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Relation between x, y^2 and z^4

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Relation between x, y^2 and z^4 [#permalink] New post 19 Apr 2009, 00:21
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A
B
C
D
E

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22% (04:28) correct 78% (01:12) wrong based on 21 sessions
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 and II only
c. I and III only
d. II and III only
e. I, II and III
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Re: GPrep questn [#permalink] New post 19 Apr 2009, 08:24
(c)

if x, y & z are positive (I) is true

if x, y & z are negative (III) is true
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Re: GPrep questn [#permalink] New post 20 Apr 2009, 09:14
Can anybody give an example of option 2. Also is there any formula to pick numbers so that the question can be slolved within 2 mins.
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Re: GPrep questn [#permalink] New post 21 Apr 2009, 19:31
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Please see my video solution.

http://www.gmatquantum.com/shared-posts ... blem5.html

Dabral

mavesum 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 and II only
c. I and III only
d. II and III only
e. I,II and III

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Last edited by dabral on 24 May 2011, 19:12, edited 2 times in total.
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Re: GPrep questn [#permalink] New post 20 Aug 2009, 03:38
case 1 x=10 y=(+/-)3 z=(+/-)1
case 2 x=10 y=(+/-)1/2 z=(+/-)1/4

work out it will give you I and III true hence ans=c
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Re: GPrep questn [#permalink] New post 20 Aug 2009, 07:31
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use examples:

x=100
y= 2
z=1

then I is correct

x=0.1
y=0.2
z=0.3

then II is correct

x=0.5
y=0.2
z=0.3
then III is correct

therefore answer is e.
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Re: GPrep questn [#permalink] New post 20 Aug 2009, 23:15
mavesum 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 and II only
c. I and III only
d. II and III only
e. I,II and III



E for me.
I. x > y > z
If x = 0.3, y can be 0.03 & z can be 0.003 and still satisfy x > y^2 > z^4.

II. z > y > x
If x = 0.4, y can be 0.45 & z can be 0.5 and still satisfy x > y^2 > z^4.

III. x > z > y
If x = 3, z can be 1, y can be -3 and still satisfy x > y^2 > z^4.

Hope this makes sense.
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Re: GPrep questn [#permalink] New post 16 Sep 2009, 08:52
E. Question asks what could be true, not what must be.
in second choice the only way is to pick fractions.
a very good explanation dabral gives on the link, he gave in the post above. kudos for you.
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Relation between x, y^2 and z^4 [#permalink] New post 29 Oct 2009, 13:38
Hi guys,

Came across this problem in GMAT prep. Could not understand why my answer was incorrect.

Given that 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 and II only
C. I and III only
D. II and III only
E. I, II and III

Pls explain.
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Re: Relation between x, y^2 and z^4 [#permalink] New post 29 Oct 2009, 14:06
I think the answer is E and I don't have much time to explain, so what I'll say is think of fractions.

kalpeshchopada7 wrote:
Hi guys,

Came across this problem in GMAT prep. Could not understand why my answer was incorrect.

Given that 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 and II only
C. I and III only
D. II and III only
E. I, II and III

Pls explain.

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Re: Relation between x, y^2 and z^4 [#permalink] New post 29 Oct 2009, 15:26
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All you have to do is to pick numbers. Let's test...

Given x>y^2>z^4

I.x>y>z: pick x=9, y=2, z=1. Check 9>4>1. So, it could be true.

II. z>y>x: pick z=8/10, y=7/10 and x=6/10. Check \frac{6}{10}>\frac{49}{100}>\frac{4,096}{10,000}. So, it also could be true.

III. x>z>y: pick x=1, z=8/10 and y=7/10. Checking... 1>\frac{49}{100}>\frac{4,096}{10,000}. And this one could be true.

Hint: Solving this question, you should remember that x^2<x^1, for all 0<x<1.

Therefore, the answer should be E.

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gmat prep Q [#permalink] New post 15 Jun 2010, 11:25
IF x>y^2>z^4

then which of hte following is true?

x>y>z
z>y>x
x>z>y


OA is
[Reveal] Spoiler:
all three


Could somebody provide an explanation that for the 3rd one to be correct?
gmat prep Q   [#permalink] 15 Jun 2010, 11:25
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