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If x > y^2 >z^4

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If x > y^2 >z^4 [#permalink] New post 28 Jun 2011, 10:42
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A
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E

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Question Stats:

33% (01:47) correct 67% (01:00) wrong based on 18 sessions
If x > y^2 >z^4, which of the following statements could be true?
I. x > y > z
II. z > y > x
III. x > z > y

a. I only
b. I and II only
c. I and III only
d. II and III only
e. I, II and III
[Reveal] Spoiler: OA

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Re: If x > y^2 >z^4 [#permalink] New post 28 Jun 2011, 11:19
This is a really tough problem. Here is a video explanation:
http://www.gmatquantum.com/shared-posts ... blem5.html

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Re: If x > y^2 >z^4 [#permalink] New post 28 Jun 2011, 11:48
Key word is could... E

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Re: If x > y^2 >z^4 [#permalink] New post 28 Jun 2011, 12:17
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Baten80 wrote:
If x > y^2 >z^4, which of the following statements could be true?

I. x > y > z

x=10000
y=10; y^2=100
z=1; z^4=1
x>y^2>z^4

II. z > y > x
z=0.5; z^4=0.0625
y=0.4; y^2=0.16
x=0.3
x>y^2>z^4

III. x > z > y
x=0.5
z=0.2; z^4=0.0016
y=0.1; y^2=0.01
x>y^2>z^4

a. I only
b. I and II only
c. I and III only
d. II and III only
e. I, II and III


We just need to remember that
1. the number decreases in value with increment in the power of the number if 0< number< 1;
if x=0.1; x>x^2>x^3>x^(100) because x is between 0 and 1.

2. the number increases in value with increment in the power of the number if number>1
if x=2;
x<x^2<x^(100) because x is more than 1.


Ans: "E"
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Re: If x > y^2 >z^4   [#permalink] 28 Jun 2011, 12:17
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