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0 < x < 1
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20 Mar 2023, 10:09
20 Mar 2023, 10:09
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Question Stats:
76% (01:08) correct
23% (01:25) wrong based on 21 sessions
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\(0 < x < 1\)
A Quantity A is greater.
B Quantity B is greater.
C The two quantities are equal.
D The relationship cannot be determined from the information given.
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE INEQUALITIES
Quantity A |
Quantity B |
\(x-x^5\) |
\(x^2-x^3 \) |
A Quantity A is greater.
B Quantity B is greater.
C The two quantities are equal.
D The relationship cannot be determined from the information given.
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE INEQUALITIES
Re: 0 < x < 1
[#permalink]
10 Apr 2023, 12:58
10 Apr 2023, 12:58
Expert Reply
This is a tricky one. really
we do know that x is between 0 and 1. as such, it is a fraction positive
Now, we do also know that the more a fraction is raised to a power the more the value will get smaller
screenshot.1258.jpg [ 10.18 KiB | Viewed 1061 times ]
The difference of the variable are as follow
screenshot.1259.jpg [ 10.94 KiB | Viewed 1074 times ]
So the difference between \(š„\) and \(š„^5\) is greater than the difference between \(š„^2 \) and \(š„^3\)
we do know that x is between 0 and 1. as such, it is a fraction positive
Now, we do also know that the more a fraction is raised to a power the more the value will get smaller
Attachment:
screenshot.1258.jpg [ 10.18 KiB | Viewed 1061 times ]
The difference of the variable are as follow
Attachment:
screenshot.1259.jpg [ 10.94 KiB | Viewed 1074 times ]
So the difference between \(š„\) and \(š„^5\) is greater than the difference between \(š„^2 \) and \(š„^3\)
gmatclubot
Re: 0 < x < 1 [#permalink]
10 Apr 2023, 12:58
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