In a Boolean Algebra $B$,for all $x, y \in B$,$x \wedge (x \vee y)$ is equal to

Which of the following sentences are statements? Give reasons for your answer.
The product of $(-1)$ and $8$ is $8.$

The contrapositive statement of the statement "If $x$ is a prime number,then $x$ is odd" is

If the statement $p \leftrightarrow (q \rightarrow p)$ is false,then the true statement/statement pattern is

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.

Consider the following statements:
$P$: Suman is brilliant
$Q$: Suman is rich
$R$: Suman is honest
The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be equivalently expressed as: