The expression $\sim (p \vee q) \vee (\sim p \wedge q)$ is equivalent to:

The output of the following circuit is

Let $p, q, r$ be three statements such that the truth value of $(p \wedge q) \rightarrow (\sim q \vee r)$ is $F$. Then the truth values of $p, q, r$ are respectively:

Which of the following sentences are statements? Give reasons for your answer.
The square of a number is an even number.

Show that the statement $p:$ 'If $x$ is a real number such that $x^{3}+4x=0$,then $x$ is $0$' is true by the method of contrapositive.

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