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25 Feb 2020, 01:54
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B
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:
58% (01:59) correct
42%
(02:01)
wrong
based on 240
sessions
History
Date
Time
Result
Not Attempted Yet
Is \(x<y<z\) ?
(1) \(|x-1|<y<z+1\)
(2) \(|x+1|<y<z-1\)
Are You Up For the Challenge: 700 Level Questions
(1) \(|x-1|<y<z+1\)
(2) \(|x+1|<y<z-1\)
Are You Up For the Challenge: 700 Level Questions
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
25 Feb 2020, 07:24
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1. do not need to worry about the negative case of x because the absolute value of the x case ensures that y will be greater than or equal to zero.
If x is 9, the y could be 8.5 and satisfy the equation. Additionally x could be 9, y could be 10 and z could be 11. This is insufficient
2. because we have demonstrated that the absolute value sign in this question leads us to be able to ignore the negative case, statement two is sufficient. y must be one greater than x and more than 1 less than z.
Answer is B.
If x is 9, the y could be 8.5 and satisfy the equation. Additionally x could be 9, y could be 10 and z could be 11. This is insufficient
2. because we have demonstrated that the absolute value sign in this question leads us to be able to ignore the negative case, statement two is sufficient. y must be one greater than x and more than 1 less than z.
Answer is B.
25 Feb 2020, 15:13
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Bunuel
1) Statement 1 implies two different things:
-y<x-1<y
which means
that y is greater than x-1 but we dont know whether y is greater than x.
hence insufficient, remove A.
2) Staement 2 implies that
-y+1<x<y-1
which means x+1<y which automatically means x<y.
Further the statement also mentions y<z-1
which means y<z.
Hence proved that x<y<z
hence the answer IS B.
