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31 May 2022, 01:30
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
76% (00:57) correct
24%
(01:03)
wrong
based on 66
sessions
History
Date
Time
Result
Not Attempted Yet
Is \(x > y\) ?
(1) \(x^5 > y^5\)
(2) \(x^4 < y^4\)
(1) \(x^5 > y^5\)
(2) \(x^4 < y^4\)
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
31 May 2022, 02:12
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(1) Only
It pays to take a look at the function graph for y=x^5.
We can tell that x^5>y^5 <==> x>y
We can answer "YES" to the question with certainly.
Sufficient
(2) Only
If x=2, and y=3, x^4<y^4 and x<y
Note: At this moment, we can already rule out (2)Only.
Why? Condition (1) and (2) cannot contradict with each other. Since (1) is an unequivocal "YES", (2) cannot be an absolute "No". It can only be uncertain (i.e. "yes" in some cases while "no" in other cases).
Sure enough, If x=2, and y=-3, x^4<y^4 but x>y
Insufficient
The answer is thus (A).
It pays to take a look at the function graph for y=x^5.
We can tell that x^5>y^5 <==> x>y
We can answer "YES" to the question with certainly.
Sufficient
(2) Only
If x=2, and y=3, x^4<y^4 and x<y
Note: At this moment, we can already rule out (2)Only.
Why? Condition (1) and (2) cannot contradict with each other. Since (1) is an unequivocal "YES", (2) cannot be an absolute "No". It can only be uncertain (i.e. "yes" in some cases while "no" in other cases).
Sure enough, If x=2, and y=-3, x^4<y^4 but x>y
Insufficient
The answer is thus (A).
04 Jun 2023, 23:29
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Automated notice from GMAT Club BumpBot:
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
