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# Are x and y both positive?

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Senior Manager
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Are x and y both positive? [#permalink]

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21 May 2006, 11:48
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Are x and y both positive?

1, 2x-2y = 1

2, x/y > 1

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Director
Joined: 16 Aug 2005
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21 May 2006, 12:23
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)

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VP
Joined: 21 Sep 2003
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21 May 2006, 13:29
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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"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

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SVP
Joined: 01 May 2006
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21 May 2006, 13:59
(C) as well. By the same way as giddi.

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GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5034

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21 May 2006, 22:27
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

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Director
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15 Jun 2006, 09:03
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.

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Senior Manager
Joined: 11 May 2006
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15 Jun 2006, 09:49

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15 Jun 2006, 09:49
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# Are x and y both positive?

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