February 17, 2019 February 17, 2019 07:00 AM PST 09:00 AM PST Attend this Free Algebra Webinar and learn how to master Inequalities and Absolute Value problems on GMAT. February 18, 2019 February 18, 2019 10:00 PM PST 11:00 PM PST We don’t care what your relationship status this year  we love you just the way you are. AND we want you to crush the GMAT!
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52902

If x > 0, which of the following could be true?
[#permalink]
Show Tags
03 Dec 2014, 07:18
Question Stats:
69% (00:57) correct 31% (00:56) wrong based on 418 sessions
HideShow timer Statistics



Intern
Status: Amat Victoria Curam
Joined: 13 Sep 2014
Posts: 24
Location: India

Re: If x > 0, which of the following could be true?
[#permalink]
Show Tags
03 Dec 2014, 08:23
Aha! Could, must are deadly words in DS...
1. x^3 > x^2 Well this is true for all x > +1 (but not for values 0 < x < 1) 2. x^2 = x This is true for only one positive number, 1 3. x^2 > x^3 Again this is true only for values of x such that 0 < x < 1
So the answer is D, since there exists at least one value of x which satisfies the equation/ in equation(s)



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1821
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: If x > 0, which of the following could be true?
[#permalink]
Show Tags
03 Dec 2014, 19:13
Answer = D) All of the above I. \(x^3 > x^2\) For x = 2, \(2^3 > 2^2\) II. \(x^2 = x\) For x = 1, \(1^2 = 1\) III. \(x^2 > x^3\) For \(x = \frac{1}{2},\) \((\frac{1}{2})^2 > (\frac{1}{2})^3\) All conditions could satisfy Answer = D
_________________
Kindly press "+1 Kudos" to appreciate



Intern
Joined: 08 Jul 2012
Posts: 47

Re: If x > 0, which of the following could be true?
[#permalink]
Show Tags
03 Dec 2014, 20:22
Since, it is asked 'could be true' we can use any 1 case which satisfies the equation and consider it as true. x>0 I. x^3 > x^2 > 10^3>10^2  true II. x^2 = x > 1^2 = 1  true III. x^2 > x^3 > (1/2)^2>(1/2)^3  true Ans. D) All of the above
_________________
Our greatest weakness lies in giving up. The most certain way to succeed is always to try just one more time.  Thomas A. Edison



Math Expert
Joined: 02 Sep 2009
Posts: 52902

Re: If x > 0, which of the following could be true?
[#permalink]
Show Tags
04 Dec 2014, 06:13



Manager
Joined: 08 Nov 2014
Posts: 83
Location: India
GPA: 3
WE: Engineering (Manufacturing)

Re: If x > 0, which of the following could be true?
[#permalink]
Show Tags
24 Dec 2014, 11:28
For x>0; I. x^3 > x^2 .............. when x>1 II. x^2 = x ..................when x=1 III. x^2 > x^3.............. when x<1
_________________
"Arise, Awake and Stop not till the goal is reached"



Senior Manager
Joined: 18 Jan 2010
Posts: 251

Re: If x > 0, which of the following could be true?
[#permalink]
Show Tags
30 May 2016, 04:04
Bunuel wrote: Tough and Tricky questions: Must or Could be True Questions. If x > 0, which of the following could be true? I. x^3 > x^2 II. x^2 = x III. x^2 > x^3 A) I only B) I & II C) II & III D) All of the above E) None of the above Kudos for a correct solution.Source: Chili Hot GMAT I. x^3 > x^2 This statement is true for any x > 1. So C and E cannot be correct option. II. x^2 = x This statement is true for x = 1. So A cannot be correct option. III. x^2 > x^3 This is true for any x > 0 but < 1 say x = (1/2) So Correct Answer is D



Current Student
Joined: 04 Jan 2016
Posts: 166
Location: United States (NY)
GMAT 1: 620 Q44 V32 GMAT 2: 600 Q48 V25 GMAT 3: 660 Q42 V39
GPA: 3.48

Re: If x > 0, which of the following could be true?
[#permalink]
Show Tags
27 May 2017, 17:22
The world could be defines the entire logic of this question: Cases like this, one needs only one case to hold the question
Option one for any number bigger than one is true. Option two for number one, Variable X, is true and Option three for any number between 0 and 1 is true.
Should the world "could be" be "must be", instead, none would be true. Cases that ask for must be trough, on the other hand, one needs all examples to hold which makes its refuge very easy by bringing only example that doesn't hold.



Manager
Joined: 29 Jul 2018
Posts: 107
Concentration: Finance, Statistics

Re: If x > 0, which of the following could be true?
[#permalink]
Show Tags
30 Aug 2018, 12:28
solved by taking values x^3> x^2 take x = 2 x^3>x^2 x^2= x take x = 1 x^2> x^3 take x = 1/2




Re: If x > 0, which of the following could be true?
[#permalink]
30 Aug 2018, 12:28






