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# The positive integers m and n leave a remainder of 2 and 3,

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Kudos [?]: 1344 [0], given: 6318

The positive integers m and n leave a remainder of 2 and 3, [#permalink]  14 Apr 2018, 02:49
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Question Stats:

58% (01:19) correct 41% (01:18) wrong based on 29 sessions

The positive integers m and n leave a remainder of 2 and 3, respectively, when divided by 6.

$$m > n$$.

 Quantity A Quantity B The remainder when m + n is divided by 6 The remainder when m – n is divided by 6

A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
[Reveal] Spoiler: OA

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Kudos [?]: 602 [2] , given: 88

Re: The positive integers m and n leave a remainder of 2 and 3, [#permalink]  14 Apr 2018, 22:35
2
KUDOS
Probable values for $$m = 2,8,14,20,26............$$
Probable values for $$n = 3,9,15,21,27.............$$

Probable values for $$m+n = 11, 17, 35,...$$ in every case when these numbers are divided by $$6$$the remainder is $$5$$
when chosing number for $$m-n$$ we should make sure that this is a $$+$$ve number since $$m>n$$
Probable values for $$m-n = 5, 11, 17,...$$ in every case the remainder when divided by $$6 = 5$$
option c
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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 a remainder of 2 and 3,   [#permalink] 14 Apr 2018, 22:35
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