Apr 24 08:00 AM PDT  09:00 AM PDT Join the Live Chat April 24th at 8 am PT. Learn the best strategies for acing the Verbal section. From Sentence Correction tactics to 3 keys for solving Reading Comprehension questions and tips for Critical Reasoning questions. Apr 24 08:00 PM EDT  09:00 PM EDT Maximize Your Potential: 5 Steps to Getting Your Dream MBA Part 3 of 5: Key TestTaking Strategies for GMAT. Wednesday, April 24th at 8 pm ET Apr 25 10:00 PM PDT  11:00 PM PDT Join an exclusive workshop for GMAT Club members and learn how to cut your preparation time by 50% and still reach a 700+ on the GMAT. Limited for the first 99 registrants. Register today! Apr 27 07:00 AM PDT  09:00 AM PDT Attend this webinar and master GMAT SC in 10 days by learning how meaning and logic can help you tackle 700+ level SC questions with ease. Apr 28 07:00 AM PDT  09:00 AM PDT Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes. Apr 29 08:00 AM PDT  09:00 AM PDT Join a free live webinar and learn timemanagement tactics that will guarantee you answer all questions, in all sections, on time. Save your spot today! May 01 10:00 PM PDT  11:00 PM PDT Target Test Prep is kicking off spring with a fresh giveaway contest! For a limited time, you have a chance to win 4 months of full, FREE access to our 5star rated GMAT Quant course.
Author 
Message 
TAGS:

Hide Tags

Director
Joined: 25 Oct 2008
Posts: 503
Location: Kolkata,India

Is x^n/x^(n+1) > x^(n+1)/x^n?
[#permalink]
Show Tags
Updated on: 19 Apr 2017, 11:54
Question Stats:
56% (02:02) correct 44% (02:08) wrong based on 233 sessions
HideShow timer Statistics
Is \(\frac{x^n}{x^{n+1}}>\frac{x^{n+1}}{x^n}\)? (1) x < 0 (2) n < 0
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
http://gmatclub.com/forum/countdownbeginshasended8548340.html#p649902
Originally posted by tejal777 on 27 Sep 2009, 22:29.
Last edited by Bunuel on 19 Apr 2017, 11:54, edited 2 times in total.
Edited the question




Math Expert
Joined: 02 Sep 2009
Posts: 54493

Re: Is x^n/x^(n+1) > x^(n+1)/x^n?
[#permalink]
Show Tags
26 Jan 2012, 11:31
Ranges in above solutions are not correct. Is \(\frac{x^n}{x^{n+1}}>\frac{x^{n+1}}{x^n}\)?First of all realistic GMAT question would mention that \(x\neq{0}\). Anyway: is \(\frac{x^n}{x^{n+1}}>\frac{x^{n+1}}{x^n}\)? > is \(x^{nn1}>x^{n+1n}\)? > is \(\frac{1}{x}>x\)? > is \(\frac{1}{x}x>0\)? > is \(\frac{1x^2}{x}>0\)? > is \(\frac{(1x)(1+x)}{x}>0\)? So the question basically asks is \(x<1\) or \(0<x<1\). (For more on this check: ihavebeentryingtounderstandinequalitiesbyreading110917.html or rangeforvariablexinagiveninequality109468.html) Also noitce that the value of n is irrelevant to answer the question. (1) x < 0. Not sufficient. (2) n < 0. Not sufficient. (1)+(2) Still can not answer the question. Not sufficient. Answer: E.
_________________




Director
Joined: 01 Apr 2008
Posts: 752
Name: Ronak Amin
Schools: IIM Lucknow (IPMX)  Class of 2014

Re: Is x^n/x^(n+1) > x^(n+1)/x^n?
[#permalink]
Show Tags
28 Sep 2009, 00:38
The expression can be rephrased as : Is 1/x > x ? stmt 1. The expression is true for x < 0 except x=1. But there is no restriction on x. So insuff. stmt 2. Value of n does not matter.
combining , still the same question, can x be 1 ( and also be < 0 )? Hence E.



Senior Manager
Joined: 12 Oct 2008
Posts: 429

Re: Is x^n/x^(n+1) > x^(n+1)/x^n?
[#permalink]
Show Tags
01 Oct 2009, 04:25
can you please explain it in detail? Economist wrote: The expression can be rephrased as : Is 1/x > x ? stmt 1. The expression is true for x < 0 except x=1. But there is no restriction on x. So insuff. stmt 2. Value of n does not matter.
combining , still the same question, can x be 1 ( and also be < 0 )? Hence E.



