For each of the following compound statements,first identify the connecting words and then break it into component statements.
All rational numbers are real and all real numbers are not complex.

Consider the following statements:
$p: 2$ is an even prime number.
$q: \text{If } z_1 = 2 - i, z_2 = -2 + i \text{ where } i = \sqrt{-1}, \text{ then } \operatorname{Im}\left[\frac{1}{z_1 \bar{z}_2}\right] = -\frac{1}{5}$.
$r: \tan(-945^{\circ}) = -1$.
Which of the following has a truth value of True?

Negation of the compound proposition: "If the examination is difficult,then $I$ shall pass if $I$ study hard."

Which of the following statements has a truth value of '$T$'?

If $\sim p \lor q$ is false, then which of the following is correct?

State whether the "Or" used in the following statement is "exclusive" or "inclusive". Give reasons for your answer.
To apply for a driving licence,you should have a ration card or a passport.