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

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New post 28 Sep 2017, 01:32
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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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New post 28 Sep 2017, 01:57
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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Re: If x, y, and z are positive integers, is x+y divisible by 5? 1) x+z is  [#permalink]

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New post 28 Sep 2017, 02:15
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

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This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. 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 &nbs [#permalink] 28 Sep 2017, 02:15
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