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# If x > y^2 >z^4

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If x > y^2 >z^4 [#permalink]  28 Jun 2011, 10:42
00:00

Difficulty:

55% (hard)

Question Stats:

38% (01:35) correct 62% (00:55) wrong based on 21 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]  28 Jun 2011, 12:17
1
KUDOS
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, 11:19
This is a really tough problem. Here is a video explanation:
http://www.gmatquantum.com/shared-posts ... blem5.html

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

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Re: If x > y^2 >z^4   [#permalink] 28 Jun 2011, 11:48
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