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

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

If $p, q, r$ are simple propositions with truth values $T, F, T$ respectively, then which of the following is not a true statement?

If $p$: switch $s_1$ is closed,$q$: switch $s_2$ is closed,then the correct interpretation of the following circuit is:

Consider the following statements:
$(A)$ If $4+3=8$,then $5+3=9$
$(B)$ If $6+4=10$,then the moon is flat
$(C)$ If both $(A)$ and $(B)$ are true,then $5+6=17$
Which of the following statements is correct?

If $p \rightarrow (q \vee r)$ is false,then what are the truth values of $p, q, r$ respectively?