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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
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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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100% (00:32) correct 0% (00:00) wrong based on 7 sessions

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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
[Reveal] Spoiler: OA

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Kudos [?]: 3037 [0], given: 0

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Joined: 25 Feb 2013
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Schools: Mannheim"19 (S)
GPA: 3.82
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

Option E

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Math Expert
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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: https://gmatclub.com/forum/if-x-y-and-z ... 47680.html
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Kudos [?]: 132646 [0], given: 12326

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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