommunications)
GMAT 1: 580 Q46 V24
Posts: 350
Kudos: 3,016
 [26]
2
Kudos
Add Kudos
24
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
ENGRTOMBA2018
Joined: 20 Mar 2014
Last visit: 01 Dec 2021
Posts: 2,328
Own Kudos:
3,791
 [7]
Given Kudos: 816
Concentration: Finance, Strategy
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
Products:
GMAT 1: 750 Q49 V44
Posts: 2,328
Kudos: 3,791
 [7]
3
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 19 Jul 2025
Posts: 102,627
Own Kudos:
742,793
 [6]
Given Kudos: 98,235
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,627
Kudos: 742,793
 [6]
2
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
General Discussion
User avatar
BrentGMATPrepNow
User avatar
Major Poster
Joined: 12 Sep 2015
Last visit: 13 May 2024
Posts: 6,755
Own Kudos:
34,133
 [3]
Given Kudos: 799
Location: Canada
Expert
Expert reply
Posts: 6,755
Kudos: 34,133
 [3]
2
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
BrainLab
The positive integers m and n leave remainders of 2 and 3, respectively, when divided by 6. m > n.
What is the remainder when m – n is divided by 6?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5


Let's test out some values of m and n that satisfy the given information.

m leaves are remainder of 2 when divided by 6
So, m COULD equal 8

n leaves are remainder of 3 when divided by 6
So, n COULD equal 3

What is the remainder when m – n is divided by 6?
So, m - n = 8 - 3 = 5, and when we divide 5 by 6, we get 0 with remainder 5

Answer: E

Cheers,
Brent
avatar
FelixM
Joined: 03 Feb 2016
Last visit: 30 Sep 2016
Posts: 10
Own Kudos:
Given Kudos: 77
Posts: 10
Kudos: 3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
m=6q+2 (even)
n=6p+3 (odd)

m-n=odd => the remainder can only be an odd number (even*even+ an Odd remainder can only give us an odd number). So options D) and B) are eliminated.

Also put together \(\frac{m-n}{6}\) will give us \(\frac{6(q-p)+5}{6}\), thus having a +5, so answer choice E).
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 19 Jul 2025
Posts: 11,294
Own Kudos:
41,843
 [1]
Given Kudos: 333
Status:Math and DI Expert
Products:
Expert
Expert reply
Posts: 11,294
Kudos: 41,843
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
BrainLab
The positive integers m and n leave remainders of 2 and 3, respectively, when divided by 6. m > n.
What is the remainder when m – n is divided by 6?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Source: Gmat Math Bible


Hi,
since m>n..
i can say that m is 2 more than multiple of 6..
and n is 3 less than a multiple of 6..
so m-n means 2-(-3) =5 more than a multiple of 6.....
User avatar
stonecold
Joined: 12 Aug 2015
Last visit: 09 Apr 2024
Posts: 2,248
Own Kudos:
Given Kudos: 893
GRE 1: Q169 V154
GRE 1: Q169 V154
Posts: 2,248
Kudos: 3,472
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Best approach => let N=8
and M=3
hence => m-n = 5
hence remainder => 5
so E
User avatar
KarishmaB
Joined: 16 Oct 2010
Last visit: 19 Jul 2025
Posts: 16,115
Own Kudos:
74,407
 [1]
Given Kudos: 475
Location: Pune, India
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 16,115
Kudos: 74,407
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
BrainLab
The positive integers m and n leave remainders of 2 and 3, respectively, when divided by 6. m > n.
What is the remainder when m – n is divided by 6?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Source: Gmat Math Bible

Use the basic concepts of divisibility.
m when divided by 6, will have groups of 6 and 2 leftover.
n when divided by 6 will have groups of 6 and 3 leftover.
When you subtract n from m, some groups of 6 will get subtracted out, 2 will get subtracted out and 1 more from a group of 6 will get subtracted out. From that groups of 6, only 5 will be leftover. So m - n will have groups of 6 and 5 leftover.
Remainder will be 5.

