Which of the following is logically equivalent to $\sim(\sim p \Rightarrow q)$
$p \wedge q$
$p \wedge \sim q$
$\sim p\ \wedge q$
$\sim p\; \wedge \sim q$
The statement among the following that is a tautology is
$\sim p \wedge q$ is logically equivalent to
Negation of the statement : - $\sqrt{5}$ is an integer or $5$ is irrational is
The conditional $(p \wedge q) ==> p$ is