The number of values of $r \in\{p, q, \sim p , \sim q \}$ for which $((p \wedge q) \Rightarrow(r \vee q)) \wedge((p \wedge r) \Rightarrow q)$ is a tautology, is:

Contrapositive of the statement:

'If a function $f$ is differentiable at $a$, then it is also continuous at $a$', is

The maximum number of compound propositions, out of $p \vee r \vee s , p \vee P \vee \sim s , p \vee \sim q \vee s$,

$\sim p \vee \sim r \vee s , \sim p \vee \sim r \vee \sim s , \sim p \vee q \vee \sim s$, $q \vee r \vee \sim s , q \vee \sim r \vee \sim s , \sim p \vee \sim q \vee \sim s$

that can be made simultaneously true by an assignment of the truth values to $p , q , r$ and $s$, is equal to

Statement $p$ $\rightarrow$  ~$q$ is false, if

The statment $ \sim \left( {p \leftrightarrow  \sim q} \right)$ is

Negation of $(p \Rightarrow q) \Rightarrow(q \Rightarrow p)$ is