Let $p$ and $q$ be two statements. Amongst the following,the statement that is equivalent to $p \to q$ is

The dual of the converse of the inverse of the logical statement $p \to (q \to r)$ is equivalent to...

Consider the following statements:
$P :$ Suman is brilliant
$Q :$ Suman is rich
$R :$ Suman is honest
The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as:

If the statement $p \vee \sim(q \wedge r)$ is false,then the truth values of $p, q$ and $r$ are 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:

$(p \wedge \sim q \wedge \sim r) \vee (\sim p \wedge q \wedge \sim r) \vee (\sim p \wedge \sim q \wedge r)$ is equivalent to-