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

The symbolic form of the following circuit is (where $p, q$ and $r$ represent switches $s_{1}, s_{2}$ and $s_{3}$ which are closed respectively):

The negation of the statement "If an integer is greater than $4$ and less than $5$, then it is a multiple of $3$" is:

The contrapositive of the statement pattern $[p \lor (p \to q)] \to (p \land \sim q)$ is

If the truth value of the statement pattern $( \sim p \land q) \lor ( \sim p \land \sim q) \lor (p \land \sim q)$ is $F$, then the truth values of $(p \lor \sim q)$ and $(p \to q)$ are ... respectively.

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