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# If x, y, and z are positive integers, is x - y - z positive ?

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Manager
Joined: 17 Apr 2013
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If x, y, and z are positive integers, is x - y - z positive ? [#permalink]

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14 Sep 2014, 23:42
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Question Stats:

59% (00:53) correct 41% (00:38) wrong based on 230 sessions

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If x, y, and z are positive integers, is x - y - z positive ?

(1) x > y

(2) y > z
[Reveal] Spoiler: OA

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Please +1 KUDO if my post helps. Thank you.

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Re: If x, y, and z are positive integers, is x - y - z positive ? [#permalink]

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15 Sep 2014, 00:40
clipea12 wrote:
If x, y, and z are positive integers, is x - y - z positive ?

(1) x > y

(2) y > z

It's straight E. When we combine the statements we get that x > y > z but this does not mean that x is greater than the sum of y and z:

If x = 100, y = 2 and z = 1, then x - y - z is positive.
If x = 3, y = 2 and z = 1, then x - y - z is NOT positive.

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Re: If x, y, and z are positive integers, is x - y - z positive ? [#permalink]

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18 Sep 2014, 11:43
hahaha.. nice trap!!!

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Re: If x, y, and z are positive integers, is x - y - z positive ? [#permalink]

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27 Jan 2015, 13:09
E.....3,2,1 not possible

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Re: If x, y, and z are positive integers, is x - y - z positive ? [#permalink]

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27 Jan 2015, 21:05
Algebraic approach

In order for X - Y - Z to happen you need the following condition to be met.

X - (Y + Z). You factor out the negative in Y and Z to make -(Y + Z)

The statement does not give you anything related to this.

It does give you X > Y > Z however this still has nothing to do with the above requirement.

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Re: If x, y, and z are positive integers, is x - y - z positive ? [#permalink]

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16 Feb 2016, 16:09
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If x, y, and z are positive integers, is x - y - z positive ? [#permalink]

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31 Aug 2017, 05:31
Is x-y-z>0?

means, Is x>y+z OR x-y>z OR x-z>y?

St1 Or St2 not suff.

St1 And St2 means x>y>z. None of above. INSUFF

E

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Re: If x, y, and z are positive integers, is x - y - z positive ?   [#permalink] 31 Aug 2017, 05:31
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