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Known (pr) /10 is integer, p/5 whether is integer? 1)r/2 is

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Known (pr) /10 is integer, p/5 whether is integer? 1)r/2 is [#permalink] New post 13 Sep 2003, 19:38
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Known (pr) /10 is integer, p/5 whether is integer?

1)r/2 is integer.
2)p is prime
Intern
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Joined: 13 Sep 2003
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 [#permalink] New post 13 Sep 2003, 20:44
I could only do it by example:

statement 1:
r/2 is integer...
take r to be 10, and (pr)/10 is an integer.
take r to be 2, and you're left with p/5, which depends on p

statement 2 (if this gives us p/5, maybe we can use both statements together):
if p is 5, you're left with r/2... depends on r.
if p is 3, you're left with 3r/10... doesn't realy help.

this is not a very clear argument though, could anyone rovide something more concise/elegant?

Thanks,
Maniaque
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 [#permalink] New post 13 Sep 2003, 21:07
Maniaque27 wrote:
This is not a very clear argument though, could anyone rovide something more concise/elegant?



A .... r/2 is integer.

pr/10 = p/5 * r/2 ... we cant say whether p/5 is an integer..Insufficient

B .... p is prime

p could be 2,3,4 or 5 or any other prime number. Insufficient

Combine... we still have no conclusion.

Is that elegant enough for you? :)

E.
  [#permalink] 13 Sep 2003, 21:07
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Known (pr) /10 is integer, p/5 whether is integer? 1)r/2 is

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