Director
Joined: 01 Apr 2008
Posts: 752
Name: Ronak Amin
Schools: IIM Lucknow (IPMX)  Class of 2014

Re: Is x^n/x^(n+1) > x^(n+1)/x^n?
[#permalink]
Show Tags
01 Oct 2009, 06:28
x^(n+1) = x^n.x Now, while reducing the given inequality we need to take care of the inequality sign. ONLY if a ve value is multiplied/divided on BOTH sides of the equation we need to reverse the inequality. But, in this case we are not multiplying or dividing each side. We are just canceling out the same factor(ve or +ve) from each side. So the inequality will remain the same. In other words, x^n/x^n = 1, regardless of the sign of x^n. So, basically we are just multiplying each side by 1



Manager
Joined: 05 Jul 2009
Posts: 152

Re: Is x^n/x^(n+1) > x^(n+1)/x^n?
[#permalink]
Show Tags
23 Oct 2009, 16:26
Economist wrote: The expression can be rephrased as : Is 1/x > x ? stmt 1. The expression is true for x < 0 except x=1. But there is no restriction on x. So insuff. stmt 2. Value of n does not matter.
combining , still the same question, can x be 1 ( and also be < 0 )? Hence E. Is it only for x= 1 or for the range 1<x<0?



Retired Moderator
Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
Joined: 04 Oct 2009
Posts: 1099
Location: Peru
Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)
WE 1: Economic research
WE 2: Banking
WE 3: Government: Foreign Trade and SMEs

Re: Is x^n/x^(n+1) > x^(n+1)/x^n?
[#permalink]
Show Tags
26 Jan 2012, 07:17
+1 E When we simplify the original inequality, using exponents theory, we get 1/x > x. So both statements are insufficient.
_________________
"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can."My Integrated Reasoning Logbook / Diary: http://gmatclub.com/forum/myirlogbookdiary133264.html GMAT Club Premium Membership  big benefits and savings



Manager
Joined: 31 Mar 2013
Posts: 63
Location: India
GPA: 3.02

Re: Is x^n/x^(n+1) > x^(n+1)/x^n?
[#permalink]
Show Tags
14 Sep 2013, 04:24
Bunuel wrote: Ranges in above solutions are not correct. Is \(\frac{x^n}{x^{n+1}}>\frac{x^{n+1}}{x^n}\)?First of all realistic GMAT question would mention that \(x\neq{0}\). Anyway: is \(\frac{x^n}{x^{n+1}}>\frac{x^{n+1}}{x^n}\)? > is \(x^{nn1}<x^{n+1n}\)? > is \(\frac{1}{x}<x\)? > is \(x\frac{1}{x}>0\)? > is \(\frac{x^21}{x}>0\)? > is \(\frac{(x1)(x+1)}{x}>0\)? So the question basically asks is \(1<x<0\) or \(x>1\). (For more on this check: ihavebeentryingtounderstandinequalitiesbyreading110917.html or rangeforvariablexinagiveninequality109468.html) Also noitce that the value of n is irrelevant to answer the question. (1) x < 0. Not sufficient. (2) n < 0. Not sufficient. (1)+(2) Still can not answer the question. Not sufficient. Answer: E. Why have we flipped the inequality sign here? \(\frac{x^n}{x^{n+1}}>\frac{x^{n+1}}{x^n}\)? > is \(x^{nn1}<x^{n+1n}\)?



Math Expert
Joined: 02 Sep 2009
Posts: 54493

Re: Is x^n/x^(n+1) > x^(n+1)/x^n?
[#permalink]
Show Tags
15 Sep 2013, 09:28
emailmkarthik wrote: Bunuel wrote: Ranges in above solutions are not correct. Is \(\frac{x^n}{x^{n+1}}>\frac{x^{n+1}}{x^n}\)?First of all realistic GMAT question would mention that \(x\neq{0}\). Anyway: is \(\frac{x^n}{x^{n+1}}>\frac{x^{n+1}}{x^n}\)? > is \(x^{nn1}<x^{n+1n}\)? > is \(\frac{1}{x}<x\)? > is \(x\frac{1}{x}>0\)? > is \(\frac{x^21}{x}>0\)? > is \(\frac{(x1)(x+1)}{x}>0\)? So the question basically asks is \(1<x<0\) or \(x>1\). (For more on this check: ihavebeentryingtounderstandinequalitiesbyreading110917.html or rangeforvariablexinagiveninequality109468.html) Also noitce that the value of n is irrelevant to answer the question. (1) x < 0. Not sufficient. (2) n < 0. Not sufficient. (1)+(2) Still can not answer the question. Not sufficient. Answer: E. Why have we flipped the inequality sign here? \(\frac{x^n}{x^{n+1}}>\frac{x^{n+1}}{x^n}\)? > is \(x^{nn1}<x^{n+1n}\)? It was a typo edited. Thank you. +1.
_________________



SVP
Joined: 06 Sep 2013
Posts: 1661
Concentration: Finance

Re: Is x^n/x^(n+1) > x^(n+1)/x^n?
[#permalink]
Show Tags
01 Jan 2014, 12:41
tejal777 wrote: Is x^n/x^(n+1)>x^(n+1)/x^n?
(1) x < 0
(2) n < 0 The correct answer is E From question stem we can simplify and get is 1/x > x? 1/x  x > 0 > Using key points is x<1 or 0<x<1? Statement 1 x<0 not sufficient Statement 2 I don't care about 'n' at this point Statements 1 and 2 together I still don't have enough info Hence E Hope it helps Cheers! J



