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

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

If $p, q, r$ are simple propositions,then $(p \wedge q) \wedge (q \wedge r)$ is true,then:

Write the negation of the following statement:
Both the diagonals of a rectangle have the same length.

For the given statement,identify the necessary and sufficient conditions.
$t:$ If you drive over $80 \, km/h$,then you will get a fine.

If $p$: It is raining and $q$: It is pleasant,then the symbolic form of "It is neither raining nor pleasant" is