Which of the following statements is a tautology?
$((\sim p) \vee q) \Rightarrow p$
$p \Rightarrow((\sim p ) \vee q )$
$((\sim p) \vee q) \Rightarrow q$
$q \Rightarrow((\sim p) \vee q)$
Let $*, \square \in\{\wedge, \vee\}$ be such that the Boolean expression $(\mathrm{p} * \sim \mathrm{q}) \Rightarrow(\mathrm{p} \square \mathrm{q})$ is a tautology. Then :
Which of the following Boolean expression is a tautology ?
The contrapositive of $(p \vee q) \Rightarrow r$ is
Negation of the statement $P$ : For every real number, either $x > 5$ or $x < 5$ is
The statement $[(p \wedge q) \rightarrow p] \rightarrow (q \wedge \sim q)$ is