NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 08:58 It is currently 24 Apr 2024, 08:58
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

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

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
tonebeeze
Manager
Manager
Joined: 19 Nov 2009
Status:Current MBA Student
Posts: 79
Own Kudos [?]: 2782 [25]
Given Kudos: 210
Concentration: Finance, General Management
Schools: Tuck '15 (A) CBS '15 (A) Wharton '15 (M) Booth '15 (A) Haas '15 (A) Stanford '15 (D)
GMAT 1: 720 Q49 V40
Send PM
If xy does not equal 0, what is the value of ((x^2)^3 y^4)/x [#permalink] New post   Updated on: 05 Mar 2016, 19:43
4
Kudos
21
Bookmarks
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

79% (01:25) correct 21% (02:07) wrong based on 874 sessions
Hide Show timer Statistics
If \(xy \neq 0\), what is the value of \(\frac{((x^2)^3 y^4)}{x}\)?

(1) \(x^3y^5 = \frac{6y}{x^2}\)

(2) \(x = 2y\)
ShowHide Answer
Official Answer
A

Originally posted by tonebeeze on 19 Oct 2010, 12:15.
Last edited by ENGRTOMBA2018 on 05 Mar 2016, 19:43, edited 1 time in total.
Reformatted the question
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92902
Own Kudos [?]: 618763 [4]
Given Kudos: 81587
Send PM
CAT Tests Forum Quiz Mode
Re: If xy does not equal 0, what is the value of ((x^2)^3 y^4)/x [#permalink] New post   19 Oct 2010, 12:23
2
Kudos
2
Bookmarks
Expert Reply
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.
User avatar
tonebeeze
Manager
Manager
Joined: 19 Nov 2009
Status:Current MBA Student
Posts: 79
Own Kudos [?]: 2782 [0]
Given Kudos: 210
Concentration: Finance, General Management
Schools: Tuck '15 (A) CBS '15 (A) Wharton '15 (M) Booth '15 (A) Haas '15 (A) Stanford '15 (D)
GMAT 1: 720 Q49 V40
Send PM
Re: If xy does not equal 0, what is the value of ((x^2)^3 y^4)/x [#permalink] New post   19 Oct 2010, 14:29
Thanks Bunuel. I apologize for the bad formatting. Won't happen again!
User avatar
jlgdr
VP
VP
Joined: 06 Sep 2013
Posts: 1345
Own Kudos [?]: 2391 [0]
Given Kudos: 355
Concentration: Finance
Schools: Wharton '17 (A) HBS '17 (WA$)
Send PM
GMAT ToolKit User
Re: If xy does not equal 0, what is the value of ((x^2)^3 y^4)/x [#permalink] New post   15 Oct 2013, 10:06
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 :)
avatar
B
Dienekes
Manager
Manager
Joined: 13 Feb 2011
Posts: 64
Own Kudos [?]: 183 [0]
Given Kudos: 3386
Send PM
GMAT ToolKit User
Re: If xy does not equal 0, what is the value of ((x^2)^3 y^4)/x [#permalink] New post   05 Mar 2016, 19:38
Bunuel - Can you please add the math formula formatting tag to the OP. For the first minute, I was solving for y as a power of x. :l
Thanks!
User avatar
D
stonecold
Alum
Joined: 12 Aug 2015
Posts: 2282
Own Kudos [?]: 3127 [0]
Given Kudos: 893
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Send PM
GMAT ToolKit User
Re: If xy does not equal 0, what is the value of ((x^2)^3 y^4)/x [#permalink] New post   08 Mar 2016, 21:36
jlgdr wrote:
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 :)



You are absolutely right...
if xy≠0 wasn't mentioned then A would be insufficient as y can be zero too.
and hence E would have been the answer..
Thanks
User avatar
B
law258
Senior Manager
Senior Manager
Joined: 05 Sep 2016
Status:DONE!
Posts: 274
Own Kudos [?]: 101 [0]
Given Kudos: 283
Send PM
Re: If xy does not equal 0, what is the value of ((x^2)^3 y^4)/x [#permalink] New post   18 Sep 2016, 09:53
A is correct. Here's why:

Manipulate orig eq to the following --> (x^5)(y^4) = ?

(1) (x^3)(y^5) = 6y
= (x^5)(y^4) = 6

SUFFICIENT

(2) x = 2y --> plug into orig eq
=(2y)^5[(y^4)] = 32(y^9)

NOT SUFFICIENT
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32648
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: If xy does not equal 0, what is the value of ((x^2)^3 y^4)/x [#permalink] New post   27 Apr 2023, 23:17
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 Club Bot
gmatclubot
Re: If xy does not equal 0, what is the value of ((x^2)^3 y^4)/x [#permalink]
27 Apr 2023, 23:17
Moderator:
Bunuel
Math Expert
92902 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions