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If M and N are positive integers that have remainders of 1

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If M and N are positive integers that have remainders of 1 [#permalink] New post 23 Aug 2007, 17:23
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

please explain your answer, please, please
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Re: m+n [#permalink] New post 23 Aug 2007, 17:57
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

please explain your answer, please, please


A. 86:

m+n can not have 2 as reminder it should have 4 as reminder.
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 [#permalink] New post 23 Aug 2007, 19:50
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.
  [#permalink] 23 Aug 2007, 19:50
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If M and N are positive integers that have remainders of 1

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