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# Is x+y>0? 1: X/ (x+y) >0 2: Y/ (x+y) >0

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Senior Manager
Joined: 11 Nov 2003
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Is x+y>0? 1: X/ (x+y) >0 2: Y/ (x+y) >0 [#permalink]

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08 Jul 2004, 09:40
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Is x+y>0?
1: X/ (x+y) >0
2: Y/ (x+y) >0

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CIO
Joined: 09 Mar 2003
Posts: 461

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08 Jul 2004, 10:34
It has to be E. All the variables could be either positive or negative.

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Director
Joined: 05 May 2004
Posts: 574

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Location: San Jose, CA

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08 Jul 2004, 13:40
gmatblast wrote:
Is x+y>0?
1: X/ (x+y) >0
2: Y/ (x+y) >0

E

Either X<0 Y<0 X+Y<0 or X>0 Y>0 X+Y>0

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Director
Joined: 05 Jul 2004
Posts: 893

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09 Jul 2004, 06:24
(E)

I took an example when both x+y and x and y are -ve. Condition failed

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Manager
Joined: 16 Jan 2004
Posts: 64

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Location: NJ

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09 Jul 2004, 13:17
why cant it be C

a. x/x+y >0 implies x>0 (multiplying both sides by (x+y)
b. y/x+y imples Y>0

hence x+y > 0

WHERE AM I GOING WRONG

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CIO
Joined: 09 Mar 2003
Posts: 461

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09 Jul 2004, 14:16
because with GMAT algebra you have to think beyond the typical rules to the big picture. Algebraically, you're right, x/(x+y)>0 should simplify to x>0. But because what it's really saying is that x/(x+y) is positive, you have to be prepared for the possibility that both x and (x+y) are negative. Same thing with option 2. You'd never know, so it has to be E.

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09 Jul 2004, 14:16
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