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30 Dec 2022, 02:30
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:
65%
(hard)
Question Stats:
35% (01:31) correct
65%
(01:33)
wrong
based on 34
sessions
History
Date
Time
Result
Not Attempted Yet
Is \(x > y\) ?
(1) \(\frac{x}{a} < \frac{y}{a}\)
(2) \(x > 2y\)
(1) \(\frac{x}{a} < \frac{y}{a}\)
(2) \(x > 2y\)
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
30 Dec 2022, 03:03
Kudos
Bookmarks
Bunuel
Question: Does x lie to the right of y on the number line
Statement 1
\(\frac{x}{a} < \frac{y}{a}\)
\(\frac{x}{a} - \frac{y}{a} < 0\)
Case 1: a > 0
x - y < 0 ; x < y
Case 2: a < 0
x - y > 0 ; x > y
As we do not know the value of a, the statement is not sufficient and we can eliminate A and D.
Statement 2
\(x > 2y\)
The statement tells that x lies to the right of 2y on the number line , however this doesn't guarantee that x will lie to the right of y on the number line.
Ex. y is negative and 2y lies to the left of y, x can occupy any position shown in green.
----------- 2y ----------- X ------------ Y ----------- X ----------- 0 -------------------
The statement is hence not sufficient.
Combined
The statements combined do not help as well, as Statement 2 doesn't provide any information on a.
Option E
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