Director
Joined: 25 Apr 2012
Posts: 676
Location: India
GPA: 3.21
WE: Business Development (Other)

Re: Is x^n/x^(n+1) > x^(n+1)/x^n?
[#permalink]
Show Tags
03 Jan 2014, 03:57
tejal777 wrote: Is x^n/x^(n+1)>x^(n+1)/x^n?
(1) x < 0
(2) n < 0 Sol: Given question can be rephrased as is 1/x>x > (1x^2)/x>0 Given x<0, let x=2 then the above equation holds true but if x= 1/2 then the equation doesn't hold true (11/4)/1/2 >3/4/1/2>6/4 or 3/2 which is less than 0 Ans Statement A is not sufficient A and D ruled out St2: given n<0 > There is no use for it. Hence B ruled out With both statements we still don't have anything new. Hence Ans E
_________________
“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7245
GPA: 3.82

Re: Is x^n/x^(n+1) > x^(n+1)/x^n?
[#permalink]
Show Tags
04 Sep 2015, 04:49
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and equations ensures a solution. Is x^n/x^(n+1)>x^(n+1)/x^n? (1) x < 0 (2) n < 0 ==>transforming the original condition and the question by variable approach method, we have x^n/x^(n+1)>x^(n+1)/x^n? > 1/x>x?. multiplying x^2 to both sides (since multiplying square values maintain the direction of the inequality sign), x>x^3? , x^3x>0?, x(x1)(x+1)>0? gives us 1<x<0 or 1<x?. Using both 1) and 2), the range of que doesn't include the range of con. Therefore E is the answer.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spareThe oneandonly World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only $149 for 3 month Online Course""Free Resources30 day online access & Diagnostic Test""Unlimited Access to over 120 free video lessons  try it yourself"



Manager
Joined: 01 Jun 2015
Posts: 212
Location: India
Concentration: Strategy, International Business

Re: Is x^n/x^(n+1) > x^(n+1)/x^n?
[#permalink]
Show Tags
29 Mar 2017, 03:23
Is /frac{x^n}{x^n+1} > /frac{x^n+1}{x^n}
1) x<0 2) n<0



Math Expert
Joined: 02 Sep 2009
Posts: 54493

Re: Is x^n/x^(n+1) > x^(n+1)/x^n?
[#permalink]
Show Tags
29 Mar 2017, 03:37
techiesam wrote: Is /frac{x^n}{x^n+1} > /frac{x^n+1}{x^n}
1) x<0 2) n<0 Merging topics. Please follow the rules when posting a question: https://gmatclub.com/forum/rulesforpo ... 33935.html Pay attention to rule 3. Also, you might find Writing Mathematical Formulas on the Forum post helpful: https://gmatclub.com/forum/rulesforpo ... l#p1096628
_________________



Intern
Joined: 19 Mar 2015
Posts: 16
Location: India

Re: Is x^n/x^(n+1) > x^(n+1)/x^n?
[#permalink]
Show Tags
21 Apr 2017, 03:44
Is x^n/x^(n+1) > x^(n+1)/x^n?
(1) x < 0
(2) n < 0
x^n/x^(n+1) > x^(n+1)/x^n ==> x^2n > x^2(n+1) ie X^2 < 1 , therefor the range of X is(1, 1)
So statement 1 & 2 are not enough to get the sollution so Ans> E



Director
Affiliations: IIT Dhanbad
Joined: 13 Mar 2017
Posts: 723
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)

Re: Is x^n/x^(n+1) > x^(n+1)/x^n?
[#permalink]
Show Tags
22 Aug 2017, 06:39
tejal777 wrote: Is \(\frac{x^n}{x^{n+1}}>\frac{x^{n+1}}{x^n}\)?
(1) x < 0
(2) n < 0 DS: \(\frac{x^n}{x^{n+1}}>\frac{x^{n+1}}{x^n}\) \(\frac{1}{x}>\frac{x[}{fraction]\) Statement 1 : x<0 1<x<0, \([fraction]1/x}>\frac{x[}{fraction]\) x = 1, \([fraction]1/x}=\frac{x[}{fraction]\) x<1, \([fraction]1/x}<[fraction]x[/fraction]\) NOT SUFFICIENTStatement 2: n<0 has no significance NOT SUFFICIENTAnswer E
_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler UPSC Aspirants : Get my app UPSC Important News Reader from Play store. MBA Social Network : WebMaggu
Appreciate by Clicking +1 Kudos ( Lets be more generous friends.) What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".



NonHuman User
Joined: 09 Sep 2013
Posts: 10619

Re: Is x^n/x^(n+1) > x^(n+1)/x^n?
[#permalink]
Show Tags
21 Apr 2019, 06:23
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^n/x^(n+1) > x^(n+1)/x^n?
[#permalink]
21 Apr 2019, 06:23






