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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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Joined: 22 Nov 2007
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If X^2*Y^3=200, what is xy? 1. y is an integer 2. X/Y=2.5 [#permalink] New post 24 Feb 2008, 11:46
If X^2*Y^3=200, what is xy?
1. y is an integer
2. X/Y=2.5
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Joined: 28 Dec 2004
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Location: New York City
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Re: exponents [#permalink] New post 24 Feb 2008, 21:11
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
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Re: exponents [#permalink] New post 27 Feb 2008, 07:27
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, 07:27
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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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