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

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Senior Manager
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Is x+y>0? 1: X/ (x+y) >0 2: Y/ (x+y) >0 [#permalink] New post 08 Jul 2004, 08:40
00:00
A
B
C
D
E

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(N/A)

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0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Is x+y>0?
1: X/ (x+y) >0
2: Y/ (x+y) >0
CIO
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 [#permalink] New post 08 Jul 2004, 09:34
It has to be E. All the variables could be either positive or negative.
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Re: DS [#permalink] New post 08 Jul 2004, 12:40
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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 [#permalink] New post 09 Jul 2004, 05:24
(E)

I took an example when both x+y and x and y are -ve. Condition failed
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 [#permalink] New post 09 Jul 2004, 12:17
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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 [#permalink] New post 09 Jul 2004, 13:16
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.
  [#permalink] 09 Jul 2004, 13:16
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