The logically equivalent of $p \Leftrightarrow q$ is :-
$(p \wedge q) \vee (p \wedge q)$
$(p \Rightarrow q) \wedge (q \Rightarrow p)$
$(p \wedge q) \vee (q \Rightarrow p)$
$(p \wedge q) \Rightarrow (q \vee p)$
Statement$-I :$ $\sim (p\leftrightarrow q)$ is equivalent to $(p\wedge \sim q)\vee \sim (p\vee \sim q) .$
Statement$-II :$ $p\rightarrow (p\rightarrow q)$ is a tautology.
The contrapositive of the statement “If you are born in India, then you are a citizen of India”, is
The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times", is
The contrapositive of the statement "If I reach the station in time, then I will catch the train" is
If the truth value of the statement $p \to \left( { \sim q \vee r} \right)$ is false $(F)$, then the truth values of the statement $p, q, r$ are respectively