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praveen_gmat
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DS question on inequalities !
This topic has expert replies
Source: Beat The GMAT — Data Sufficiency |
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Anurag@Gurome
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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
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I am assuming the question is: Is x|y| > y²?praveen_gmat wrote:Is x|y| > y^2?
(1) x > y
(2) y > 0
How to do? .. OA is C
(1) x > y
If x = 3 , y = 1, then x|y| = 3 > y²
If x = 2, y = -3, then x|y| = -6 < y²
No definite answer; NOT sufficient.
(2) y > 0
If x = 3 , y = 1, then x|y| = 3 > y²
If x = 2, y = 3, then x|y| = 6 < y²
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 > y²
If x = 10, y = 3, then x|y| = 30 > y²; SUFFICIENT.
The correct answer is C.
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