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# which is greater

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Manager
Joined: 13 Aug 2009
Posts: 151
WE 1: 4 years in IT
Followers: 1

Kudos [?]: 190 [0], given: 7

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07 Apr 2010, 08:44
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0% (00:00) correct 100% (02:30) wrong based on 2 sessions

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[Reveal] Spoiler:
OA-E

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Manager
Joined: 29 Oct 2009
Posts: 202
Concentration: General Management, Sustainability
WE: Consulting (Computer Software)
Followers: 2

Kudos [?]: 80 [0], given: 12

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07 Apr 2010, 10:34
I tried with sample numbers.
y^2 is always +ve and as X is greater, it should be +ve.
For the caseI $$x>y>z$$Consider x=5, y=2, z=1=> satisfies $$x>y^2>z^4$$
case I could be true.

For case II, $$z>y>x$$, consider fractions x=1/4,
y=1/3,z=1/2
=> satisfies $$x>y^2>z^4$$ => 1/4 > 1/9 > 1/16
case II could be true

For caseIII, $$x>z>y$$, consider x=26, y=-5 and z=-2. Here z >y
=> satisfies $$x>y^2>z^4$$ => 26>25>16
Case III could be true.

Re: which is greater   [#permalink] 07 Apr 2010, 10:34
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