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

 It is currently 19 Jul 2018, 01:07

### 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

# If x is positive, which of the following could be the correct ordering

Author Message
Manager
Status: Math Tutor
Joined: 12 Aug 2017
Posts: 74
GMAT 1: 750 Q50 V42
WE: Education (Education)
If x is positive, which of the following could be the correct ordering [#permalink]

### Show Tags

12 Sep 2017, 01:48
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 4 sessions

### HideShow timer Statistics

If x is positive, which of the following could be the correct ordering of $$\frac{1}{x}, x^{2}, 2x$$

I. $$x^{2}<2x<\frac{1}{x}$$
II. $$x^{2}<\frac{1}{x}<2x$$
III. $$2x<x^{2}<\frac{1}{x}$$

A. None
B. I only
C. III only
D. I and II only
E. I, II and III

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________

Abhishek Parikh
Math Tutor
Whatsapp- +919983944321
Mobile- +971568653827
Website: http://www.holamaven.com

Manager
Status: Math Tutor
Joined: 12 Aug 2017
Posts: 74
GMAT 1: 750 Q50 V42
WE: Education (Education)
Re: If x is positive, which of the following could be the correct ordering [#permalink]

### Show Tags

12 Sep 2017, 02:01
When dealing with all types of real numbers, be cautious of range -1<x<1.
In this case taking x = 3
$$x^{2}$$ = 9
$$\frac{1}{x}$$ = 0.33
$$2x$$ = 6
Thus option A and option C can be eliminated.
Taking x = 0.9
$$x^{2}$$ = 0.81
$$\frac{1}{x}= \frac{10}{9}$$ = 1.11
$$2x$$ = 1.8
Thus option B can be eliminated
Now any other value can not form III true, as squaring any value can be more than 2x only if x >1 (in this case x is positive given) and is x >1 then $$\frac{1}{x}$$ can not be greater than x
Thus option E is eliminated
Thus option D is the answer
_________________

Abhishek Parikh
Math Tutor
Whatsapp- +919983944321
Mobile- +971568653827
Website: http://www.holamaven.com

Math Expert
Joined: 02 Sep 2009
Posts: 47101
Re: If x is positive, which of the following could be the correct ordering [#permalink]

### Show Tags

12 Sep 2017, 02:02
HolaMaven wrote:
If x is positive, which of the following could be the correct ordering of $$\frac{1}{x}, x^{2}, 2x$$

I. $$x^{2}<2x<\frac{1}{x}$$
II. $$x^{2}<\frac{1}{x}<2x$$
III. $$2x<x^{2}<\frac{1}{x}$$

A. None
B. I only
C. III only
D. I and II only
E. I, II and III

Discussed here: if-x-is-positive-which-of-the-following-could-be-correct-ordering-of-71070.html Please search before posting. Thank you.

Topic is locked and archived.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Re: If x is positive, which of the following could be the correct ordering   [#permalink] 12 Sep 2017, 02:02
Display posts from previous: Sort by

# If x is positive, which of the following could be the correct ordering

Moderators: chetan2u, KarishmaB, Bunuel, niks18

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne 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®.