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

It is currently 20 Oct 2014, 20:03

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^3 > x^2 ?

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
SVP
SVP
avatar
Joined: 17 Feb 2010
Posts: 1560
Followers: 12

Kudos [?]: 224 [0], given: 6

Is x^3 > x^2 ? [#permalink] New post 16 Aug 2010, 13:18
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

59% (02:12) correct 41% (00:23) wrong based on 22 sessions
Is x^3 > x^2 ?

(1) x > 0
(2) x^2 > x
[Reveal] Spoiler: OA

Last edited by Bunuel on 22 Feb 2014, 12:21, edited 1 time in total.
Renamed the topic and edited the question.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23348
Followers: 3602

Kudos [?]: 28662 [0], given: 2808

Re: Is [m]x^3 > x^2[/m] ? [#permalink] New post 16 Aug 2010, 13:48
Expert's post
seekmba wrote:
Is x^3 > x^2 ?

(1) x>0
(2) x^2>x


Is x^3>x^2? --> is x^3-x^2>0? --> is x^2(x-1)>0? --> is x>1?

(1) x>0. Not sufficient.

(2) x^2>x --> x(x-1)>0 --> either x<0 or x>1. Not sufficient.

(1)+(2) Intersection of the ranges from (1) and (2) is the range x>1. Sufficient.

Answer: C.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

SVP
SVP
avatar
Joined: 17 Feb 2010
Posts: 1560
Followers: 12

Kudos [?]: 224 [0], given: 6

Re: Is [m]x^3 > x^2[/m] ? [#permalink] New post 17 Aug 2010, 05:43
Thanks so much Bunuel.

However I did not understand how you arrived at

x^2(x-1)>0--> is x>1?
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23348
Followers: 3602

Kudos [?]: 28662 [0], given: 2808

Re: Is [m]x^3 > x^2[/m] ? [#permalink] New post 17 Aug 2010, 06:19
Expert's post
seekmba wrote:
Thanks so much Bunuel.

However I did not understand how you arrived at

x^2(x-1)>0--> is x>1?


Is x^3>x^2 --> is x^3-x^2>0 --> is x^2(x-1)>0 --> as x^2 is non negative, for x^2(x-1) to be positive x must not be zero (first multiple) and x-1 must be more than zero (second multiple) --> x\neq{0} and x-1>0 --> x>1.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

SVP
SVP
avatar
Joined: 17 Feb 2010
Posts: 1560
Followers: 12

Kudos [?]: 224 [0], given: 6

Re: Is [m]x^3 > x^2[/m] ? [#permalink] New post 17 Aug 2010, 06:49
Thanks a bunch. Makes sense now.
Manager
Manager
User avatar
Joined: 28 Feb 2010
Posts: 176
WE 1: 3 (Mining Operations)
Followers: 4

Kudos [?]: 20 [0], given: 33

Re: Is [m]x^3 > x^2[/m] ? [#permalink] New post 17 Aug 2010, 07:18
Another way of looking at the problem can be
X^2 > X means two things
1) X cannot be a fraction.
2) X can be a negative no.

Once it is ensured that X is non Negative number (as done by option A)
it will ensue that X^3 > X^2.

I Hope it helps :)
_________________

Regards,
Invincible...:)
"The way to succeed is to double your error rate."
"Most people who succeed in the face of seemingly impossible conditions are people who simply don't know how to quit."

Senior Manager
Senior Manager
User avatar
Status: Fighting on
Joined: 14 Mar 2010
Posts: 318
Schools: UCLA (R1 interview-WL), UNC(R2--interview-ding) Oxford(R2-Admit), Kelley (R2- Admit $$), McCombs(R2)
WE 1: SE - 1
WE 2: Engineer - 3
Followers: 3

Kudos [?]: 20 [0], given: 3

Re: Is [m]x^3 > x^2[/m] ? [#permalink] New post 17 Aug 2010, 13:32
answer should be C, you need to have positive number that is > 1.

1) will fail for fractions like 1/2 , 1/4 ...

2) will fail for -ve numbers

combine both you will get the number that satisfy the base question
Re: Is [m]x^3 > x^2[/m] ?   [#permalink] 17 Aug 2010, 13:32
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic Is x + x^2 + x^3 > 0 earnit 5 03 Oct 2014, 15:22
Experts publish their posts in the topic Is x^3 > x^2? (1) x > 0 (2) x^2 > x pgmat 5 06 May 2012, 18:29
8 Experts publish their posts in the topic Is x^3 > x^2? thesfactor 16 15 Mar 2011, 02:24
Is x^3 > x^2? (1) x > 0 (2) x^2 > x skim 1 05 Jun 2009, 19:18
Is X>1? 1) x^3>x 2) x^2>x>0 Professor 9 19 Mar 2006, 15:39
Display posts from previous: Sort by

Is x^3 > x^2 ?

  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®.