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# GMATprep inequality

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Senior Manager
Joined: 24 Oct 2006
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GMATprep inequality [#permalink]  17 Jan 2007, 07:30
If x>y^2>z^4 which of the following could be true?

I)x>y>z
II)z>y>x
III)x>z>y

a) I only
b) I & II
c) I & III
d) II & III
e) I, II, & III
Director
Joined: 28 Dec 2005
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Re: GMATprep inequality [#permalink]  17 Jan 2007, 08:20
Sumithra wrote:
If x>y^2>z^4 which of the following could be true?

I)x>y>z
II)z>y>x
III)x>z>y

a) I only
b) I & II
c) I & III
d) II & III
e) I, II, & III

I think E.
But I dont like the way I did it. Way too time consuming picking numbers

I) take x=2, y= 1/2, z= 1/3
II) x=1/3, y=1/2, z=2/3
III) take x= 2, y=-1/2,z=1/3

EDIT: First thought C, but turns out E.
Senior Manager
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You are right. OA is E.
Me neither. Wondering if there is a better way.
Intern
Joined: 23 Oct 2006
Posts: 34
Location: United States (CA)
Concentration: Sustainability, Entrepreneurship
GMAT 1: 720 Q48 V40
GPA: 3.3
WE: Project Management (Other)
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GMATprep inequality [#permalink]  20 Feb 2007, 09:32
E , according to me.
Senior Manager
Joined: 29 Jan 2007
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I guess the trick here is more with numbers between -1 and 1.

1 and 2 are easy to figure out.

for 3rd.. use X =1 Y =.5 and Z = .6

these three satisfy
X>Z>Y
as well as
X>y^2>z^4
Intern
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Re: GMATprep inequality [#permalink]  16 Mar 2009, 19:54
The question asks what is possible ("could be true"). One would not need to do any computation at all. Since all three are variables all of the above is possible.

I hope that is a logical approach.
Re: GMATprep inequality   [#permalink] 16 Mar 2009, 19:54
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