The negative of the statement $\sim p \wedge (p \vee q)$ is

If $p$ and $q$ are true and $r$ and $s$ are false statements,then which of the following is true?

Let $F_{1}(A, B, C) = (A \wedge \sim B) \vee [\sim C \wedge (A \vee B)] \vee \sim A$ and $F_{2}(A, B) = (A \vee B) \vee (B \rightarrow \sim A)$ be two logical expressions. Then ...... .

Find the component statements of the following and check whether they are true or not.
$A$ square is a quadrilateral and its four sides are equal.

If the Boolean expression $(p \wedge q) \circledast (p \otimes q)$ is a tautology,then $\circledast$ and $\otimes$ are respectively given by

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