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08 Jan 2023, 08:35
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:
55%
(hard)
Question Stats:
59% (01:56) correct
41%
(01:27)
wrong
based on 86
sessions
History
Date
Time
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Not Attempted Yet
Is |x - z| > |x - y| ?
(1) |z| > |y|
(2) 0 > x
(1) |z| > |y|
(2) 0 > x
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
08 Jan 2023, 09:04
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Bunuel
Question: Is |x - z| > |x - y| ?
Inference: Is the distance between x and z greater than the distance between x and y ?
Statement 1
|z| > |y|
This statement tells us the distance between z and 0 is greater than the distance between y and 0. However the statement doesn't provide us with any information about x.
Hence the statement is not sufficient.
Statement 2
0 > x
The value of x is negative. We don't have any information on the position of y and z. Hence the statement is not sufficient.
Eliminate B.
Combined
The statements combined don't help either as we still don't know the relative position of x , y and z.
For example:
---- x ----- 0 ---------- y ------------------------------ z ----------
In this case the distance between x and y is less than the distance between x and z.
---------- z -- x ------------------------ 0 --- y ------
In this case the distance between x and y is greater than the distance between x and z.
Insufficient.
Option E
13 Mar 2025, 03:25
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