The proposition $\sim (p \vee \sim q) \vee \sim (p \vee q)$ is logically equivalent to

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?

Write the negation of the following statement:
$p:$ For every positive real number $x,$ the number $x-1$ is also positive.

If the truth value of the statement $p \to (\sim q \vee r)$ is false $(F)$,then the truth values of the statements $p, q, r$ are respectively:

Write the contrapositive of the following statement:
If you are born in India,then you are a citizen of India.

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