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# If X^2*Y^3=200, what is xy? 1. y is an integer 2. X/Y=2.5

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VP
Joined: 22 Nov 2007
Posts: 1080
If X^2*Y^3=200, what is xy? 1. y is an integer 2. X/Y=2.5 [#permalink]

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24 Feb 2008, 12:46
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If X^2*Y^3=200, what is xy?
1. y is an integer
2. X/Y=2.5
Current Student
Joined: 28 Dec 2004
Posts: 3357
Location: New York City
Schools: Wharton'11 HBS'12

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24 Feb 2008, 22:11
I get B as well..

x^2y^3=200

well if x=1 then y^3 or y=cuberoot(200) etc

1) if y is integer, i.e 1 then x=sqrt(200) etc or y^3=2^3 or x^2=5^2 xy=10

insuff

2) x/y=2.5 well only x=5 and y=2 fits the bill..

xy=10 sufficient
CEO
Joined: 29 Mar 2007
Posts: 2559

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27 Feb 2008, 08:27
marcodonzelli wrote:
If X^2*Y^3=200, what is xy?
1. y is an integer
2. X/Y=2.5

200--> 5^2*2^3

1: we don't know wheter x is + or -. insuff

2: must be 5/2. we know that both must be +. So suff.
Re: exponents   [#permalink] 27 Feb 2008, 08:27
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# If X^2*Y^3=200, what is xy? 1. y is an integer 2. X/Y=2.5

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