The negation of the statement

"If I become a teacher, then I will open a school", is

The negation of the Boolean expression $p \vee(\sim p \wedge q )$ is equivalent to

The negation of the Boolean expression $ \sim \,s\, \vee \,\left( { \sim \,r\, \wedge \,s} \right)$ is equivalent to

The following statement $\left( {p \to q} \right) \to $ $[(\sim p\rightarrow q) \rightarrow  q ]$ is

Which of the following is a contradiction

If $p, q, r$ are simple propositions, then $(p \wedge q) \wedge (q \wedge r)$ is true then