Consider the following three statements:
$P: 5$ is a prime number.
$Q: 7$ is a factor of $192$.
$R: \text{L.C.M. of } 5 \text{ and } 7 \text{ is } 35$.
Then,the truth value of which one of the following statements is true?

Which of the following statement patterns is a tautology?

For each of the following statements,determine whether an inclusive "Or" or exclusive "Or" is used. Give reasons for your answer.
To enter a country,you need a passport or a voter registration card.

If the truth value of the statement pattern $[p \wedge \sim r] \rightarrow [\sim r \wedge q]$ is False,then which of the following has truth value False?

If $p$ : the function $f(x) = x$ is an even function,$q$ : ${}^nC_m$ is a whole number wherever defined,and $r$ : if $\overrightarrow{c} = \overrightarrow{a} + \lambda \overrightarrow{b}$,then the vectors $\overrightarrow{a}, \overrightarrow{b}$,and $\overrightarrow{c}$ are linearly dependent. Which one of the following statements is true?

If the statement "If two triangles are congruent,then their areas are equal" is given,then what are the contrapositive and the inverse of the given statement?