number properties

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Source: — Data Sufficiency |

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by Anurag@Gurome » Wed Jan 25, 2012 7:38 pm
sud21 wrote:Is x>y?
1) x^2>y^2
2) y-y^2<0
Statement 1: x² > y²
Hence, |x| > |y|

Not sufficient

Statement 2: (y - y²) < 0 ---> y(1 - y) < 0
Hence, either y < 0 or y > 1
No information on x.

Not sufficient

1 & 2 Together: Either y < 0 or y > 1 and |x| > |y|
For, x = 4 and y = 2 ---> x > y ---> YES
For, x = -4 and y = - 2 ---> x < y ---> NO

Not sufficient

The correct answer is E.
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