It is currently 14 Dec 2018, 12:52
My Tests

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.

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

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
2 KUDOS received
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [2] , given: 396

CAT Tests
If xy^2 = 12 and xy = 4, then x = [#permalink] New post 20 May 2016, 17:35
2
This post received
KUDOS
Expert's post
00:00

Question Stats:

80% (01:01) correct 20% (01:03) wrong based on 10 sessions
If \(xy^2 = 12\) and \(xy = 4\), then x =

A. 1
B. 2
C. \(\sqrt{3}\)
D. \(\frac{2}{3}\)
E. \(\frac{4}{3}\)

Practice Questions
Question: 8
Page: 82
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

1 KUDOS received
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [1] , given: 396

CAT Tests
Re: If xy^2 = 12 and xy = 4, then x = [#permalink] New post 20 May 2016, 17:37
1
This post received
KUDOS
Expert's post
Explanation

From the given equations \(xy^2 = 12\) and \(xy= 4\), it follows that \(12 = xy^2 = (xy)y= 4y\), and so y = 3. Substituting y = 3 in the equation xy = 4 gives 3x = 4, or Thus the correct answer is Choice E.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

1 KUDOS received
Intern
Intern
Joined: 17 Mar 2017
Posts: 2
Followers: 0

Kudos [?]: 2 [1] , given: 0

Re: If xy^2 = 12 and xy = 4, then x = [#permalink] New post 17 Mar 2017, 10:18
1
This post received
KUDOS
sandy wrote:
Explanation

From the given equations \(xy^2 = 12\) and \(xy= 4\), it follows that \(12 = xy^2 = (xy)y= 4y\), and so y = 3. Substituting y = 3 in the equation xy = 4 gives 3x = 4, or Thus the correct answer is Choice E.


I dont understand why: \(12 = xy^2 = (xy)y= 4y\),

Someone that can clarify this?
1 KUDOS received
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [1] , given: 396

CAT Tests
Re: If xy^2 = 12 and xy = 4, then x = [#permalink] New post 17 Mar 2017, 13:09
1
This post received
KUDOS
Expert's post
Hey

it is given that \(xy = 4\)

Now \(12 = xy^2\) can be rewritten as \(12 = (xy) \times y\)


Put value of xy from the first equation

\(12 = 4 \times y\) or \(y = 3\)
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

1 KUDOS received
Intern
Intern
Joined: 17 Mar 2017
Posts: 2
Followers: 0

Kudos [?]: 2 [1] , given: 0

Re: If xy^2 = 12 and xy = 4, then x = [#permalink] New post 18 Mar 2017, 02:25
1
This post received
KUDOS
Thank you Sandy, this helps a lot!
Intern
Intern
Joined: 12 Jul 2017
Posts: 9
Followers: 0

Kudos [?]: 4 [0], given: 2

Re: If xy^2 = 12 and xy = 4, then x = [#permalink] New post 22 Jul 2017, 14:29
Great!
Re: If xy^2 = 12 and xy = 4, then x =   [#permalink] 22 Jul 2017, 14:29
Display posts from previous: Sort by

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

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.