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# Integers (a hard one)

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VP
Joined: 16 Jul 2009
Posts: 1394
Schools: CBS
WE 1: 4 years (Consulting)

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19 Jul 2009, 05:26
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Both n and y are positive integers.
450y=n^3

Which is an integer?

I) y/(3.5.2^2)

II) y/(2.5.3^2)

III) y/(2.3.5^2)

A) None; B) I only; C) II only; D) III only; E) I, II and III
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Manager
Joined: 16 Apr 2009
Posts: 219
Schools: Ross
Re: Integers (a hard one) [#permalink]

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19 Jul 2009, 07:39
Quote:
Both n and y are positive integers.
450y=n^3

Which is an integer?

I) y/(3.5.2^2)

II) y/(2.5.3^2)

III) y/(2.3.5^2)

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

450y=n^3
2 * 5*5*3*3*y=n^3
Y should be atleast 2*2*5*3 =5*3*2^2
hence B
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Manager
Joined: 27 Jun 2008
Posts: 144
Re: Integers (a hard one) [#permalink]

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20 Jul 2009, 03:45
Quote:
450y=n^3

3X3X5X5X2XY
i.e. Y would be multiplier and the result need to make the value cube of N
So Y = 3X5X2X2 = 60
N= 2X3X5 = 30.

Put these values in the options provided only B fits the bill. Hence the answer.
Re: Integers (a hard one)   [#permalink] 20 Jul 2009, 03:45
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