Let,$p$ : Ramesh listens to music.

$q :$ Ramesh is out of his village

$r :$ It is Sunday

$s :$ It is Saturday

Then the statement "Ramesh listens to music only if he is in his village and it is Sunday or Saturday"can be expressed as.

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

$\sim (p \vee (\sim q))$ is equal to .......

Let $F_{1}(A, B, C)=(A \wedge \sim B) \vee[\sim C \wedge(A \vee B)] \vee \sim A$ and $F _{2}( A , B )=( A \vee B ) \vee( B \rightarrow \sim A )$ be two logical expressions. Then ...... .

Statement $\left( {p \wedge q} \right) \to \left( {p \vee q} \right)$ is

Consider the following statements :

$A$ : Rishi is a judge.

$B$ : Rishi is honest.

$C$ : Rishi is not arrogant.

The negation of the statement "if Rishi is a judge and he is not arrogant, then he is honest" is