DS question on inequalities !

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praveen_gmat: Senior | Next Rank: 100 Posts; Posts: 63; Joined: Sat Jul 24, 2010 10:29 amFollowed by: 1 member; Thanked: 1 times; GMAT Score:640

by praveen_gmat » Wed Feb 01, 2012 11:22 pm

Is x|y| > y^2?
(1) x > y
(2) y > 0

How to do? .. OA is C

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Source: Beat The GMAT — Data Sufficiency | Wed Feb 01, 2012 11:22 pm

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Wed Feb 01, 2012 11:37 pm

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Last edited by Anurag@Gurome on Wed Feb 01, 2012 11:40 pm, edited 1 time in total.

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Wed Feb 01, 2012 11:40 pm

praveen_gmat wrote:Is x|y| > y^2?
(1) x > y
(2) y > 0

How to do? .. OA is C

I am assuming the question is: Is x|y| > yÂ²?

(1) x > y
If x = 3 , y = 1, then x|y| = 3 > yÂ²
If x = 2, y = -3, then x|y| = -6 < yÂ²
No definite answer; NOT sufficient.

(2) y > 0
If x = 3 , y = 1, then x|y| = 3 > yÂ²
If x = 2, y = 3, then x|y| = 6 < yÂ²
No definite answer; NOT sufficient.

Combining (1) and (2), x > y > 0, which implies x and y are positive numbers such that x > y.
If x = 3 , y = 1, then x|y| = 3 > yÂ²
If x = 10, y = 3, then x|y| = 30 > yÂ²; SUFFICIENT.

The correct answer is C.

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