If X^3 > Y^4, which of the following CANNOT be true? : GMAT Problem Solving (PS)
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# If X^3 > Y^4, which of the following CANNOT be true?

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Manager
Joined: 24 Sep 2009
Posts: 107
GMAT 1: 710 Q49 V37
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If X^3 > Y^4, which of the following CANNOT be true? [#permalink]

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20 Mar 2010, 20:59
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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|

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Senior Manager
Joined: 13 Dec 2009
Posts: 263
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Kudos [?]: 184 [0], given: 13

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

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20 Mar 2010, 22:39
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:

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.

_________________

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

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Joined: 01 Feb 2010
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Re: If X^3 > Y^4, which of the following CANNOT be true? [#permalink]

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21 Mar 2010, 03:38
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:

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, 03:38
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