The negation of $(p \land q) \to ((p \lor r) \to \sim q)$ is equivalent to ...

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

The negation of the statement "If $I$ become a teacher,then $I$ will open a school" is

The logical statement $(p \lor q) \land [(\sim p \land q) \lor (p \land \sim q)] \land \sim q$ is logically equivalent to ...

The negation of the Boolean expression $x \leftrightarrow \sim y$ is equivalent to

If $p$ : the function $f(x) = x$ is an even function,$q$ : ${}^nC_m$ is a whole number wherever defined,and $r$ : if $\overrightarrow{c} = \overrightarrow{a} + \lambda \overrightarrow{b}$,then the vectors $\overrightarrow{a}, \overrightarrow{b}$,and $\overrightarrow{c}$ are linearly dependent. Which one of the following statements is true?