For more, check: https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2011/04 ... unraveled/
User avatar
gps5441
Joined: 04 May 2014
Last visit: 03 Feb 2018
Posts: 109
Own Kudos:
Given Kudos: 126
Location: India
WE:Sales (Mutual Funds and Brokerage)
Posts: 109
Kudos: 77
Kudos
Add Kudos
Bookmarks
Bookmark this Post
m=6q+2 possible values of m=8,14,20,26,32,38....
n=6q+3 possible values of n=9,15,21,27,33,39...

Now m is greater than n
subtract any value of n from m eg 38(m)-9(n)=29
Divide by 6 reminder is 5.
avatar
raihan422
Joined: 19 Oct 2016
Last visit: 03 Nov 2016
Posts: 1
Posts: 1
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
We know, 6*1=6
6*2=12
Lets M= 12 & N= 6
According to question there will be remainder 2 & 3 dividing by 6, So adding remainder with 12 & 6
We get M= 14 & N = 9 which is M>N
So, M- N= 14-9= 5 (Ans)

Posted from my mobile device
User avatar
Abhishek009
User avatar
Board of Directors
Joined: 11 Jun 2011
Last visit: 18 Jul 2025
Posts: 5,965
Own Kudos:
Given Kudos: 463
Status:QA & VA Forum Moderator
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Posts: 5,965
Kudos: 5,162
Kudos
Add Kudos
Bookmarks
Bookmark this Post
BrainLab
The positive integers m and n leave remainders of 2 and 3, respectively, when divided by 6. m > n.
What is the remainder when m – n is divided by 6?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Source: Gmat Math Bible

The least value of m = 14 & the least value of n = 9 ; m > n

So, m - n = 5

Or, m – n is divided by 6 is 5

Hence correct answer must be (E) 5
User avatar
vitaliyGMAT
Joined: 13 Oct 2016
Last visit: 26 Jul 2017
Posts: 297
Own Kudos:
Given Kudos: 40
GPA: 3.98
Posts: 297
Kudos: 843
Kudos
Add Kudos
Bookmarks
Bookmark this Post
BrainLab
The positive integers m and n leave remainders of 2 and 3, respectively, when divided by 6. m > n.
What is the remainder when m – n is divided by 6?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Source: Gmat Math Bible

In order to find the remainder of the difference we need only to take the difference of the remainders:

\(\frac{m - n}{6} = \frac{2 - 3}{6} = \frac{-1}{6} = \frac{5}{6}\)

Remainder is 5.

Answer E.
User avatar
gracie
Joined: 07 Dec 2014
Last visit: 11 Oct 2020
Posts: 1,035
Own Kudos:
Given Kudos: 27
Posts: 1,035
Kudos: 1,862
Kudos
Add Kudos
Bookmarks
Bookmark this Post
BrainLab
The positive integers m and n leave remainders of 2 and 3, respectively, when divided by 6. m > n.
What is the remainder when m – n is divided by 6?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Source: Gmat Math Bible

least possible value for n=3
least possible value for m>3=8
8-3=5
5/6 gives remainder of 5
E
User avatar
KanishkM
Joined: 09 Mar 2018
Last visit: 18 Dec 2021
Posts: 765
Own Kudos:
Given Kudos: 123
Location: India
Posts: 765
Kudos: 493
Kudos
Add Kudos
Bookmarks
Bookmark this Post
BrainLab
The positive integers m and n leave remainders of 2 and 3, respectively, when divided by 6. m > n.
What is the remainder when m – n is divided by 6?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Source: Gmat Math Bible

m>n
14>9

14-9 = 5/6

Remainder = 5

E
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 37,451
Own Kudos:
Posts: 37,451
Kudos: 1,013
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderators:
Math Expert
102627 posts
PS Forum Moderator
698 posts