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Is x negative?

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by linfongyu » Sun Nov 22, 2009 11:41 am
Is x negative?
(1) 2x > x^2
(2) x < 1

[spoiler]OA is: A[/spoiler]
Last edited by linfongyu on Mon Nov 23, 2009 10:15 am, edited 3 times in total.
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Source: — Data Sufficiency |
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by papgust » Sun Nov 22, 2009 6:34 pm
linfongyu wrote:Is x negative?
(1) 2x > x^2
(2) x < 1
It's A IMO.

Is x negative?

1. 2x > x^2
x^2-2x < 0
x(x-2) < 0
0<x<2
Stmt 1 answers the question. Sufficient.

2. x<1
x can be -ve or zero or a positive fraction less than 1
Insufficient.

Hence A

Please share the OA.
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by heshamelaziry » Sun Nov 22, 2009 9:46 pm
agree with papgust
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by mehravikas » Mon Nov 23, 2009 4:33 pm
another way to solve statement 1 would be -

No matter what the value of x is +ve or -ve, x^2 will always be positive. It is given in statement 1 that 2x > x^2

Therefore 2x must be +ve, therefore x is +ve
papgust wrote:
linfongyu wrote:Is x negative?
(1) 2x > x^2
(2) x < 1
It's A IMO.

Is x negative?

1. 2x > x^2
x^2-2x < 0
x(x-2) < 0
0<x<2
Stmt 1 answers the question. Sufficient.

2. x<1
x can be -ve or zero or a positive fraction less than 1
Insufficient.

Hence A

Please share the OA.
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Join the discussion
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by Abdulla » Wed Nov 25, 2009 9:41 pm
papgust wrote:
linfongyu wrote:Is x negative?
(1) 2x > x^2
(2) x < 1
It's A IMO.

Is x negative?

1. 2x > x^2
x^2-2x < 0
x(x-2) < 0
0<x<2
Stmt 1 answers the question. Sufficient.

2. x<1
x can be -ve or zero or a positive fraction less than 1
Insufficient.

Hence A

Please share the OA.
Agreed
Abdulla
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