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

The statement $(p \wedge (p$ $\rightarrow q) \wedge (q$ $\rightarrow r))$ $\rightarrow r$ is :

$p$: If $7$ is an odd number,then $7$ is divisible by $2$.
$q$: If $7$ is a prime number,then $7$ is an odd number.
If $V_1$ and $V_2$ are the respective truth values of the contrapositive of $p$ and $q$,then $(V_1, V_2) \equiv$

Consider the statement "The match will be played only if the weather is good and the ground is not wet". Select the correct negation from the following:

For the given statement,identify the necessary and sufficient conditions.
$t:$ If you drive over $80 \, km/h$,then you will get a fine.

The dual of the statement pattern $(p \land \sim q) \to (q \land \sim p)$ is equivalent to