If $p : 5$ is not greater than $2$ and $q$ : Jaipur is capital of Rajasthan, are two statements. Then negation of statement $p \Rightarrow q$ is the statement
$5$ is not greater than $2$ or Jaipur is not capitalof Rajasthan
$5$ is not greater than $2$ and Jaipur is not capital of Rajasthan
$5$ is greater than $2$ and Jaipur is capital of Rajasthan
$5$ is greater than $2$ and Jaipur is not capital of Rajasthan
The Boolean expression $ \sim \left( {p \Rightarrow \left( { \sim q} \right)} \right)$ is equivalent to
The statement $\sim(p\leftrightarrow \sim q)$ is :
Which of the following is logically equivalent to $\sim(\sim p \Rightarrow q)$
Contrapositive of the statement “If two numbers are not equal, then their squares are not equals” is
The statement $( p \wedge q ) \Rightarrow( p \wedge r )$ is equivalent to.