Negation of the conditional : “If it rains, I shall go to school” is

Dual of $(x \vee y) \wedge (x \vee 1) = x \vee (x \wedge y) \vee y$ is

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

Which one of the following Boolean expressions is a tautology?

Which one of the following is a tautology ?

If $\mathrm{p} \rightarrow(\mathrm{p} \wedge-\mathrm{q})$ is false, then the truth values of $p$ and $q$ are respectively