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.

Answer: A.

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

Hope it helps.
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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

Schools: HBS '15 (D), Stanford '15 (D), Wharton '15 (M), Booth '15 (A), CBS '15 (A), Haas '15 (A), Tuck '15 (A), Darden '15 (A), Johnson '15 (A)

GMAT 1: 710 Q48 V39

Followers: 5

Kudos [?]: 32 [0], given: 209

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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Difficult Algebra DS Problem from Past GMAT ETS paper exam

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Difficult Algebra DS Problem from Past GMAT ETS paper exam

Difficult Algebra DS Problem from Past GMAT ETS paper exam

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