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

 It is currently 25 May 2015, 00:19

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Is x > 0

Author Message
TAGS:
Director
Joined: 07 Jun 2004
Posts: 614
Location: PA
Followers: 3

Kudos [?]: 290 [2] , given: 22

Is x > 0 [#permalink]  24 Jan 2011, 05:42
2
KUDOS
2
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

66% (01:55) correct 34% (00:58) wrong based on 91 sessions
Is x > 0

(1) x < x^2
(2) x^2 < x^3
[Reveal] Spoiler: OA

_________________

If the Q jogged your mind do Kudos me : )

Intern
Joined: 13 Oct 2010
Posts: 21
Location: Milpitas, CA
Followers: 2

Kudos [?]: 1 [0], given: 0

Re: One more Algebra DS [#permalink]  24 Jan 2011, 05:59
(1) If x = 2, then $$x^2 = 4$$; here x > 0
If x = -2, then $$x^2 = (-2)^2 = 4$$; here x < 0
x may or may not be greater than 0. Hence, there is no unique answer.
So, statement 1 is NOT SUFFICIENT.

(2) $$x^2 < x^3$$ implies that x > 1, which implies x is always positive. So, x > 0.
So, statement 2 is SUFFICIENT.

[Reveal] Spoiler:

_________________

Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
+91-99201 32411 (India)

Math Expert
Joined: 02 Sep 2009
Posts: 27472
Followers: 4312

Kudos [?]: 42241 [1] , given: 5969

Re: One more Algebra DS [#permalink]  24 Jan 2011, 06:37
1
KUDOS
Expert's post
rxs0005 wrote:
is x > 0

S1 x < x^2

S2 x^2 < x^3

Is x > 0?

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

(2) x^2 < x^3 --> x^2(x-1)>0 --> x>1. Sufficient.

_________________
Manager
Joined: 19 Dec 2010
Posts: 145
Followers: 2

Kudos [?]: 19 [0], given: 12

Re: One more Algebra DS [#permalink]  17 Mar 2011, 21:56
Very easy. Question asks if x is positive ...fraction OR integer doesn't matter..
Statement 1 says that x is either a negative fraction OR a positive integer.
Statement 2 says that x is definitely a positive integer.
Hence B
SVP
Joined: 16 Nov 2010
Posts: 1680
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 31

Kudos [?]: 345 [0], given: 36

Re: One more Algebra DS [#permalink]  17 Mar 2011, 23:09
(1)

x-x^2 < 0

x(1-x) < 0

=> x > 1 or x < 0, so not sufficient

(2)
x^2 < x^3

=> x is +ve as if x is -ve then, then x^3 will be -ve while x^2 will be still +ve and +ve can't be < -ve

_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 4928
Followers: 297

Kudos [?]: 54 [0], given: 0

Re: Is x > 0 [#permalink]  09 Oct 2014, 08:13
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: Is x > 0   [#permalink] 09 Oct 2014, 08:13
Similar topics Replies Last post
Similar
Topics:
4 If x > 0, is √x > x ? 5 16 Feb 2015, 05:48
2 Is 5 > x > 0 ? 9 28 Feb 2011, 23:18
8 If x > 0, is x/y > x ? 13 08 Oct 2009, 12:27
11 Is x > 0? 12 15 Aug 2009, 13:48
is x+y > 0? 6 22 Jan 2006, 22:14
Display posts from previous: Sort by