The contrapositive of the statement "If it is raining,then $I$ will not come" is

The inverse of the proposition $(p \wedge \sim q) \Rightarrow r$ is

Let $p$ and $q$ stand for the statements "$2 \times 4 = 8$" and "$4$ divides $7$" respectively. Then the truth values of the following biconditional statements are:
$(i)$ $p \leftrightarrow q$
$(ii)$ $\sim p \leftrightarrow q$
$(iii)$ $\sim q \leftrightarrow p$
$(iv)$ $\sim p \leftrightarrow \sim q$

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

Write the following statement in the form "if $p$,then $q$":
$p$: It is necessary to have a password to log on to the server.

Negation of $p \wedge (\sim q \vee \sim r)$ is -