If x > y >0, a < 0 and b > 0, then which of the

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Max@Math Revolution: Elite Legendary Member; Posts: 3991; Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members; Location: Las Vegas, USA; Thanked: 19 times

by Max@Math Revolution » Thu Apr 05, 2018 3:24 am

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[GMAT math practice question]

If x > y >0, a < 0 and b > 0, then which of the following is (are) true?

Ⅰ. ax+by > 0
Ⅱ.ax-by > 0
Ⅲ. by-ax > 0

A. Ⅰonly
B. Ⅱ only
C. Ⅲ only
D.Ⅰ& Ⅱ only
E. Ⅱ & Ⅲ only

Last edited by Max@Math Revolution on Thu Apr 12, 2018 6:14 pm, edited 1 time in total.

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Source: Beat The GMAT — Problem Solving | Thu Apr 05, 2018 3:24 am

Max@Math Revolution: Elite Legendary Member; Posts: 3991; Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members; Location: Las Vegas, USA; Thanked: 19 times

by Max@Math Revolution » Sun Apr 08, 2018 5:04 pm

=>

Statement I.
x = 2, y = 1, a = -1, b = 1: False

Statement II.
x = 2, y = 1, a = -1, b = 1: False

Statement III.
Since a < 0 and x > 0, -ax > 0. And by > 0 since b > 0 and y > 0.
by – ax = by + (-ax) > 0. True

Therefore, C is the answer.

Answer: C

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