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Confusing Quant Problem

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vikram4689
 Post subject: Confusing Quant Problem
 Post Posted: Sat Feb 26, 2011 12:37 pm 
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If x > y^2 > z^4 , which of the following could be true
y^2 = y to power 2
z^4 = z to power 4

1. x > y > z
2. z > y > x
3. x > z > y

a) 1 only
b) 1 & 2
c) 1 & 3
d) 2 & 3
e) 1,2 & 3

According to me answer is c) but GMAT Prep says e)......Please explain

(edited by moderator JNelson to correct typo)
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sfbay
 Post subject: Re: Confusing Quant Problem
 Post Posted: Sat Feb 26, 2011 1:32 pm 
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is that supposed to be X > Y^2 > Z^4
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vikram4689
 Post subject: Re: Confusing Quant Problem
 Post Posted: Sun Feb 27, 2011 1:57 am 
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yes x > y2 > z4 is given. and y2 = y square or y*y,
similarly z4 = z*z*z*z
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jnelson0612
 Post subject: Re: Confusing Quant Problem
 Post Posted: Sun Feb 27, 2011 7:22 pm 
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Vikram, what kind of numbers become smaller when you square them or take them to the fourth power? If you can think about this and figure it out then you will be able to see why statement 2 could be true.

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vikram4689
 Post subject: Re: Confusing Quant Problem
 Post Posted: Mon Feb 28, 2011 9:32 am 
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Oh that's so stupid of me, applied the same logic for proving 3) but missed it while solving 2)..Thanks Jnelson
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tim
 Post subject: Re: Confusing Quant Problem
 Post Posted: Fri Mar 04, 2011 1:15 am 
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:)

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