The negation of the statement $''96$ is divisible by $2$ and $3''$ is
$96$ is not divisible by $2$ and $3$
$96$ is not divisible by $3$ or $96$ is not divisible by $2$
$96$ is divisible by $2$ or $96$ is divisible by $3$
none of these
$p \Rightarrow q$ can also be written as
Negation is $“2 + 3 = 5$ and $8 < 10”$ is
$\sim p \wedge q$ is logically equivalent to
If $p$ : It rains today, $q$ : I go to school, $r$ : I shall meet any friends and $s$ : I shall go for a movie, then which of the following is the proposition : If it does not rain or if I do not go to school, then I shall meet my friend and go for a movie.
$\left( {p \wedge \sim q \wedge \sim r} \right) \vee \left( { \sim p \wedge q \wedge \sim r} \right) \vee \left( { \sim p \wedge \sim q \wedge r} \right)$ is equivalent to-