Negation of statement "If I will go to college, then I will be an engineer" is -
I will not go to college and I will be an engineer
I will go to college and I will not be an engineer.
Either I will not go to college or I will not be an engineer.
Neither I will go to college nor I will be an engineer.
Statement $-1$ : The statement $A \to (B \to A)$ is equivalent to $A \to \left( {A \vee B} \right)$.
Statement $-2$ : The statement $ \sim \left[ {\left( {A \wedge B} \right) \to \left( { \sim A \vee B} \right)} \right]$ is a Tautology
The Boolean expression $ \sim \left( {p \Rightarrow \left( { \sim q} \right)} \right)$ is equivalent to
Statement $\quad(P \Rightarrow Q) \wedge(R \Rightarrow Q)$ is logically equivalent to
$(p\; \wedge \sim q) \wedge (\sim p \wedge q)$ is