For the circuit shown below,the Boolean polynomial is

The statement pattern $(p \land q) \to (r \lor \sim s)$ is false. Then the truth values of $p, q, r$ and $s$ are respectively

The negation of $(p \wedge \sim q) \rightarrow (p \vee \sim q)$ is

The converse of $[p \wedge (\sim q)] \rightarrow r$ is

Show that the statement $p:$ 'If $x$ is a real number such that $x^{3}+4x=0$,then $x$ is $0$' is true by the method of contrapositive.

Consider the following statements.
$p: \text{If } 3^4 > 4^3, \text{then } 3^3 > 4^1$
$q: \text{The roots of the equation } x^2 - 2x + 2 = 0 \text{ are real if and only if Mumbai is in Maharashtra.}$
$r: \text{Statement } p \text{ is true or statement } q \text{ is false.}$
Which of the following has truth value $T$ (true)?