$(p\; \wedge \sim q) \wedge (\sim p \wedge q)$ is
A tautology
A contradiction
Both a tautology and a contradiction
Neither a tautology nor a contradiction
$\sim (p \vee q)$ is equal to
$(\sim (\sim p)) \wedge q$ is equal to .........
If the inverse of the conditional statement $p \to \left( { \sim q\ \wedge \sim r} \right)$ is false, then the respective truth values of the statements $p, q$ and $r$ is
The contrapositive of the statement “If you are born in India, then you are a citizen of India”, is
Which of the following statement is a tautology?