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

It is currently 12 Jul 2014, 10:27

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

Is x negative?

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
User avatar
Joined: 27 Jun 2012
Posts: 417
Concentration: Strategy, Finance
Followers: 35

Kudos [?]: 296 [0], given: 182

Is x negative? [#permalink] New post 17 Feb 2013, 11:16
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

48% (02:22) correct 52% (01:05) wrong based on 100 sessions
Is x negative?

(1) At least one of x and x^2 is greater than x^3.
(2) At least one of x^2 and x^3 is greater than x.
[Reveal] Spoiler: OA

_________________

Thanks,
PraPon

VOTE: vote-best-gmat-practice-tests-excluding-gmatprep-144859.html
Tough RCs: Passage1 | Passage2 | Passage3 | Passage4 | Passage5 | Passage6 | Passage7

3 KUDOS received
GMAT Instructor
avatar
Joined: 24 Jun 2008
Posts: 967
Location: Toronto
Followers: 243

Kudos [?]: 610 [3] , given: 3

GMAT Tests User
Re: Is x negative? At least one of x and x^2 is greater x^3 [#permalink] New post 17 Feb 2013, 13:50
3
This post received
KUDOS
If x > 1, then it is always true that x < x^2 < x^3.

If 0 < x < 1, then it is always true that x^3 < x^2 < x.

From the above, you can see that neither statement is sufficient alone, since in each case, x can be positive. Notice from the above that if x is positive, x^2 is never the largest of the three expressions x, x^2 and x^3. Since Statement 1 guarantees that x^3 is not the largest of the three expressions, and Statement 2 guarantees that x is not the largest of the three expressions, then using both statements, the only possibility is that x^2 is the largest of the three expressions. Since that can't happen when x is positive, x must be negative, and the answer is C.
_________________

Nov 2011: After years of development, I am now making my advanced Quant books and high-level problem sets available for sale. Contact me at ianstewartgmat at gmail.com for details.

Private GMAT Tutor based in Toronto

SVP
SVP
User avatar
Joined: 06 Sep 2013
Posts: 1629
Location: United States
Concentration: Finance
GMAT 1: 710 Q48 V39
WE: Corporate Finance (Investment Banking)
Followers: 10

Kudos [?]: 128 [0], given: 254

GMAT ToolKit User
Re: Is x negative? [#permalink] New post 04 Feb 2014, 06:28
PraPon wrote:
Is x negative?

(1) At least one of x and x^2 is greater than x^3.
(2) At least one of x^2 and x^3 is greater than x.


I second the approach by IanStewart although I followed a slightly different approach

Statement 1

X could be either a fraction or a negative number

Statement 2

X could be either a positive or a negative number

Statement 1 and 2 together

X has to be a negative number

C

Just my 2c

Cheers
J
Re: Is x negative?   [#permalink] 04 Feb 2014, 06:28
    Similar topics Author Replies Last post
Similar
Topics:
2 Experts publish their posts in the topic Is x negative? summer101 5 02 Jun 2013, 03:40
2 Experts publish their posts in the topic Is x negative? dvinoth86 4 19 Feb 2012, 19:05
1 Is x negative? MackyCee 8 29 Jul 2011, 22:36
6 Experts publish their posts in the topic Is x negative? abhi758 24 10 Apr 2010, 09:37
2 Experts publish their posts in the topic Is x negative? gi 5 21 Dec 2009, 12:01
Display posts from previous: Sort by

Is x negative?

  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®.