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14 Oct 2020, 00:15
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:
57% (02:04) correct
43%
(01:49)
wrong
based on 220
sessions
History
Date
Time
Result
Not Attempted Yet
Is \(x + 2y - 3z > 0\) ?
(1) \(4x - 3y - z > 0\)
(2) \(3x + 2z - 5y > 0\)
(1) \(4x - 3y - z > 0\)
(2) \(3x + 2z - 5y > 0\)
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
14 Oct 2020, 01:04
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Bunuel
THREE variables and that too an INEQUALITY.
The answer should be E in most cases unless one of the statements can be converted to the question inequality or both statements can add up to the question inequality.
(1) \(4x - 3y - z > 0\)
(2) \(3x + 2z - 5y > 0\)
None of the can be modified to read \(x + 2y - 3z > 0\).
Also when we add up the two statements, we get 7x-8y+z>0. Also we can find relations, in terms of inequality, between any two variables.
But we cannot answer the given question.
E
HoneyLemon
14 Oct 2020, 06:58
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Imo E.
Is \(x + 2y - 3z > 0\) ?
(1) \(4x - 3y - z > 0\)
No info about x or y or z.
x , y and z all cannot be zero .
but the exact values not known . So insufficient .
(2) \(3x + 2z - 5y > 0\)
No info about x or y or z.
x , y and z all cannot be zero .
but the exact values not known . So insufficient .
Combining 1 and 2 .
Adding the 2 equation also will not give any info on the individual x ,y or z .
Subtracting .. eq 1 - eq 2.
=
x + 2y - 3z .. but we cannot be very sure that subtraction will lead a positive value .
So insufficient .
Hence E is the correct ans .
Is \(x + 2y - 3z > 0\) ?
(1) \(4x - 3y - z > 0\)
No info about x or y or z.
x , y and z all cannot be zero .
but the exact values not known . So insufficient .
(2) \(3x + 2z - 5y > 0\)
No info about x or y or z.
x , y and z all cannot be zero .
but the exact values not known . So insufficient .
Combining 1 and 2 .
Adding the 2 equation also will not give any info on the individual x ,y or z .
Subtracting .. eq 1 - eq 2.
=
x + 2y - 3z .. but we cannot be very sure that subtraction will lead a positive value .
So insufficient .
Hence E is the correct ans .
