⇒ Mathematical Logic

Correct answer option is (C)

$\begin{array}{rl}\mathrm{p}\wedge (\sim \mathrm{p}\vee \sim \mathrm{q})\wedge \mathrm{q}& =\mathrm{p}\wedge \mathrm{q}\wedge \sim (\mathrm{p}\wedge \mathrm{q})\\ & =(\mathrm{p}\wedge \mathrm{q})\wedge \sim (\mathrm{p}\wedge \mathrm{q})\equiv \mathrm{F}\end{array}$