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if r@s = rs+r+s, then for what value of s is r@sm equal to r

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Manager
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if r@s = rs+r+s, then for what value of s is r@sm equal to r [#permalink] New post 06 Sep 2006, 10:54
if r@s = rs+r+s, then for what value of s is r@sm equal to r for all values of r?

-1
0
1
1/(r+1)
r
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Kudos [?]: 70 [0], given: 39

 [#permalink] New post 06 Sep 2006, 12:17
It is either i cant figure it out at all

or something is wrong about the question ...can you plz revise it
Manager
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Re: Value of r [#permalink] New post 06 Sep 2006, 12:56
lan583 wrote:
if r@s = rs+r+s, then for what value of s is r@sm equal to r for all values of r?

-1
0
1
1/(r+1)
r



Apllying the defined operation we get:

find s such that

rsm+r+sm = r

holds for every r


since we know nothing about the "m" part of it, plugging in 1/-1/won't help 'cause m can still be anything and upset the equality.

only 0 works because them the 1st and 3rd terms are always zero and r=r, hich is always true

Answer 0 (C)
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 [#permalink] New post 06 Sep 2006, 13:09
I think C is the right answer and the clue is ( for all values of r)

because without this statment ( we could have assumed that r =zero

and thus we can never solve it
  [#permalink] 06 Sep 2006, 13:09
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if r@s = rs+r+s, then for what value of s is r@sm equal to r

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