if s and r are positive integer is r/s an integer ? st1 : DS Archive
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# if s and r are positive integer is r/s an integer ? st1

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if s and r are positive integer is r/s an integer ? st1 [#permalink]

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24 Nov 2005, 12:47
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if s and r are positive integer is r/s an integer ?

st1 every factor of s is also a factor of r

st 2 Every prime number factor of s is also a prime factor

thanks
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Re: OG 10 TH 240 DS [#permalink]

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24 Nov 2005, 13:07
mand-y wrote:
:) if s and r are positive integer is r/s an integer ?

st1 every factor of s is also a factor of r

st 2 Every prime number factor of s is also a prime factor

thanks

(1) Sufficient.
(2) For example, 21/42 = (1*3*7)/(1*3*7*2) = 1/2. Insufficient
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24 Nov 2005, 16:36
If s and r are positive integer is r/s an integer ?

1) every factor of s is also a factor of r

2) Every prime number factor of s is also a prime factor of r

**************************************************

1)

r = sa (a is a positive integer)

r/s = sa/s = a

Sufficient

2)

suppose s = 2 * 3 and r = 2 * 3 * 4

r/s 1/4

Insufficient
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24 Nov 2005, 16:36
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