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# Are x and y both positive? 1) 2x - 2y = 1 2) x/y > 1 OA

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Director
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Are x and y both positive? 1) 2x - 2y = 1 2) x/y > 1 OA [#permalink]

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23 Sep 2007, 10:48
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Are x and y both positive?

1) 2x - 2y = 1

2) x/y > 1

OA to follow.
VP
Joined: 09 Jul 2007
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Re: DS: X and Y [#permalink]

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23 Sep 2007, 17:21
jimmyjamesdonkey wrote:
Are x and y both positive?

1) 2x - 2y = 1

2) x/y > 1

OA to follow.

1. 2(x-y)=1 --- > x-y=1/2 --- > now plug numbers: x=-3, y=-3.5 or it can be x=1.5, y=1 so they can be positive and negative, so not Suff.

2. x>y, no plug numbers: x=-1, y=-1.5 so both can be negative or x=2, y=1.5

combined we cannot say both positive or different as seen in above procedure.
so I would go with E.
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Re: DS: X and Y [#permalink]

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23 Sep 2007, 18:17
jimmyjamesdonkey wrote:
Are x and y both positive?

1) 2x - 2y = 1

2) x/y > 1

OA to follow.

I get C.

1) can be written as 2(x-y)=1

(x-y)=1/2 clearly insuff we dont know if x or y is positive or negative

2) x/y> 1 again insuff either both are positive or negative but they have the same sign..for sure..

combined

we know that x and y have the same sign..then (x-y)=1/2 which means means that for x to be negative y has to be negative..

lets pick a value..x=-2 or some value then y has to be fraction..if y is a fraction then its magnitude has to be greater than x..cant be possible..and x/y has to be greater than 1..

its clear that x and y are both positive..sufficient
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23 Sep 2007, 19:18
St1:
x-y = 1/2
Could be x = 1.5, y = 1 or x = -0.25, y = -0.25
Insufficient.

St2:
x and y both positive or x and y both negative and |x| must be greater than |y|.
So could be x = 6, y = 2 or x = -6, y = -2.

Using st1 and st2:
Could be x = 1.5, y = 1. Cannot be negative x and y as negaive x - negative y requires |y| > |x| which will violate st2. Sufficient.

Ans C
23 Sep 2007, 19:18
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