It is currently 23 Feb 2018, 10:44

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If x^4 > x^5 > x^3, which of the following could be the value of x?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43892
If x^4 > x^5 > x^3, which of the following could be the value of x? [#permalink]

Show Tags

New post 23 Feb 2016, 02:05
Expert's post
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

84% (00:59) correct 16% (00:45) wrong based on 138 sessions

HideShow timer Statistics

Expert Post
3 KUDOS received
Math Expert
User avatar
D
Joined: 02 Aug 2009
Posts: 5660
If x^4 > x^5 > x^3, which of the following could be the value of x? [#permalink]

Show Tags

New post 23 Feb 2016, 07:28
3
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
Bunuel wrote:
If x^4 > x^5 > x^3, which of the following could be the value of x?

A. -3
B. -2
C. -2/3
D. 2/3
E. 3


Kudos for correct solution.


Hi,
this Q tests us on our concepts on Number properties..
x^4 > x^5 > x^3
1)here we have even power of a variable and it is more than both a bigger odd power and smaller odd power..
It can be possible only if the base is negative so x is -ive..
2) Now if x is negative, a higher power means a smaller number, if x<-1..
and a higher power results in a bigger number if 0>x>-1

combined we know that x is a negative number greater than -1..

only -2/3 is in the choices..
ans C


SUBSTITUTE
Ofcourse we can substitute each value given in choice and find answer

_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


BANGALORE/-

Manager
Manager
avatar
B
Status: Persevere
Joined: 08 Jan 2016
Posts: 123
Location: Hong Kong
GMAT 1: 750 Q50 V41
GPA: 3.52
Reviews Badge
If x^4 > x^5 > x^3, which of the following could be the value of x? [#permalink]

Show Tags

New post 23 Feb 2016, 08:47
Bunuel wrote:
If x^4 > x^5 > x^3, which of the following could be the value of x?

A. -3
B. -2
C. -2/3
D. 2/3
E. 3


Kudos for correct solution.


Let's break this question down into two parts. I: \(x^4 > x^5\) and II: \(x^5 > x^3\)
Consider Part I:
\(x^4 > x^5\)
For this to be true, either \(x\) is negative or it is a fraction less than 1

Consider Part II:
\(x^5 > x^3\)
If \(x\) is negative, then for this to be true, \(x\) has to be greater than -1.
If \(x\) is a fraction less than 1, then for this part to be true, \(x\) must also be negative.

In either case, \(x\) can be represented by the inequality \(0>x>-1\).
The only option that satisfies this condition is C (-2/3)
Director
Director
User avatar
P
Joined: 05 Mar 2015
Posts: 962
Re: If x^4 > x^5 > x^3, which of the following could be the value of x? [#permalink]

Show Tags

New post 01 Apr 2016, 17:37
Bunuel wrote:
If x^4 > x^5 > x^3, which of the following could be the value of x?

A. -3
B. -2
C. -2/3
D. 2/3
E. 3


Kudos for correct solution.


consider all three cases saperatly
a> x^4>x^3
b> x^5>x^3
c>x^4>x^5

a> x^4-x^3>0------>x^2-x>0------->x>1 or x<0
b> x^3-x>0---------->x>1 or -1<x<0
c> x^4-x^5>0-------> x^5-x^4<0-------->x-1<0------>x<1

intersection point of all three ranges are -1<x<0
only option C satisfies the criteria
So ans C.
Expert Post
Target Test Prep Representative
User avatar
S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2016
Re: If x^4 > x^5 > x^3, which of the following could be the value of x? [#permalink]

Show Tags

New post 29 Jan 2018, 09:39
Bunuel wrote:
If x^4 > x^5 > x^3, which of the following could be the value of x?

A. -3
B. -2
C. -2/3
D. 2/3
E. 3


We are given that x^4 > x^5 > x^3.

Since x^4 is greater than x^5, we see that x cannot be a positive integer.

Since x^5 is greater than x^3, we see that x cannot be a negative integer or a positive proper fraction.

Thus, x must be -2/3.

Answer: C
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: If x^4 > x^5 > x^3, which of the following could be the value of x?   [#permalink] 29 Jan 2018, 09:39
Display posts from previous: Sort by

If x^4 > x^5 > x^3, which of the following could be the value of x?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.