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

It is currently 01 Aug 2015, 14:51
GMAT Club 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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If xy does not equal 0, what is the value of ((x^2)^3 y^4)/x

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Current Student
User avatar
Status: Current MBA Student
Joined: 19 Nov 2009
Posts: 127
Concentration: Finance, General Management
GMAT 1: 720 Q49 V40
Followers: 11

Kudos [?]: 117 [0], given: 210

If xy does not equal 0, what is the value of ((x^2)^3 y^4)/x [#permalink] New post 19 Oct 2010, 11:15
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

68% (02:02) correct 32% (01:44) wrong based on 108 sessions
If xy does not equal 0, what is the value of ((x^2)^3 y^4)/x ?

(1) x^3y^5 = 6y/x^2

(2) x = 2y
[Reveal] Spoiler: OA
Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 28781
Followers: 4594

Kudos [?]: 47463 [1] , given: 7123

Re: Difficult Algebra DS Problem from Past GMAT ETS paper exam [#permalink] New post 19 Oct 2010, 11:23
1
This post received
KUDOS
Expert's post
tonebeeze wrote:
Hello all,

Can someone please walk me thru how they best simplified this. Thanks

If xy does not equal 0, what is the value of ((x^2)^3 y^4)/x ?

(1) x^3y^5 = 6y/x^2

(2) x = 2y


\(xy\neq{0}\) means that neither of unknowns equals to zero.

\(\frac{(x^2)^3*y^4}{x}=\frac{x^6*y^4}{x}=x^5*y^4=?\)

(1) \(x^3y^5=\frac{6y}{x^2}\) --> multiple by \(x^2\) --> \(x^5y^5=6y\) --> reduce by \(y\) --> \(x^5y^4=6\). Sufficient.

(2) \(x=2y\) --> \(x^5*y^4=(2y)^5*y^4=32y^9=?\) --> need to know the value of \(y\) (or \(x\)). Not sufficient.

Answer: A.

For more on exponents check Number Theory chapter of Math Book: math-number-theory-88376.html

Hope it helps.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. 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?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Current Student
User avatar
Status: Current MBA Student
Joined: 19 Nov 2009
Posts: 127
Concentration: Finance, General Management
GMAT 1: 720 Q49 V40
Followers: 11

Kudos [?]: 117 [0], given: 210

Re: Difficult Algebra DS Problem from Past GMAT ETS paper exam [#permalink] New post 19 Oct 2010, 13:29
Thanks Bunuel. I apologize for the bad formatting. Won't happen again!
SVP
SVP
User avatar
Joined: 06 Sep 2013
Posts: 2046
Concentration: Finance
GMAT 1: 770 Q0 V
Followers: 30

Kudos [?]: 323 [0], given: 355

GMAT ToolKit User
Re: Difficult Algebra DS Problem from Past GMAT ETS paper exam [#permalink] New post 15 Oct 2013, 09:06
tonebeeze wrote:
Thanks Bunuel. I apologize for the bad formatting. Won't happen again!


And just to emphasize that we can divide both sides by y ONLY BECAUSE we are explicitly told that x and y are both different from zero as Bunuel clearly explained above.
Cheers

J :)
Re: Difficult Algebra DS Problem from Past GMAT ETS paper exam   [#permalink] 15 Oct 2013, 09:06
    Similar topics Author Replies Last post
Similar
Topics:
3 Experts publish their posts in the topic If xy does not equal zero, what is the value of xy? Bunuel 2 05 Nov 2014, 07:22
6 Experts publish their posts in the topic If x and y are integers and xy does not equal 0, is xy < 0? Bunuel 3 15 Oct 2014, 15:49
If xy ≠ 0, what is the value of x aadikamagic 1 04 Oct 2014, 00:10
What is the value of x/y? 1)y=4x+3 2)2x=2y shinna 5 05 Nov 2011, 10:59
1 If xy does not equal zero, what is the value of xy? (1) TXTDryFly 2 14 May 2010, 15:08
Display posts from previous: Sort by

If xy does not equal 0, what is the value of ((x^2)^3 y^4)/x

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GMAT Club MBA Forum Home| About| Privacy Policy| 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®.