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

It is currently 09 Feb 2016, 10:05
GMAT Club Tests

Happening Now:

Wharton R2 Interview Invites  |  Join Chat Room for Live Updates


Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A positive number x is multiplied by 2, and this product is

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 02 Dec 2012
Posts: 178
Followers: 3

Kudos [?]: 1371 [0], given: 0

A positive number x is multiplied by 2, and this product is [#permalink] New post 20 Dec 2012, 05:04
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

78% (02:02) correct 22% (01:22) wrong based on 490 sessions
A positive number x is multiplied by 2, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?

(A) 9/4
(B) 3/2
(C) 4/3
(D) 2/3
(E) 1/2
[Reveal] Spoiler: OA
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 31288
Followers: 5351

Kudos [?]: 62261 [0], given: 9445

Re: A positive number x is multiplied by 2, and this product is [#permalink] New post 20 Dec 2012, 05:07
Expert's post
1
This post was
BOOKMARKED
Walkabout wrote:
A positive number x is multiplied by 2, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?

(A) 9/4
(B) 3/2
(C) 4/3
(D) 2/3
(E) 1/2


Given that: \(\sqrt{\frac{2x}{3}}=x\) --> \(\frac{2x}{3}=x^2\) --> \(x(3x-2)=0\) --> \(x=0\) (dscard since we are told that x is a positive number) or \(x=\frac{2}{3}\).

Answer: D.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Senior Manager
Senior Manager
avatar
Joined: 29 Oct 2013
Posts: 275
Concentration: Finance
Schools: Johnson
GMAT 1: 750 Q V
GPA: 3.7
WE: Corporate Finance (Retail Banking)
Followers: 12

Kudos [?]: 265 [0], given: 179

GMAT ToolKit User
Re: A positive number x is multiplied by 2, and this product is [#permalink] New post 22 May 2014, 12:50
Given Sqrt(2x/3)=x => 2x/3 = x^2
Since, x#0 we can divide both sides by x, so x=2/3
_________________

Please consider giving 'kudos' if you like my post and want to thank :)

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1854
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 31

Kudos [?]: 1356 [0], given: 193

Re: A positive number x is multiplied by 2, and this product is [#permalink] New post 16 Jul 2014, 23:25
Walkabout wrote:
A positive number x is multiplied by 2, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?

(A) 9/4
(B) 3/2
(C) 4/3
(D) 2/3
(E) 1/2



2 in the numerator; 3 in the denominator

Answer \(= \frac{2}{3}\) = D
_________________

Kindly press "+1 Kudos" to appreciate :)

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 8197
Followers: 416

Kudos [?]: 111 [0], given: 0

Top 10 in overall
Re: A positive number x is multiplied by 2, and this product is [#permalink] New post 08 Aug 2015, 07:52
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: A positive number x is multiplied by 2, and this product is   [#permalink] 08 Aug 2015, 07:52
    Similar topics Author Replies Last post
Similar
Topics:
2 If x is a positive integer greater than 2, the product of x consecutiv reto 0 25 Jun 2015, 09:32
8 Experts publish their posts in the topic The product of 2 positive integers is 720. If one of the numbers is in desaichinmay22 5 04 Dec 2014, 03:05
7 Experts publish their posts in the topic All factors of a positive integer A are multiplied and the product aadikamagic 5 03 Oct 2014, 10:28
A positive number x is multiplied by 2 and this product is then divide Lolaergasheva 0 28 Sep 2015, 00:38
8 Experts publish their posts in the topic A positive number x is multiplied by 2, and this product is then divid droopy57 13 13 Aug 2008, 20:33
Display posts from previous: Sort by

A positive number x is multiplied by 2, and this product is

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.