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GMAT Prep - Integer problem

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GMAT Prep - Integer problem [#permalink] New post 20 Jun 2008, 08:52
Can some explain the below problem?
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Re: GMAT Prep - Integer problem [#permalink] New post 20 Jun 2008, 09:54
450=(3^2)*(5^2)*(2^1) *(y)=(n^3)
Hence y must be (3)*(5)*(2^2).
other choises may be an integer depending on how you choose n
but the question asks "must be".

maheshkrishna wrote:
Can some explain the below problem?
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Re: GMAT Prep - Integer problem [#permalink] New post 21 Jun 2008, 07:46
The answer is 1 only.

n^3= 450*y

450= 2* 5^2 * 3^2, hence,

y=(2^2 *3 *5)^X, when x= 1,3,6,9,...a(n-1)+3

y is an integer, so y/(3 * 2^2 * 5) must be an integer
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Re: GMAT Prep - Integer problem [#permalink] New post 21 Jun 2008, 18:22
450y = n^3
9*25*2y=n^3
for the above equation to satisfy, the smallest value of the y = 3*5*2*2
y/3*2^2*5 is an integer.
Re: GMAT Prep - Integer problem   [#permalink] 21 Jun 2008, 18:22
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