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

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Manager
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If n and y are positive integers adn 450y=n^3 , which of the [#permalink] New post 07 May 2006, 17:19
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If n and y are positive integers adn 450y=n^3 , which of the following must be an integer?
I y/(3*2^2*5)
II y/(3^2*2*5)
III y/(3*2*5^2)

None
I only
II only
III only
I,II,and III
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 [#permalink] New post 07 May 2006, 19:03
Nope, I think its I


Cos u can get y = 3*2*2*5 Atleast!
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 [#permalink] New post 08 May 2006, 08:30
sm176811 wrote:
Nope, I think its I

Cos u can get y = 3*2*2*5 Atleast!

n^3 = 450y
n^3 = 2x3x3x5x5 y

if n and y are +ve integers, y must, at least be, 2x2x3x5.

hmmm.... ok, it is only I.
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 [#permalink] New post 08 May 2006, 19:17
I dont get it ??? :? Isnt 2*3^2*5 the same as 6^10 and if that is true how is 2.2.3.5 which is 60/6^10 an integer? please explain
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 [#permalink] New post 09 May 2006, 08:03
450=9*50=3*3*2*5*5=3^2*5^2*2. 3rd root of y must be integer, so y must be a number that is composed of 3^(n-2)^2^(n-1)^5^(n-1), where n is multiple of 3. from the choices 1 only satisfies this. So the answer is A.
  [#permalink] 09 May 2006, 08:03
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