Find all School-related info fast with the new School-Specific MBA Forum

It is currently 19 Sep 2014, 02:15

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

x > y^2 > z^4

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Expert Post
VP
VP
avatar
Joined: 07 Apr 2009
Posts: 1115
Concentration: General Management, Strategy
Schools: Duke (Fuqua) - Class of 2012
Followers: 28

Kudos [?]: 323 [0], given: 19

GMAT Tests User Premium Member
x > y^2 > z^4 [#permalink] New post 16 Jul 2009, 19:02
Expert's post
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (00:50) wrong based on 6 sessions
If x > y^2 > z^4, which of the folloing 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
_________________

Diversity

Senior Manager
Senior Manager
avatar
Joined: 16 Apr 2009
Posts: 251
Schools: Ross
Followers: 1

Kudos [?]: 23 [0], given: 10

GMAT Tests User
Re: x > y^2 > z^4 [#permalink] New post 16 Jul 2009, 20:01
x>y^2>z^4

Let x be 100, y be -9 and z be -2
100>(-9)^2>(-2)^4

In this case
x>z>y

holds true

Let x be 100, y be 9 and z be 2
100>(9)^2>(2)^4

holds true
In this case
x>y>z

Hence OA -C
_________________

Keep trying no matter how hard it seems, it will get easier.

Senior Manager
Senior Manager
avatar
Joined: 04 Jun 2008
Posts: 306
Followers: 5

Kudos [?]: 99 [0], given: 15

GMAT Tests User
Re: x > y^2 > z^4 [#permalink] New post 16 Jul 2009, 21:56
Ans would be E

stmt II can also be true.

Take all 3 to be positive fractions
Say z = 0.81
y = 0.80
x = 0.7

z>y>x

and x>y^2>z^4
Expert Post
VP
VP
avatar
Joined: 07 Apr 2009
Posts: 1115
Concentration: General Management, Strategy
Schools: Duke (Fuqua) - Class of 2012
Followers: 28

Kudos [?]: 323 [0], given: 19

GMAT Tests User Premium Member
Re: x > y^2 > z^4 [#permalink] New post 17 Jul 2009, 07:33
Expert's post
the OA is E.
However, is there a more methodical way to approach this type of problem besides plug-in #s?
_________________

Diversity

Current Student
User avatar
Joined: 18 Jun 2009
Posts: 361
Location: San Francisco
Schools: Duke,Oxford,IMD,INSEAD
Followers: 8

Kudos [?]: 62 [0], given: 15

GMAT Tests User
Re: x > y^2 > z^4 [#permalink] New post 17 Jul 2009, 09:16
Nope there is no rule except for the fact that

1) -ve numbers when raised to power of multiples of two becomes +ve
2) Fractions when raised to any power decreases in its value.

These two rules should make it easier to plug in the right values
Senior Manager
Senior Manager
avatar
Joined: 16 Apr 2009
Posts: 251
Schools: Ross
Followers: 1

Kudos [?]: 23 [0], given: 10

GMAT Tests User
Re: x > y^2 > z^4 [#permalink] New post 17 Jul 2009, 16:03
Thanks rashiminet84 and gmanjesh..
_________________

Keep trying no matter how hard it seems, it will get easier.

Manager
Manager
avatar
Joined: 25 May 2011
Posts: 163
Followers: 2

Kudos [?]: 39 [0], given: 71

GMAT Tests User
Re: x > y^2 > z^4 [#permalink] New post 23 Oct 2011, 02:42
it seems that just picking numbers works for this kind of question
Expert Post
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4777
Location: Pune, India
Followers: 1116

Kudos [?]: 5063 [0], given: 164

Re: x > y^2 > z^4 [#permalink] New post 24 Oct 2011, 22:30
Expert's post
asimov wrote:
If x > y^2 > z^4, which of the folloing 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


Yes, just plugging in numbers work best for such questions. The only thing to keep in mind is that you should plug in the right numbers. How do you know the right numbers?
When I see x > y^2 > z^4, I think that y^2 and z^4 are non negative. Since y^2 > z^4, y^2 cannot be 0. Only z can be 0. x has to be positive. Also, I have to take into account two ranges: 0 to 1 and 1 to infinity. The powers behave differently in these two ranges. I will consider negative numbers only if I have to since with powers, they get confusing to deal with.

The question says: "Which of the following could be true?"
We have to find examples where each relation holds.

I. x > y > z
This is the most intuitive of course.
z = 0, y = 1 and x = 2
2 > 1^2 > 0^4

II. z > y > x
Let me consider the 0 to 1 range here. Say z = 1/2, y = 1/3 and x = 1/4
1/4 > 1/9 > 1/16

III. x > z > y
Let's stick to 0 to 1 range. z > y as in case II above but x has to be greater than both of them. Say z = 1/2, y = 1/3 and x = 1
1>1/9 > 1/16

So all three statements could be true.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews

Re: x > y^2 > z^4   [#permalink] 24 Oct 2011, 22:30
    Similar topics Author Replies Last post
Similar
Topics:
1 If x > y^2 >z^4 Baten80 3 28 Jun 2011, 10:42
If x > y^2 > Z ^4, which of the following statements agdimple333 4 23 Apr 2011, 14:40
if x > y^2 > Z^4 Ibodullo 5 02 Sep 2009, 01:37
If x > y^2 > z^4, which of the following statements marcodonzelli 1 09 Mar 2008, 21:08
1 If x > (y^2) > (z^4), which of the following kookoo4tofu 2 12 May 2007, 14:57
Display posts from previous: Sort by

x > y^2 > z^4

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.