Removing the problem as I heard that it is a copyright violation.
Or is it not ?
OG12  Q125
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Things are not what they appear to be... nor are they otherwise
Things are not what they appear to be... nor are they otherwise
Hirppala90 wrote:If ^ represents one of the operations +, , and X,
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.
Statement 1  since it is given that K^1 is not equal to 1^K for some values we know that ^ cannot be + or *. Now solving the equn we get
LHS= K(L+M)
RHS= KL+KM = 2K (L+M)
Now, if K=0 then LHS=RHS
else LHS is not equal to RHS
Therefore, LHS is not equal to RHS for ALL values of K,L,M
Since the question asks us to find the equality for ALLnumbers K,L and M  Therefore the statement is SUFFICIENT
Same is the case for Statement 2
SUFFICIENT
THE answer is D