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

Let $p$ and $q$ denote the following statements:
$p$: The sun is shining
$q$: $I$ shall play tennis in the afternoon
The negation of the statement "If the sun is shining then $I$ shall play tennis in the afternoon" is:

$p \rightarrow \sim q$ can also be written as

The last column in the truth table of the statement pattern $[p \rightarrow (q \wedge \sim p)] \vee [(p \vee \sim q) \wedge p]$ is

Rewrite the following statement in the form "$p$ if and only if $q$":
$p:$ If you watch television,then your mind is free and if your mind is free,then you watch television.

If $p : 5$ is not greater than $2$ and $q : \text{Jaipur is the capital of Rajasthan}$ are two statements,then the negation of the statement $p \Rightarrow q$ is: