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# Are x and y both positive?

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Senior Manager
Joined: 22 Jun 2005
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Location: London
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Are x and y both positive? [#permalink]  21 May 2006, 10:48
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Are x and y both positive?

1, 2x-2y = 1

2, x/y > 1

Director
Joined: 16 Aug 2005
Posts: 946
Location: France
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E

You can plug in some values for x,y both +ve, both -ve and +/e

You can use x=-1/2, y=-1; x=1, y=1/2, OR x=1/4, y=-1/4 for (1)
and x=-1/2, y=-1; x=1, y=1/2 for (2)
VP
Joined: 21 Sep 2003
Posts: 1065
Location: USA
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From 1) x = y + 0.5 (x>y)
INSUFF because
y = -1 , x = -0.5 NO
y = 1, x = 1.5 YES

From (2)
x/y > 1
x & y --> both +ve or both -ve

x = -4, y = -3 (x<y)
x = 4, y = 3 (x>y)
INSUFF.

Combining (1) & (2)
x & y have to be positive to satisfy both conditions. Hence C.
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SVP
Joined: 01 May 2006
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(C) as well. By the same way as giddi.
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5068
Location: Singapore
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Kudos [?]: 194 [0], given: 0

St1:
(x-y) = 1/2
Can be both positive: x-y = 1 - 1/2, or both negative: x-y = -1/2-(-1)
Insufficient.

St2:
x>y
Can be both positive or negative. Insufficient.

Using St1 and St2,
We know both must be positive as the second case cannot exist. Sufficient.

Ans C
Director
Joined: 26 Sep 2005
Posts: 577
Location: Munich,Germany
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E.

stmt 1,

x=4, Y=3.5 YES
X=-3 Y=3.5 NO

stmt 2, clearly insuff

combining,

x=4, y=3.5 YES
X=-3.5, Y =-4 NO

hence E.
Senior Manager
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