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Difficulty:
45%
(medium)
Question Stats:
60% (01:22) correct
40%
(01:31)
wrong
based on 121
sessions
History
Date
Time
Result
Not Attempted Yet
Given \(xy ≠ 0\), is \(\frac{2}{x} > \frac{3}{y}\)?
(1) \(2y > 3x\)
(2) \(xy > 0\)
(1) \(2y > 3x\)
(2) \(xy > 0\)
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
sjuniv32
Question: is \(\frac{2}{x} > \frac{3}{y}\)?
Statement 1: \(2y > 3x\)
for x. and y both positive, the answer to the question will be yes but
for x negative and y positive, the answer to the question will be no hence
NOT SUFFICIENT
Statement 2: \(xy > 0\)
their absolute values are incomparable hence we can not compare 2/x with 3/y hence
NOT SUFFICIENT
COmbining
\(xy > 0\) and \(2y > 3x\)
dividing by xy both sides we get
\(\frac{2}{x} > \frac{3}{y}\)
SUFFICIENT
Answer: Option C
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Posts: 5
2/x > 3/y
take it to one side :
2/x - 3/y > 0
2y-3x/xy > 0
S1 insufficiency as we don't know denominator
S2 insuff as we don't know numerator
both together suff (c)
take it to one side :
2/x - 3/y > 0
2y-3x/xy > 0
S1 insufficiency as we don't know denominator
S2 insuff as we don't know numerator
both together suff (c)
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