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.
The negation of $(p \wedge(\sim q)) \vee(\sim p)$ is equivalent to
The statement $(\mathrm{p} \wedge(\mathrm{p} \rightarrow \mathrm{q}) \wedge(\mathrm{q} \rightarrow \mathrm{r})) \rightarrow \mathrm{r}$ is :
Consider
Statement $-1 :$$\left( {p \wedge \sim q} \right) \wedge \left( { \sim p \wedge q} \right)$ is a fallacy.
Statement $-2 :$$(p \rightarrow q) \leftrightarrow ( \sim q \rightarrow \sim p )$ is a tautology.
$(\sim (\sim p)) \wedge q$ is equal to .........
Which of the following is a statement