It is currently 24 Mar 2019, 05:35

### 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

# The positive integers m and n leave remainders of 2 and 3, r

Author Message
TAGS:
Moderator
Joined: 18 Apr 2015
Posts: 5888
Followers: 96

Kudos [?]: 1154 [0], given: 5471

The positive integers m and n leave remainders of 2 and 3, r [#permalink]  14 Apr 2018, 02:41
Expert's post
00:00

Question Stats:

60% (01:00) correct 40% (01:18) wrong based on 15 sessions
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
[Reveal] Spoiler: OA

_________________
Director
Joined: 07 Jan 2018
Posts: 604
Followers: 7

Kudos [?]: 544 [1] , given: 88

Re: The positive integers m and n leave remainders of 2 and 3, r [#permalink]  20 Apr 2018, 03:53
1
KUDOS
Identify few members of set for $$m$$ and $$n$$
$$m$$ could be $${8,14,20}$$
$$n$$ could be $${3,9,15}$$

Given $$m>n$$ a pair of $$m,n$$ could be $$(8,3);(14,3);(20,15)$$
hence $$m-n =5,11$$
$$\frac{5}{6}$$ or $$\frac{11}{6}$$ gives a remainder of $$5$$
option E
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Re: The positive integers m and n leave remainders of 2 and 3, r   [#permalink] 20 Apr 2018, 03:53
Display posts from previous: Sort by