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04 Nov 2019, 03:17
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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:
95%
(hard)
Question Stats:
40% (02:10) correct
60%
(02:32)
wrong
based on 265
sessions
History
Date
Time
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Not Attempted Yet
If w, x, y, and z are all positive numbers, then what is the value of (z - w)?
(1) \(z*y + w*x - y*w - x*z = 0\)
(2) \(y*w - x*z - z*y + w*x = 0\)
Are You Up For the Challenge: 700 Level Questions
(1) \(z*y + w*x - y*w - x*z = 0\)
(2) \(y*w - x*z - z*y + w*x = 0\)
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
04 Nov 2019, 05:29
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If w, x, y, and z are all positive numbers, then what is the value of (z - w)?
STATEMENT (1) z∗y + w∗x − y∗w − x∗z = 0
z∗y − y∗w − x∗z + w∗x = 0
y(z−w) − x(z−w) = 0
(y−x)(z−w) = 0
either (y−x) = 0 or (z−w) = 0
we cant get definite value of (z−w)
so, INSUFFICIENT
STATEMENT (2) y∗w − x∗z − z∗y + w∗x = 0
x∗z − w∗x + z∗y − y∗w = 0
x(z−w) + y(z−w) = 0
(x+y)(z−w) = 0
since x and y are positive integers so (x+y) cant be = 0
so, (z−w) = 0
what is the value of (z - w)? --- 0
SUFFICIENT
B is the answer
STATEMENT (1) z∗y + w∗x − y∗w − x∗z = 0
z∗y − y∗w − x∗z + w∗x = 0
y(z−w) − x(z−w) = 0
(y−x)(z−w) = 0
either (y−x) = 0 or (z−w) = 0
we cant get definite value of (z−w)
so, INSUFFICIENT
STATEMENT (2) y∗w − x∗z − z∗y + w∗x = 0
x∗z − w∗x + z∗y − y∗w = 0
x(z−w) + y(z−w) = 0
(x+y)(z−w) = 0
since x and y are positive integers so (x+y) cant be = 0
so, (z−w) = 0
what is the value of (z - w)? --- 0
SUFFICIENT
B is the answer
01 Oct 2023, 00:47
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