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03 Sep 2023, 08:00
Kudos
Bookmarks
C
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:
50% (01:11) correct
50%
(01:12)
wrong
based on 38
sessions
History
Date
Time
Result
Not Attempted Yet
Is x < 1/y?
(1) y > 0
(2) xy < 1
(1) y > 0
(2) xy < 1
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
03 Sep 2023, 09:38
Kudos
Bookmarks
Bunuel
\(x - \frac{1}{y} < 0\)
\(\frac{xy - 1}{y} < 0\)
- Case 1: If y < 0
xy - 1 > 0
xy > 1 - Case 2: If y > 0
xy - 1 < 0
xy < 1
Statement 1
(1) y > 0
We don't know whether xy > 1. Hence, the statement alone is not sufficient. We can eliminate A and D.
Statement 2
(2) xy < 1
We don't know whether y > 0. Hence, the statement alone is not sufficient. We can eliminate B.
Combined
Combined we know that y > 0 and xy < 1. Hence, we can conclude that "Is x < 1/y?" → Yes.
Option C
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