# 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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CAT Quant Practice Problems