Which of the following Boolean expression is a tautology ?
$(p \wedge q) \vee(p \vee q)$
$(p \wedge q) \vee(p \rightarrow q)$
$(p \wedge q) \wedge(p \rightarrow q)$
$( p \wedge q ) \rightarrow( p \rightarrow q )$
The negation of $ \sim s \vee \left( { \sim r \wedge s} \right)$ is equivalent to :
If $P$ and $Q$ are two statements, then which of the following compound statement is a tautology?
Let $\Delta, \nabla \in\{\wedge, \vee\}$ be such that $p \nabla q \Rightarrow(( p \nabla$q) $\nabla r$ ) is a tautology. Then (p $\nabla q ) \Delta r$ is logically equivalent to
The proposition $ \sim \left( {p\,\vee \sim q} \right) \vee \sim \left( {p\, \vee q} \right)$ is logically equivalent to
The statment $ \sim \left( {p \leftrightarrow \sim q} \right)$ is