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Moderator  Joined: 18 Apr 2015
Posts: 5888
Followers: 96

Kudos [?]: 1154 , given: 5471

The positive integers m and n leave remainders of 2 and 3, r [#permalink]
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  , given: 88

Re: The positive integers m and n leave remainders of 2 and 3, r [#permalink]
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
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