The contrapositive of the statement “If you are born in India, then you are a citizen of India”, is

Among the statements

$(S1)$: $(p \Rightarrow q) \vee((\sim p) \wedge q)$ is a tautology

$(S2)$: $(q \Rightarrow p) \Rightarrow((\sim p) \wedge q)$ is a contradiction

Negation of the Boolean expression $p \Leftrightarrow( q \Rightarrow p )$ is.

The statement $p \rightarrow  (q \rightarrow p)$  is equivalent to

Which of the following is not logically equivalent to the proposition : “A real number is either rational or irrational”.

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