For any two numbers we define an operation $ yielding another number, X $ Y such that following condition holds: X $ X = 0 for all X , X $ (Y $ Z) = X $ Y + Z Find the Value of 2012 $ 0 + 2012 $ 1912 ?



For any two numbers we define an operation $ yielding another number, X $ Y such that following condition holds: " X $ X = 0 for all X " X $ (Y $ Z) = X $ Y + Z Find the Value of 2012 $ 0 + 2012 $ 1912 ?

A. 2112

B. 100

C. 5936

D. Cannot be determined

Answer : A. 2112

Explanation:


    Here $ represent the – operator so X - X = 0
    First condition x $ (y $ z) = x - (y - z) = x - y + z.
    It can be written as x $ y + z
    2012 - 0 + 2012 - 1912 = 2112


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