If $p$ : It rains today, $q$ : I go to school, $r$ : I shall meet any friends and $s$ : I shall go for a movie, then which of the following is the proposition : If it does not rain or if I do not go to school, then I shall meet my friend and go for a movie.
$\sim (p \wedge q) \Rightarrow (r \wedge s)$
$\sim (p\; \wedge \sim q) \Rightarrow (r \wedge s)$
$\sim (p\; \wedge q)\; \Rightarrow (r \vee s)$
None of these
The negation of $ \sim s \vee \left( { \sim r \wedge s} \right)$ is equivalent to :
The statement $B \Rightarrow((\sim A ) \vee B )$ is equivalent to
The Boolean expression $(\mathrm{p} \wedge \mathrm{q}) \Rightarrow((\mathrm{r} \wedge \mathrm{q}) \wedge \mathrm{p})$ is equivalent to :
The statement $A \rightarrow( B \rightarrow A )$ is equivalent to
The contrapositive of the statement "If I reach the station in time, then I will catch the train" is