DS...help

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kriti87: Senior | Next Rank: 100 Posts; Posts: 61; Joined: Mon Jul 11, 2011 3:24 amFollowed by: 2 members

by kriti87 » Sat Jul 30, 2011 7:04 pm

Is x > y?

1) xy > y^2

2) x(y^2) > y^3

I cannot understand why the answer to this DS question is B.

Please help.

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Source: Beat The GMAT — Data Sufficiency | Sat Jul 30, 2011 7:04 pm

edge: Senior | Next Rank: 100 Posts; Posts: 49; Joined: Sun Jun 26, 2011 5:45 pm; Thanked: 2 times

by edge » Sat Jul 30, 2011 7:30 pm

In the future, please use spoiler tags to hide the original answer.

St1 is insufficient because the inequality may be different depending upon the sign of y.
St2 is sufficient because y^2 will always be positive, so both sides of the inequality can be divided by y^2 while preserving the inequality. i.e., x > y.

Therefore, the answer is B.

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