The contrapositive of the statement "if I am not feeling well, then I will go to the doctor" is
If I am feeling well, then I will not go to the doctor
If I will go to the doctor, then I am feeling well
If I will not go to the doctor, then I am feeling well
If I will go to the doctor, then I am not feeling well
Which of the following is a statement
$\sim (p \wedge q)$ is equal to .....
The maximum number of compound propositions, out of $p \vee r \vee s , p \vee P \vee \sim s , p \vee \sim q \vee s$,
$\sim p \vee \sim r \vee s , \sim p \vee \sim r \vee \sim s , \sim p \vee q \vee \sim s$, $q \vee r \vee \sim s , q \vee \sim r \vee \sim s , \sim p \vee \sim q \vee \sim s$
that can be made simultaneously true by an assignment of the truth values to $p , q , r$ and $s$, is equal to
$\sim ((\sim p)\; \wedge q)$ is equal to
Negation of the statement $P$ : For every real number, either $x > 5$ or $x < 5$ is