The negation of the statement
"If I become a teacher, then I will open a school", is
I will become a teacher and I will not open a school.
Either I will not become a teacher or I will not open a school.
Neither I will become a teacher nor I will open a school
I will not become a teacher or I will open a school.
The inverse of the proposition $(p\; \wedge \sim q) \Rightarrow r$ is
The false statement in the following is
The negation of the Boolean expression $p \vee(\sim p \wedge q )$ is equivalent to
Suppose $p, q, r$ are positive rational numbers such that $\sqrt{p}+\sqrt{q}+\sqrt{r}$ is also rational. Then
If $q$ is false and $p\, \wedge \,q\, \leftrightarrow \,r$ is true, then which one of the following statements is a tautology?