The converse of the contrapositive of the conditional $p \rightarrow \sim q$ is

If $p: \text{A man is happy}$,$q: \text{A man is rich}$,then the symbolic form of '$\text{A man is neither happy nor rich}$' is

If the Boolean expression $(p \oplus q) \wedge (\sim p \Theta q)$ is equivalent to $p \wedge q$,where $\oplus, \Theta \in \{\wedge, \vee\}$,then the ordered pair $(\oplus, \Theta)$ is:

The Boolean expression $\sim(p \vee q) \vee (\sim p \wedge q)$ is equivalent to:

The proposition $(\sim p) \vee (p \wedge \sim q)$ is equivalent to

If $p$ and $q$ are true statements and $r$ and $s$ are false statements,then the truth values of the statement patterns $(p \wedge q) \vee r$ and $(p \vee s) \leftrightarrow(q \wedge r)$ are respectively