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21 Jan 2023, 04:34
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:
45%
(medium)
Question Stats:
52% (00:48) correct
48%
(00:44)
wrong
based on 56
sessions
History
Date
Time
Result
Not Attempted Yet
If \(mn > 0\), is \(m^3n^4 > 0\) ?
(1) \(m > 0\)
(2) \(n > 0\)
(1) \(m > 0\)
(2) \(n > 0\)
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
21 Jan 2023, 07:07
Kudos
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Bunuel
Given
\(mn > 0\)
Inference: m and n have the same sign. Either both are positive or both are negative
Question
Is \(m^3n^4 > 0\)
n^4 is positive in this case.
Hence. if m is positive, \(m^3n^4 > 0\)
Statement 1
\(m > 0\)
The statement is sufficient as we have already determined that if m is positive, \(m^3n^4 > 0\)
We can eliminate B, C and E.
Statement 2
\(n > 0\)
If n > 0, then m > 0 as they share the same sign.
The statement is also sufficient as we have already determined that if m is positive, \(m^3n^4 > 0\)
Option D
19 Mar 2024, 00:55
Kudos
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