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If x, y, and z are positive integers, is x+y divisible by 5? 1) x+z is

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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If x, y, and z are positive integers, is x+y divisible by 5? 1) x+z is [#permalink]

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28 Sep 2017, 02:32
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[GMAT math practice question]

If x, y, and z are positive integers, is x+y divisible by 5?

1) x+z is divisible by 5
2) y+z is divisible by 5

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If x, y, and z are positive integers, is x+y divisible by 5? 1) x+z is [#permalink]

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28 Sep 2017, 02:57
MathRevolution wrote:
[GMAT math practice question]

If x, y, and z are positive integers, is x+y divisible by 5?

1) x+z is divisible by 5
2) y+z is divisible by 5

Statement 1: $$x+z=5k$$ or $$x=5k-z$$. but nothing mentioned about $$y$$. Hence insufficient

Statement 2: $$y+z=5q$$, or $$y=5q-z$$. but nothing mentioned about $$x$$. hence insufficient

Combining 1 & 2 we get, $$x+y=5k+5q-2z$$. we don't know the value of $$z$$. if $$z$$ is a multiple of $$5$$ then $$x+y$$ will be divisible by $$5$$ but if $$z$$ is not a multiple of $$5$$ then $$x+y$$ will not be divisible by $$5$$. hence insufficient

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Math Expert
Joined: 02 Sep 2009
Posts: 45305
Re: If x, y, and z are positive integers, is x+y divisible by 5? 1) x+z is [#permalink]

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28 Sep 2017, 03:15
MathRevolution wrote:
[GMAT math practice question]

If x, y, and z are positive integers, is x+y divisible by 5?

1) x+z is divisible by 5
2) y+z is divisible by 5

You've posted this before: if-x-y-and-z-are-positive-integers-is-x-y-divisible-by-5-1-x-z-is-247680.html

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: If x, y, and z are positive integers, is x+y divisible by 5? 1) x+z is   [#permalink] 28 Sep 2017, 03:15
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