For the statements $p$ and $q$, consider the following compound statements :

$(a)$ $(\sim q \wedge( p \rightarrow q )) \rightarrow \sim p$

$(b)$ $((p \vee q) \wedge \sim p) \rightarrow q$

Then which of the following statements is correct?

The proposition $\left( { \sim p} \right) \vee \left( {p\, \wedge  \sim q} \right)$

Negation of "If India wins the match then India will reach in the final" is :-

Consider the following two statements :
$P :$  lf $7$  is an odd number, then $7$ is divisible by $2.$
$Q :$ If $7$ is a prime number, then $7$ is an odd number.
lf $V_1$ is the truth value of the contrapositive of $P$ and $V_2$ is the truth value of contrapositive of $Q,$ then the ordered pair  $(V_1, V_2)$  equals

The contrapositive of $(p \vee q) \Rightarrow r$ is

The Statement that is $TRUE$ among the following is