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

It is currently 11 Jul 2014, 09:09

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

whether x is greater than 0? 1)x^2>x^3 2) x^3<x^4

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Director
Director
User avatar
Joined: 08 Jul 2004
Posts: 606
Followers: 2

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

GMAT Tests User
whether x is greater than 0? 1)x^2>x^3 2) x^3<x^4 [#permalink] New post 28 Sep 2004, 05:43
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
332. DS: whether x is greater than 0?
1)x^2>x^3  
2) x^3<x^4
GMAT Club Legend
GMAT Club Legend
avatar
Joined: 15 Dec 2003
Posts: 4318
Followers: 17

Kudos [?]: 146 [0], given: 0

GMAT Tests User
 [#permalink] New post 28 Sep 2004, 05:59
C it is
1) x can be a fraction or negative
2) x can be positive integer > 1 or negative

Both combined we know x is negative
Remember what exponents do to numbers when
<-1
-1 to 0
0 to 1
>1
_________________

Best Regards,

Paul

Joined: 31 Dec 1969
Location: United States
Concentration: Marketing, Other
GMAT 1: 710 Q49 V38
GMAT 2: 660 Q V
GPA: 3.64
WE: Accounting (Accounting)
Followers: 0

Kudos [?]: 49 [0], given: 74611

 [#permalink] New post 28 Sep 2004, 06:04
I think E.

1. X^2-X^3>0 =>X^2(1-X)>0 =>X<1 or X<0 or X>0. So, Insuff.

2. X^3-X^4<0 =>X^3(1-X)<0 =>X>1 or X<0. So, Insuff.

Combining both we still have many possibilities of X. Hence E.
GMAT Club Legend
GMAT Club Legend
avatar
Joined: 15 Dec 2003
Posts: 4318
Followers: 17

Kudos [?]: 146 [0], given: 0

GMAT Tests User
 [#permalink] New post 28 Sep 2004, 06:14
Anonymous wrote:
I think E.

1. X^2-X^3>0 =>X^2(1-X)>0 =>X<1 or X<0 or X>0. So, Insuff.

2. X^3-X^4<0 =>X^3(1-X)<0 =>X>1 or X<0. So, Insuff.

Combining both we still have many possibilities of X. Hence E.


For #1, x cannot be >0
For instance, 2 would not work. x would have to be a positive fraction or any negative number. I stand by C :)
_________________

Best Regards,

Paul

Intern
Intern
avatar
Joined: 15 Aug 2004
Posts: 33
Followers: 1

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

 [#permalink] New post 28 Sep 2004, 06:14
Guest...

if both the equations were to be true ( put together) then the only possibility is x<0 n hence it shud be C....
Director
Director
User avatar
Joined: 08 Jul 2004
Posts: 606
Followers: 2

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

GMAT Tests User
 [#permalink] New post 28 Sep 2004, 06:17
[quote="Paul"]C it is
1) x can be a fraction or negative
2) x can be positive integer > 1 or negative

Both combined we know x is negative
Remember what exponents do to numbers when
<-1
-1 to 0
0 to 1
>1[/quote
Paul can you please elaborate the rule about what exponent do to the number?
S
GMAT Club Legend
GMAT Club Legend
avatar
Joined: 15 Dec 2003
Posts: 4318
Followers: 17

Kudos [?]: 146 [0], given: 0

GMAT Tests User
 [#permalink] New post 28 Sep 2004, 06:53
Let's take the example of x^n where n is an integer >1

when x<-1, and n is even, result will be positive; when n is odd, result will be negative. As n goes up, the abs val of the expression will be larger and larger. This is the property of integers >1 or >-1
when x is b/w -1, 0 and n is even, fraction will be positive; when n is odd, result will be a negative fraction. As n goes up, the abs val of the expression will be smaller and smaller. This is the case with fractions as you increase the exponent.
when x is b/w 0, 1, the greater n, the smaller the fraction
when x is>0, the greater n, the larger the expression.
_________________

Best Regards,

Paul

Director
Director
User avatar
Joined: 31 Aug 2004
Posts: 609
Followers: 2

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

GMAT Tests User
 [#permalink] New post 28 Sep 2004, 09:56
To me

statement 1 : x<1
statement 2 : Abs(x)>1

1+2 : x<-1 id est x < 0

Answer is C
Intern
Intern
avatar
Joined: 28 Aug 2004
Posts: 5
Followers: 0

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

 [#permalink] New post 28 Sep 2004, 17:48
Paul wrote:
C it is
1) x can be a fraction or negative
2) x can be positive integer > 1 or negative

Both combined we know x is negative
Remember what exponents do to numbers when
<-1
-1 to 0
0 to 1
>1



1) positive fraction < 1, negative numbers
2) negative numbers, positive numbers > 1

so if negative is the correct answer then would the right choice for this be:

Is the vehicle a 4x4?
1) 4x4 truck, boat
2) 4x4 suv, boat

can only be a boat?
dont mean to oversimplify just trying to come up with right analogy.
Manager
Manager
avatar
Joined: 26 Sep 2004
Posts: 137
Followers: 1

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

 [#permalink] New post 28 Sep 2004, 23:31
Anonymous wrote:
I think E.

1. X^2-X^3>0 =>X^2(1-X)>0 =>X<1 or X<0 or X>0. So, Insuff.

2. X^3-X^4<0 =>X^3(1-X)<0 =>X>1 or X<0. So, Insuff.

Combining both we still have many possibilities of X. Hence E.


Wrong because when X^2(1-X)>0 , since X^2 >= 0 always hence 1-X > 0
therefore X < 1 is all that can be derived from the statement.

C is the right answer as explained well above.
_________________

Franky
http://franky4gmat.blogspot.com

  [#permalink] 28 Sep 2004, 23:31
    Similar topics Author Replies Last post
Similar
Topics:
Is X between 0 & 1? 1) X^2 is less than X 2) X^3 is MontrealLady 2 04 Mar 2010, 17:53
Is x^2 greater than x? (1) x^2 is greater than x^3 (2) x^2 lumone 2 03 Jun 2008, 07:21
Is x between 0 and 1? (1) x^2 is less than x. (2) x^3 is johnbaker 3 27 Oct 2007, 12:57
Is x between 0 and 1? (1) x 2 is less than x. (2) x3 is crazy123 1 11 Aug 2007, 21:09
X<0? 1) X^3<X^2 2) X^3<X^4 DLMD 14 12 Apr 2005, 15:13
Display posts from previous: Sort by

whether x is greater than 0? 1)x^2>x^3 2) x^3<x^4

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

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®.