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06 Sep 2021, 01:30
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A
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Difficulty:
15%
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Question Stats:
80% (00:48) correct
20%
(00:59)
wrong
based on 237
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What is the value of |x| − x ?
(1) x ≥ 0
(2) |x| > 0
(1) x ≥ 0
(2) |x| > 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
06 Sep 2021, 02:35
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(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
From (1):
X is 0 or Positive, so |X| will be either 0 or a positive integer X.
IF X=0 then, |X| − X = 0-0= 0
IF X=1 then, |X| − X= 1-1=0
So, for all positive integers, |X| − X will be 0.
Thus, (1) is sufficient.
From (2):
|X|>0 , so X could be any non-zero integer.
IF X=1 then, |X| − X= 1-1=0
IF X= -1 then, |X| − X= 1+1=2
So, |X| − X cannot be determined.
Thus, (2) is not sufficient.
From (1):
X is 0 or Positive, so |X| will be either 0 or a positive integer X.
IF X=0 then, |X| − X = 0-0= 0
IF X=1 then, |X| − X= 1-1=0
So, for all positive integers, |X| − X will be 0.
Thus, (1) is sufficient.
From (2):
|X|>0 , so X could be any non-zero integer.
IF X=1 then, |X| − X= 1-1=0
IF X= -1 then, |X| − X= 1+1=2
So, |X| − X cannot be determined.
Thus, (2) is not sufficient.
asishron29181
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06 Sep 2021, 04:12
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What is the value of |x| − x ?
(1) x ≥ 0
Let x = 0
|x| = 0
0 - 0 = 0
Let = 3
|x| =3
3-3=0
Same results.
Sufficient.
(2) |x| > 0
Let x = -2
|x| − x= 4
x=1
|x| − x=0
Two different results.
Not sufficient.
IMO A
(1) x ≥ 0
Let x = 0
|x| = 0
0 - 0 = 0
Let = 3
|x| =3
3-3=0
Same results.
Sufficient.
(2) |x| > 0
Let x = -2
|x| − x= 4
x=1
|x| − x=0
Two different results.
Not sufficient.
IMO A
