CAT Quant Practice Problems

Question: The following operations are defined for real numbers. a # b = a + b, if a and b both are positive else a # b = 1 a ∇ b = (a × b)a + bif a × b is positive else a ∇ b = 1.

\(\left( {\frac{{\left( {x\# - y} \right)}}{{ - x\bar \vee y}}} \right) = \frac{3}{8}\) then which of the following must be true?

\(x = 2,y = 1\)
\(x > 0,y > 0\)
\(x,y\)both positive
\(x,y\) both negative
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