# 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.

$\frac{{\left\{ {\left( {\left( {1\# 1} \right)\# 2} \right) - \left( {{{10}^{1.3}}\bar \vee {{\log }_{10}}0.1} \right)} \right\}}}{{\left( {1\bar \vee 2} \right)}}$

 $\frac{3}{8}$ $\frac{{4.{{\log }_{10}}0.1}}{8}$ $\frac{{\left( {4 + {{10}^{13}}} \right)}}{8}$ None of these
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CAT Quant Practice Problems
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