Negation of "If India wins the match then India will reach in the final" is :-
If India doesn't win match then India will not reach in the final.
India wins the match and India will not reach in the final.
India doesn't win the match and India will reach in the final.
None of these
Let $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and $\mathrm{D}$ be four non-empty sets. The contrapositive statement of "If $\mathrm{A} \subseteq \mathrm{B}$ and $\mathrm{B} \subseteq \mathrm{D},$ then $\mathrm{A} \subseteq \mathrm{C}^{\prime \prime}$ is
$\sim (p \vee q) \vee (\sim p \wedge q)$ is logically equivalent to
Which of the following is not a statement
If the truth value of the Boolean expression $((\mathrm{p} \vee \mathrm{q}) \wedge(\mathrm{q} \rightarrow \mathrm{r}) \wedge(\sim \mathrm{r})) \rightarrow(\mathrm{p} \wedge \mathrm{q}) \quad$ is false then the truth values of the statements $\mathrm{p}, \mathrm{q}, \mathrm{r}$ respectively can be:
The statement $(p \Rightarrow q) \vee(p \Rightarrow r)$ is NOT equivalent to.