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The Operator @ !!!

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The Operator @ !!!

by apoorva.srivastva » Fri Jun 26, 2009 9:15 pm
The operation @ is defined by x @ y = 1/x + 1/y for all non zero x and y. If z is a number number greater than 1, which of the following must be true?

I. x @ (-z) = 0
II. z @ z/(z-1) = 1
III. 2/z @ 2/z = z


A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III
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by nitya34 » Fri Jun 26, 2009 9:25 pm
Clearly II and III are Correct. hence D
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by apoorva.srivastva » Fri Jun 26, 2009 10:33 pm
Even I got it as D ...but the OA given is E



I think then the OA is wrong!!
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by madhur_ahuja » Fri Jun 26, 2009 11:23 pm
If OA is E, the question should be changed to:

I. z @ (-z) = 0
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