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

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Manager
Joined: 31 Mar 2006
Posts: 163
Followers: 1

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If represents one of the operations +, , and , is [#permalink]  15 May 2006, 01:35
IfÂ·represents one of the operations +, â€“, and Ã—, is k.(l+m)=k.l+k.m for all numbers k,l and m?
(1) kÂ·1 is not equal to 1Â·k for some numbers k.
(2) Â·represents subtraction

Director
Joined: 24 Oct 2005
Posts: 660
Location: London
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Kudos [?]: 7 [0], given: 0

Re: K,l,m? [#permalink]  15 May 2006, 02:22
amansingla4 wrote:
IfÂ·represents one of the operations +, â€“, and Ã—, is k.(l+m)=k.l+k.m for all numbers k,l and m?
(1) kÂ·1 is not equal to 1Â·k for some numbers k.
(2) Â·represents subtraction

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

hence E.
Director
Joined: 16 Aug 2005
Posts: 947
Location: France
Followers: 1

Kudos [?]: 10 [0], given: 0

IfÂ·represents one of the operations +, â€“, and Ã—, is k.(l+m)=k.l+k.m for all numbers k,l and m?
(1) kÂ·1 is not equal to 1Â·k for some numbers k.
(2) Â·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
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