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If X^3 > Y^4, which of the following CANNOT be true?

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If X^3 > Y^4, which of the following CANNOT be true? [#permalink]

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New post 20 Mar 2010, 21:59
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

67% (01:57) correct 33% (01:47) wrong based on 6 sessions

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Source: Veritas Prep IPhone GMAT Practice Quiz - Hard Questions:

If \(X^3 > Y^4\), which of the following CANNOT be true?

a. X < 1
b. X + Y < 0
c. 0 < XY < 1
d. \(XY^2\)< 0
e. X = |X|

[Reveal] Spoiler:
Answer: D
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Re: If X^3 > Y^4, which of the following CANNOT be true? [#permalink]

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New post 20 Mar 2010, 23:39
NYCAnalyst wrote:
Source: Veritas Prep IPhone GMAT Practice Quiz - Hard Questions:

If \(X^3 > Y^4\), which of the following CANNOT be true?

a. X < 1
b. X + Y < 0
c. 0 < XY < 1
d. \(XY^2\)< 0
e. X = |X|

[Reveal] Spoiler:
Answer: D


if X^3>Y^4 it means X^3 > 0 since Y^4 is always >0.
now X^3> 0 => X>0
in option D XY^2 since X>0 and Y^2 is always going to be positive.
means XY^2 cannot be <0.

hence answer is D
_________________

My debrief: done-and-dusted-730-q49-v40

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Re: If X^3 > Y^4, which of the following CANNOT be true? [#permalink]

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New post 21 Mar 2010, 04:38
NYCAnalyst wrote:
Source: Veritas Prep IPhone GMAT Practice Quiz - Hard Questions:

If \(X^3 > Y^4\), which of the following CANNOT be true?

a. X < 1
b. X + Y < 0
c. 0 < XY < 1
d. \(XY^2\)< 0
e. X = |X|

[Reveal] Spoiler:
Answer: D


Its D.
Y^4 has to be =ve hence x^3 is also +ve.
so x is +ve from answer choices xy^2 has to be +ve as Y^2 will be +ve and x is also +ve.
Re: If X^3 > Y^4, which of the following CANNOT be true?   [#permalink] 21 Mar 2010, 04:38
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If X^3 > Y^4, which of the following CANNOT be true?

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