The negation of the statement "If India wins the match,then India will reach the final" is:

If the statement $p \rightarrow (q \vee r)$ is false,then the truth values of $p, q, r$ are respectively:

The dual of the statement pattern $(p \land \sim q) \to (q \land \sim p)$ is equivalent to

What is the identity element for the sum (disjunction) in Boolean algebra of logical statements?

Find the component statements of the following and check whether they are true or not.
$24$ is a multiple of $2, 4$ and $8$.

Which of the following statement$(s)$ is/are not true?
$I$) If $1$ is not a prime number, then $2$ is not a prime number.
$II$) $e$ is a vowel and $12 \times 3 = 36$.
$III$) It is not true that $14$ is a composite number and $3$ is an even number.
$IV$) $\sqrt{5}$ is an irrational number, but $3 + \sqrt{5}$ is a complex number.