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If represents one of the operations +, , and , is

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If represents one of the operations +, , and , is [#permalink] New post 15 May 2006, 02:35
If·represents one of the operations +, –, and ×, is k.(l+m)=k.l+k.m for all numbers k,l and m?
(1) k·1 is not equal to 1·k for some numbers k.
(2) ·represents subtraction

Please explain?
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Re: K,l,m? [#permalink] New post 15 May 2006, 03:22
amansingla4 wrote:
If·represents one of the operations +, –, and ×, is k.(l+m)=k.l+k.m for all numbers k,l and m?
(1) k·1 is not equal to 1·k for some numbers k.
(2) ·represents subtraction

Please explain?


Both refer to subtraction.
If k, l , m = 0 then the result is true.
But for anything else it is not.

hence E.
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 [#permalink] New post 15 May 2006, 05:27
If·represents one of the operations +, –, and ×, is k.(l+m)=k.l+k.m for all numbers k,l and m?
(1) k·1 is not equal to 1·k for some numbers k.
(2) ·represents subtraction

(1) if k.1 not = 1.k, then the function can only be -
Then for any #, k.(l+m)=k.l+k.m is not true
Except for k=l=m=0, where it is true.
Not sufficient

(2) Not sufficient

Hence E
  [#permalink] 15 May 2006, 05:27
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If represents one of the operations +, , and , is

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