The conditional statement $(p \wedge q) \implies p$ is:

If $q$ is false and $p \wedge q \leftrightarrow r$ is true,then which of the following is a tautology?

The proposition $(p$ $\Rightarrow \sim p) \wedge (\sim p$ $\Rightarrow p)$ is a

The Boolean expression $(p \wedge \sim q) \Rightarrow (q \vee \sim p)$ is equivalent to:

The negation of the statement "$12$ is a multiple of $3$ and $12$ is a multiple of $4$" is:

By giving a counterexample,show that the following statement is not true.
$p:$ If all the angles of a triangle are equal,then the triangle is an obtuse-angled triangle.