GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 23 Feb 2019, 02:58

### 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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT RC Webinar

February 23, 2019

February 23, 2019

07:00 AM PST

09:00 AM PST

Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT
• ### FREE Quant Workshop by e-GMAT!

February 24, 2019

February 24, 2019

07:00 AM PST

09:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.

# If -1<x<0, Which of the following is listed in ascending order?

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6985
GMAT 1: 760 Q51 V42
GPA: 3.82
If -1<x<0, Which of the following is listed in ascending order?  [#permalink]

### Show Tags

19 Oct 2018, 00:06
00:00

Difficulty:

45% (medium)

Question Stats:

64% (01:34) correct 36% (01:44) wrong based on 66 sessions

### HideShow timer Statistics

[Math Revolution GMAT math practice question]

If $$-1<x<0$$, Which of the following is listed in ascending order?

$$A. x^{-1}, x, x^2, 1, x^{-2}$$
$$B. x^{-1}, x^2, x, 1, x^{-2}$$
$$C. x^{-2}, x, x^2, 1, x^{-1}$$
$$D. x, x^{-1}, x^2, 1, x^{-2}$$
$$E. x^{-1}, x, x^2, x^{-2}, 1$$

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only 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 Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Director Joined: 18 Jul 2018 Posts: 679 Location: India Concentration: Finance, Marketing WE: Engineering (Energy and Utilities) If -1<x<0, Which of the following is listed in ascending order? [#permalink] ### Show Tags 19 Oct 2018, 00:14 Lets's consider x as $$\frac{-1}{2}$$ And start by substituting the value of x in the options. $$x^{-1}$$ = $$(\frac{-1}{2})^{-1}$$ or $$(\frac{-2}{1})^1$$ = -2. x = -0.5 $$x^2$$ = 1/4 = 0.25 $$x^{-2}$$ = 4. Only option a is in ascending order. A is the answer. _________________ Press +1 Kudo If my post helps! Math Expert Joined: 02 Aug 2009 Posts: 7335 Re: If -1<x<0, Which of the following is listed in ascending order? [#permalink] ### Show Tags 19 Oct 2018, 00:53 MathRevolution wrote: [Math Revolution GMAT math practice question] If $$-1<x<0$$, Which of the following is listed in ascending order? $$A. x^{-1}, x, x^2, 1, x^{-2}$$ $$B. x^{-1}, x^2, x, 1, x^{-2}$$ $$C. x^{-2}, x, x^2, 1, x^{-1}$$ $$D. x, x^{-1}, x^2, 1, x^{-2}$$ $$E. x^{-1}, x, x^2, x^{-2}, 1$$ Let's compare $$x^2$$ and $$x^{-2}$$ as both are going to be positive... But |X|<1, so x^2<1.... .. As x^2 is positive, divide both sides by x^2, so $$\frac{x^2}{x^2}$$<$$\frac{1}{x^2}$$........$$\frac{1}{x^2>1}$$........$$x^{-2}>1$$ So $$x^2,1,x^{-2}$$ , x is negative and reciprocal of x.......$$x^{-1}<x$$ A _________________ 1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html 4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html GMAT Expert Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6985 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: If -1<x<0, Which of the following is listed in ascending order? [#permalink] ### Show Tags 21 Oct 2018, 17:57 => We can find the correct order by plugging in a value for $$x$$. Suppose $$x =\frac{-1}{2.}$$ Then $$-1 < x < 0,$$ and $$x^2 = \frac{1}{4}$$, $$x^{-1} = -2$$ and $$x^{-2} = 4.$$ Thus, $$x^{-1} < x < x^2 < 1 < x^{-2}$$ Therefore, the answer is A. Answer: A _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only 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 Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Re: If -1<x<0, Which of the following is listed in ascending order?   [#permalink] 21 Oct 2018, 17:57
Display posts from previous: Sort by