$p \Rightarrow q$ can also be written as

Let $\Delta, \nabla \in\{\wedge, \vee\}$ be such that $p \nabla q \Rightarrow(( p \nabla$q) $\nabla r$ ) is a tautology. Then (p $\nabla q ) \Delta r$ is logically equivalent to

The conditional $(p \wedge q)  \Rightarrow  p$ is :-

The negation of the statement

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

Which of the following statements is a tautology?

Among the statements

$(S1)$: $(p \Rightarrow q) \vee((\sim p) \wedge q)$ is a tautology

$(S2)$: $(q \Rightarrow p) \Rightarrow((\sim p) \wedge q)$ is a contradiction