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PS-Integer?

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Manager
Joined: 21 May 2008
Posts: 85

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07 Oct 2008, 05:35
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Manager
Joined: 15 Apr 2008
Posts: 164

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07 Oct 2008, 10:03

factorizing 450=3^2*5^2*2
to convert this into a cube we need 3*5*2*2

450*60=27000=n^3
N=30

Now if we substitute Y =60 in all the answer choices we get only I as an integer.
Director
Joined: 01 Jan 2008
Posts: 617

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07 Oct 2008, 10:13
I agree with the answer I only.

450 = (3^2)*2*(5^2)

since 450*y = n^3 and both n and y are integers -> n is divisible by 2, 3 and 5 -> n^3 is divisible by 2^3, 3^3 and 563 -> y is divisible by 3*2^2*5
Re: PS-Integer?   [#permalink] 07 Oct 2008, 10:13
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