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

Which of the following sentences are statements? Give reasons for your answer.
There are $35$ days in a month.

The negation of $\sim s \vee (\sim r \wedge s)$ is equivalent to :

The statement $(p$ $\Rightarrow q) \vee (p$ $\Rightarrow r)$ is $NOT$ equivalent to:

By giving a counterexample,show that the following statement is not true.
$q:$ The equation $x^{2}-1=0$ does not have a root lying between $0$ and $2$.

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.