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16 May 2021, 19:00
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A
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:
48% (01:33) correct
52%
(01:35)
wrong
based on 85
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of y?
(1) |x| ≤ y ≤ -|x|
(2) |y| ≥ x ≥ -|y|
(1) |x| ≤ y ≤ -|x|
(2) |y| ≥ x ≥ -|y|
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
16 May 2021, 20:28
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What is the value of y?
(1) |x| ≤ y ≤ -|x|
0 ≤ |x| ≤ y, so y has to be non negative.
y ≤ -|x| ≤ 0, so y has to be non positive.
Only value possible is y=0.
Sufficient
(2) |y| ≥ x ≥ -|y|
The above would be true for all values of x and y.
A
(1) |x| ≤ y ≤ -|x|
0 ≤ |x| ≤ y, so y has to be non negative.
y ≤ -|x| ≤ 0, so y has to be non positive.
Only value possible is y=0.
Sufficient
(2) |y| ≥ x ≥ -|y|
The above would be true for all values of x and y.
A
19 May 2021, 12:10
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The only value of X to verify the first inequality is 0 because if you try x=4 there can be no number that is greater than |4| and less than -|4|. These is only one case which is x=0
