The converse of the statement "If $p < q$,then $p - x < q - x$" is -

The negation of the inverse of the statement $\sim p \lor q$ is...

If $p$ : the function $f(x) = x$ is an even function,$q$ : ${}^nC_m$ is a whole number wherever defined,and $r$ : if $\overrightarrow{c} = \overrightarrow{a} + \lambda \overrightarrow{b}$,then the vectors $\overrightarrow{a}, \overrightarrow{b}$,and $\overrightarrow{c}$ are linearly dependent. Which one of the following statements is true?

Let $*, \square \in \{\wedge, \vee\}$ be such that the Boolean expression $(p * \sim q) \Rightarrow (p \square q)$ is a tautology. Then :

The logical statement $(p$ $\rightarrow q) \wedge (p$ $\rightarrow \sim p)$ is equivalent to

If $p, q, r$ are single propositions with truth values $T, F, F$ respectively,then the truth value of $(p \wedge \sim q) \rightarrow (\sim p \vee r)$ is