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?


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

Correct Option:2

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CAT Quant Practice Problems
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