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# If m and n are integers, is m + n divisible by 3?

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Math Expert
Joined: 02 Sep 2009
Posts: 53795
If m and n are integers, is m + n divisible by 3?  [#permalink]

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12 Dec 2017, 05:53
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Difficulty:

5% (low)

Question Stats:

93% (00:56) correct 7% (01:07) wrong based on 59 sessions

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If m and n are integers, is m + n divisible by 3?

(1) (m + n)/2 is divisible by 3.
(2) m is divisible by 3.

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Intern
Joined: 23 Jul 2016
Posts: 1
Re: If m and n are integers, is m + n divisible by 3?  [#permalink]

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12 Dec 2017, 09:18
Bunuel wrote:
If m and n are integers, is m + n divisible by 3?

(1) (m + n)/2 is divisible by 3.
(2) m is divisible by 3.

Statement 1 : (m + n)/2 is divisible by 3 -----

If the number is divisible by 3, then the twice of the number will also be divisible by 3. So Statement 1 is SUFFICIENT .

Statement 2 : m is divisible by 3 -------

We cannot determine the value of n by this statement . n can be any value like 1 or 2 or 3..etc . So Statement 2 is NOT SUFFICIENT .

So , correct answer is A .
Manager
Joined: 05 Dec 2016
Posts: 241
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
Re: If m and n are integers, is m + n divisible by 3?  [#permalink]

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13 Dec 2017, 03:01
1
(1)
(m+n)/2=3*x, where x is >=1
m+n=6x follows that m+n is divisible by 3
Sufficient
(2) no information about n so insufficient

Re: If m and n are integers, is m + n divisible by 3?   [#permalink] 13 Dec 2017, 03:01
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