If M and N are positive integers that have remainders of 1 : Quant Question Archive [LOCKED]
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# If M and N are positive integers that have remainders of 1

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VP
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If M and N are positive integers that have remainders of 1 [#permalink]

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23 Aug 2007, 16:23
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If M and N are positive integers that have remainders of 1 and 3, respectively, when divided by 6, which of the following could NOT be a possible value of M+N?
(A) 86
(B) 52
(C) 34
(D) 28
(E) 10

Director
Joined: 03 May 2007
Posts: 886
Schools: University of Chicago, Wharton School
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23 Aug 2007, 16:57
Ravshonbek wrote:
If M and N are positive integers that have remainders of 1 and 3, respectively, when divided by 6, which of the following could NOT be a possible value of M+N?
(A) 86
(B) 52
(C) 34
(D) 28
(E) 10

A. 86:

m+n can not have 2 as reminder it should have 4 as reminder.
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23 Aug 2007, 18:50
Ans. A

Ok,
1) if M/6 and N/6 => M+N should be /6
2) minimal value of M = 1, and N = 3, so reminder should be 4

Now check all the answer choices (devide them by 6)
Only A has reminder 2 - and this is our anwer.
23 Aug 2007, 18:50
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