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

 It is currently 01 Dec 2015, 04:59

### 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

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

# 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

Author Message
TAGS:
Current Student
Status: Current MBA Student
Joined: 19 Nov 2009
Posts: 126
Concentration: Finance, General Management
GMAT 1: 720 Q49 V40
Followers: 11

Kudos [?]: 159 [0], given: 210

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

Difficulty:

25% (medium)

Question Stats:

66% (02:01) correct 34% (01:37) wrong based on 117 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
Math Expert
Joined: 02 Sep 2009
Posts: 30434
Followers: 5099

Kudos [?]: 57578 [1] , given: 8819

Re: Difficult Algebra DS Problem from Past GMAT ETS paper exam [#permalink]  19 Oct 2010, 11:23
1
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.

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

Hope it helps.
_________________
Current Student
Status: Current MBA Student
Joined: 19 Nov 2009
Posts: 126
Concentration: Finance, General Management
GMAT 1: 720 Q49 V40
Followers: 11

Kudos [?]: 159 [0], given: 210

Re: Difficult Algebra DS Problem from Past GMAT ETS paper exam [#permalink]  19 Oct 2010, 13:29
Thanks Bunuel. I apologize for the bad formatting. Won't happen again!
SVP
Joined: 06 Sep 2013
Posts: 2036
Concentration: Finance
GMAT 1: 770 Q0 V
Followers: 35

Kudos [?]: 394 [0], given: 355

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