$(p \wedge q) \vee \sim p$ is equivalent to

If $(p \wedge \sim r) \rightarrow (\sim p \vee q)$ has a truth value of $False$,then the truth values of $p, q, r$ are respectively:

If $p, q, r, s$ are statements,where:
$p: A^2-B^2=(A-B)(A+B)$ where $A, B$ are matrices and $AB \neq BA$
$q: 5 \leqslant 5$
$r: { }^8 C_1+{ }^8 C_2+{ }^8 C_3+\ldots+{ }^8 C_8=256$
$s: \text{Maximum value of } { }^8 C_r \text{ is } 70$
Which of the following statements has a truth value of true?

Let $p$ and $q$ be two statements. Amongst the following,the statement that is equivalent to $p \to q$ is

The statement pattern $\sim(p \vee q) \vee(\sim p \wedge q)$ is equivalent to

What is the statement $(p \wedge q) \rightarrow p$?