If $p \Rightarrow (\sim p \vee q)$ is false,the truth values of $p$ and $q$ are respectively

For each of the following compound statements,first identify the corresponding component statements. Then check whether the statements are true or not.
If $a$ and $b$ are integers,then $ab$ is a rational number.

The logical expression $[p \wedge (q \vee r)] \vee [(\sim p \wedge q) \vee (\sim p \wedge r)]$ is equivalent to

Find the component statements of the following compound statement:
It is raining and it is cold.

If $Statement-I$: If the work is not finished on time,the contractor is in trouble. $Statement-II$: Either the work is finished on time or the contractor is in trouble. Then:

The negation of the statement "$12$ is a multiple of $3$ and $12$ is a multiple of $4$" is: