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Preparing for the GMAT? Avoid these 5 major mistakes that can lower your score and hurt your MBA dreams. In this expert panel discussion, 4 top GMAT coaches - GMAT Ninja, Jeff Miller from TTP, Rida Shafiq from eGMAT, and Chris Gentry from Manhattan Prep- Mar 27
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Full-length FE mock with insightful analytics, weakness diagnosis, and video explanations!
21 Dec 2015, 09:15
Kudos
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
84% (01:02) correct
16%
(01:10)
wrong
based on 361
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If \(x≠0\), is \(-\frac{4}{x^3}\) negative?
(1) \(x\) is positive.
(2) \(x^3 - x^2\) is positive.
(1) \(x\) is positive.
(2) \(x^3 - x^2\) is positive.
21 Dec 2015, 09:25
Kudos
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If \(x≠0\), is \(-\frac{4}{x^3}\) negative?
Notice that the question basically asks whether x is a positive number, because if it is then \(-\frac{4}{x^3} =-(\frac{positive}{positive})=negative\).
(1) \(x\) is positive. Directly answers the question. Sufficient.
(2) \(x^3 - x^2\) is positive --> x^3- x^2 > 0 --> x^3 > x^2 --> reduce by x^2 (we can safely do that because x^2 will be positive): x > 1. The same here: x is positive. Sufficient.
Answer: D.
Hope it's clear.
Notice that the question basically asks whether x is a positive number, because if it is then \(-\frac{4}{x^3} =-(\frac{positive}{positive})=negative\).
(1) \(x\) is positive. Directly answers the question. Sufficient.
(2) \(x^3 - x^2\) is positive --> x^3- x^2 > 0 --> x^3 > x^2 --> reduce by x^2 (we can safely do that because x^2 will be positive): x > 1. The same here: x is positive. Sufficient.
Answer: D.
Hope it's clear.
General Discussion
21 Dec 2015, 09:31
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Bunuel
If \(x≠0\), is \(-\frac{4}{x^3}\) negative?
Notice that the question basically asks whether x is a positive number, because if it is then \(-\frac{4}{x^3} =-(\frac{positive}{positive})=negative\).
(1) \(x\) is positive. Directly answers the question. Sufficient.
(2) \(x^3 - x^2\) is positive --> x^3- x^2 > 0 --> x^3 > x^2 --> reduce by x^2 (we can safely do that because x^2 will be positive): x > 1. The same here: x is positive. Sufficient.
Answer: D.
Hope it's clear.
Notice that the question basically asks whether x is a positive number, because if it is then \(-\frac{4}{x^3} =-(\frac{positive}{positive})=negative\).
(1) \(x\) is positive. Directly answers the question. Sufficient.
(2) \(x^3 - x^2\) is positive --> x^3- x^2 > 0 --> x^3 > x^2 --> reduce by x^2 (we can safely do that because x^2 will be positive): x > 1. The same here: x is positive. Sufficient.
Answer: D.
Hope it's clear.
Thanks. You got KUDO, as my token of appreciation.
