The missing value in the following figure is

Write the negation of the following statement:
$\sqrt{2}$ is not a complex number.

The negation of the inverse of the statement $\sim p \lor q$ is...

For the simple statements $p, q$,and $r$,$p \rightarrow (q \vee r)$ is logically equivalent to

Consider the following statements.
$p: \text{If } 3^4 > 4^3, \text{then } 3^3 > 4^1$
$q: \text{The roots of the equation } x^2 - 2x + 2 = 0 \text{ are real if and only if Mumbai is in Maharashtra.}$
$r: \text{Statement } p \text{ is true or statement } q \text{ is false.}$
Which of the following has truth value $T$ (true)?

Consider the following statements:
$(A)$ If $3+3=7$,then $4+3=8$.
$(B)$ If $5+3=8$,then the earth is flat.
$(C)$ If both $(A)$ and $(B)$ are true,then $5+6=17$.
Which of the following statements is correct?