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27 Apr 2023, 06:30
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
68% (01:34) correct
32%
(01:54)
wrong
based on 25
sessions
History
Date
Time
Result
Not Attempted Yet
Is \(x^3y^2z<0\) ?
(1) \(x^2y<0\)
(2) \(yz<0\)
(1) \(x^2y<0\)
(2) \(yz<0\)
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
27 Apr 2023, 13:17
Kudos
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Bunuel
\(y^2\) is non-negative, hence we can reframe the question as \(x^3*z<0\)
This can happen when x and z share opposite positive-negative signs.
Statement 1
(1) \(x^2y<0\)
\(x^2\) is non-negative, hence y is negative.
However, we do not know the positive-negative nature of x and z. The statement alone is not sufficient, we can eliminate A and D.
Statement 2
(2) \(yz<0\)
y and z share opposite positive-negative nature. However, we do not know anything about the positive-negative nature of x. Hence, the statement alone is not sufficient. We can eliminate B.
Combined
From the two statements combined, we can infer that y is negative and z is positive. However, we still don't know whether x is negative. Hence, the statements combined don't help us determine the positive-negative nature of x and z.
Option E
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