Which of the following is a contradiction
$(p \wedge q) \wedge \sim (p \vee q)$
$p \vee (\sim p \wedge q)$
$(p \Rightarrow q) \Rightarrow p$
None of these
The negation of the expression $q \vee((\sim q) \wedge p)$ is equivalent to
The logically equivalent preposition of $p \Leftrightarrow q$ is
The statement $\sim[p \vee(\sim(p \wedge q))]$ is equivalent to
If the Boolean expression $( p \Rightarrow q ) \Leftrightarrow( q *(\sim p ))$ is a tautology, then the Boolean expression $p *(\sim q )$ is equivalent to
When does the current flow through the following circuit