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

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

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

[GMAT math practice question]

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

â… . ax+by > 0
â…¡.ax-by > 0
â…¢. by-ax > 0

A. â… only
B. â…¡ only
C. â…¢ only
D.â… & â…¡ only
E. â…¡ & â…¢ only
Last edited by Max@Math Revolution on Thu Apr 12, 2018 6:14 pm, edited 1 time in total.
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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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