The logically equivalent of $p \Leftrightarrow q$ is :-
$(p \wedge q) \vee (p \wedge q)$
$(p \Rightarrow q) \wedge (q \Rightarrow p)$
$(p \wedge q) \vee (q \Rightarrow p)$
$(p \wedge q) \Rightarrow (q \vee p)$
Negation of the statement $(p \vee r) \Rightarrow(q \vee r)$ is :
The negation of the compound statement $^ \sim p \vee \left( {p \vee \left( {^ \sim q} \right)} \right)$ is
Which of the following statements is a tautology?
The contrapositive of the statement "If it is raining, then I will not come", is
$\sim (p \Rightarrow q) \Leftrightarrow \sim p\; \vee \sim q$ is