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# If n and y are positive integers and 450y = n^3, which of

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Senior Manager
Joined: 19 Mar 2008
Posts: 345
If n and y are positive integers and 450y = n^3, which of [#permalink]

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02 Aug 2008, 07:25
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If n and y are positive integers and 450y = n^3, which of the following must be an integer?

(I) y/[(3) x (2^2) x (5)]
(II) y/[(3^2) x (2) x (5)]
(I) y/[(3) x (2) x (5^2)]

(A) None
(B) I only
(C) II only
(D) III only
(E) I, II, III

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Director
Joined: 10 Sep 2007
Posts: 914
Re: PS: Which must be an integer? (GMATPrep 1 ) [#permalink]

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02 Aug 2008, 08:05
450 = 2*3*3*5*5
To make it perfect cube, we need minimum of 2*2*3*5 as additional factor, which will be supplied by y.

(I) y/[(3) x (2^2) x (5)]
As y supplies 2*2*3*5 so this will be integer.

(II) y/[(3^2) x (2) x (5)]
As y supplies one 3 only (it may supply more but no guarantee) so this will not be an integer.

(I) y/[(3) x (2) x (5^2)]
As y supplies one 5 only (it may supply more but no guarantee) so this will not be an integer.

Senior Manager
Joined: 19 Mar 2008
Posts: 345
Re: PS: Which must be an integer? (GMATPrep 1 ) [#permalink]

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02 Aug 2008, 08:10
abhijit_sen wrote:
450 = 2*3*3*5*5
To make it perfect cube, we need minimum of 2*2*3*5 as additional factor, which will be supplied by y.

(I) y/[(3) x (2^2) x (5)]
As y supplies 2*2*3*5 so this will be integer.

(II) y/[(3^2) x (2) x (5)]
As y supplies one 3 only (it may supply more but no guarantee) so this will not be an integer.

(I) y/[(3) x (2) x (5^2)]
As y supplies one 5 only (it may supply more but no guarantee) so this will not be an integer.

You are too good. Answer is simple, but I thought for 2 mins and did not have a clue how to start in the CAT.

Thanks

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: PS: Which must be an integer? (GMATPrep 1 )   [#permalink] 02 Aug 2008, 08:10
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