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# Difficult Algebra DS Problem from Past GMAT ETS paper exam

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Difficult Algebra DS Problem from Past GMAT ETS paper exam [#permalink]  19 Oct 2010, 12:15
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Question Stats:

85% (02:10) correct 14% (02:40) wrong based on 21 sessions
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
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Re: Difficult Algebra DS Problem from Past GMAT ETS paper exam [#permalink]  19 Oct 2010, 12:23
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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.
_________________
Manager
Status: Waiting on 2nd round decisions from Wharton, Kellogg, and Booth. Received CGSM Fellowship Award offer to Haas!
Joined: 19 Nov 2009
Posts: 128
Concentration: General Management, Entrepreneurship
GMAT 1: 710 Q48 V39
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Re: Difficult Algebra DS Problem from Past GMAT ETS paper exam [#permalink]  19 Oct 2010, 14:29
Thanks Bunuel. I apologize for the bad formatting. Won't happen again!
Re: Difficult Algebra DS Problem from Past GMAT ETS paper exam   [#permalink] 19 Oct 2010, 14:29
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