The negation of the inverse of $\sim p \rightarrow q$ is

Find the component statements of the following and check whether they are true or not.
Chandigarh is the capital of Haryana and $UP$.

For the circuit shown below,the Boolean polynomial is

The statement $(p \wedge (\sim q)) \vee ((\sim p) \wedge q) \vee ((\sim p) \wedge (\sim q))$ is equivalent to

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.

The contrapositive of the statement: "If the weather is fine then my friends will come and we go for a picnic." is