|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
24 Jun 2022, 01:30
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
69% (01:54) correct
31%
(01:31)
wrong
based on 35
sessions
History
Date
Time
Result
Not Attempted Yet
Which two of the following three inequalities must be true \(xz < 0, \ yz < 0,\) and \(yx < 0\)?
(1) \(xy^2z < 0\)
(2) \(x^2yz < 0\)
(1) \(xy^2z < 0\)
(2) \(x^2yz < 0\)
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
24 Jun 2022, 01:55
Kudos
Bookmarks
(1) Only
Because y^2>=0
We know xz<0
But y can be either positive or negative.
Not sufficient.
(2)Only
Similarly, we know yz<0
But x can be either positive or negative.
Not sufficient.
(1)(2)Together
xz<0, yz<0
So z^2*x*y>0 => xy>0
Sufficient.
The answer is thus (C).
Because y^2>=0
We know xz<0
But y can be either positive or negative.
Not sufficient.
(2)Only
Similarly, we know yz<0
But x can be either positive or negative.
Not sufficient.
(1)(2)Together
xz<0, yz<0
So z^2*x*y>0 => xy>0
Sufficient.
The answer is thus (C).
24 Jun 2022, 22:00
Kudos
Bookmarks
Bunuel
Statement 1 Only -
\(xy^2z < 0\)
\(x < 0\) OR \(z < 0\)
y is unknown (can be +ve or -ve). Hence, we do not know about yz and yx. NOT SUFFICIENT
Statement 2 Only -
\(x^2yz < 0\)
\(y < 0\) OR \(z < 0\)
x is unknown (can be +ve or -ve). Hence, we do not know about xz and yx. NOT SUFFICIENT
Combined -
\(xz < 0\)
\(yz < 0\)
\(xz^2y > 0\)
\(xy > 0\)
SUFFICIENT
Hence answer is C.
