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

It is currently 11 Dec 2018, 20:04

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free GMAT Prep Hour

     December 11, 2018

     December 11, 2018

     09:00 PM EST

     10:00 PM EST

    Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.
  • The winning strategy for 700+ on the GMAT

     December 13, 2018

     December 13, 2018

     08:00 AM PST

     09:00 AM PST

    What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

If xy^2 = 12 and xy = 4, then x =

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51100
If xy^2 = 12 and xy = 4, then x =  [#permalink]

Show Tags

New post 01 May 2018, 04:23
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

85% (00:58) correct 15% (01:53) wrong based on 66 sessions

HideShow timer Statistics

Manager
Manager
User avatar
B
Joined: 05 Dec 2017
Posts: 52
Location: India
Concentration: Finance, International Business
WE: Analyst (Commercial Banking)
GMAT ToolKit User
Re: If xy^2 = 12 and xy = 4, then x =  [#permalink]

Show Tags

New post 01 May 2018, 04:46
Bunuel wrote:
If \(xy^2 = 12\) and \(xy = 4\), then x =


A. 1

B. 2

C. \(\sqrt{3}\)

D. \(\frac{2}{3}\)

E. \(\frac{4}{3}\)


\(xy^2 = 12\) and \(xy = 4\)
now replace \(xy = 4\) in \(y*xy\) = 12
y = 3
Replacing y in \(xy\)= 12

X = \(\frac{4}{3}\)

Option E
VP
VP
User avatar
V
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1339
Location: India
Concentration: International Business, Operations
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Consulting)
Premium Member Reviews Badge CAT Tests
Re: If xy^2 = 12 and xy = 4, then x =  [#permalink]

Show Tags

New post 01 May 2018, 04:51
Bunuel wrote:
If \(xy^2 = 12\) and \(xy = 4\), then x =


A. 1

B. 2

C. \(\sqrt{3}\)

D. \(\frac{2}{3}\)

E. \(\frac{4}{3}\)



Given : \(xy^2 = 12\) or \(xy*y = 12\) -----(I)

&

\(xy = 4\)-----(II)

Using I and II

\(4y = 12\)

\(y = 3\)

Therefore , \(x (3)^2 = 12\)

\(x = \frac{12}{9}\)

\(x = \frac{4}{3}\)

(E)
_________________

"Do not watch clock; Do what it does. KEEP GOING."

Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2204
Premium Member CAT Tests
If xy^2 = 12 and xy = 4, then x =  [#permalink]

Show Tags

New post 02 May 2018, 07:13
Bunuel wrote:
If \(xy^2 = 12\) and \(xy = 4\), then x =


A. 1

B. 2

C. \(\sqrt{3}\)

D. \(\frac{2}{3}\)

E. \(\frac{4}{3}\)

\(xy^2 = 12\) and \(xy=4\)

\(x*y*y = 12\), i.e., \((x*y)*y=12\)
\(4*y=12\)
\(y=3\)

\(x=?\)
\(xy=4\), and \(y=3\)
\(x*3=4\)
\(x =\frac{4}{3}\)

Answer E
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: If xy^2 = 12 and xy = 4, then x =  [#permalink]

Show Tags

New post 02 May 2018, 09:27
Bunuel wrote:
If \(xy^2 = 12\) and \(xy = 4\), then x =


A. 1

B. 2

C. \(\sqrt{3}\)

D. \(\frac{2}{3}\)

E. \(\frac{4}{3}\)


Let’s first establish that both x and y must be positive. Since xy^2 = 12, we see that x must be positive. And since xy = 4, we see that y must also be positive.

Dividing the first equation by the second, we have:

y = 3

Substituting y = 3 into the second equation, we have:

x(3) = 4

x = 4/3

Alternate Solution:

Let’s rewrite the first equation as:

x(xy) = 12

We are given that xy = 9, so we can substitute:

x(9) = 12

x = 12/9 = 4/3

Answer: E
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Intern
Intern
User avatar
B
Joined: 29 Oct 2017
Posts: 5
Location: Russian Federation
Concentration: International Business, Operations
GPA: 3.43
WE: Supply Chain Management (Manufacturing)
Re: If xy^2 = 12 and xy = 4, then x =  [#permalink]

Show Tags

New post 20 Aug 2018, 02:04
Bunuel wrote:
If \(xy^2 = 12\) and \(xy = 4\), then x =


A. 1

B. 2

C. \(\sqrt{3}\)

D. \(\frac{2}{3}\)

E. \(\frac{4}{3}\)



1.divide:
\(xy^2 = 12\)
/\(xy = 4\)
y=3
2. substitute:
x=4/3 => E
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4273
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member CAT Tests
Re: If xy^2 = 12 and xy = 4, then x =  [#permalink]

Show Tags

New post 20 Aug 2018, 05:55
Bunuel wrote:
If \(xy^2 = 12\) and \(xy = 4\), then x =


A. 1

B. 2

C. \(\sqrt{3}\)

D. \(\frac{2}{3}\)

E. \(\frac{4}{3}\)


\(y = \frac{xy^2}{xy}\)

So, \(y = \frac{12}{4}\)

Or, \(y = 3\)

We know that \(xy^2 = 12\)

Or, \(9x = 12\)

Or, \(x = \frac{4}{3}\), Hence Answer must be (E)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Manager
Manager
User avatar
S
Joined: 20 Jul 2018
Posts: 89
GPA: 2.87
Re: If xy^2 = 12 and xy = 4, then x =  [#permalink]

Show Tags

New post 20 Aug 2018, 08:10
\(xy^2 = 12\)
\(xy*y = 12\)
\(4y = 12\)
\(y=3\)
so
\(3x=4\)
\(x=\frac{4}{3}\)
_________________

Hasnain Afzal

"When you wanna succeed as bad as you wanna breathe, then you will be successful." -Eric Thomas

GMAT Club Bot
Re: If xy^2 = 12 and xy = 4, then x = &nbs [#permalink] 20 Aug 2018, 08:10
Display posts from previous: Sort by

If xy^2 = 12 and xy = 4, then x =

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

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

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®.