The negation of $(p \wedge(\sim q)) \vee(\sim p)$ is equivalent to 

Let $p, q, r$ denote arbitrary statements. Then the logically equivalent of the statement $p\Rightarrow (q\vee r)$ is

Consider the following statements :

$A$ : Rishi is a judge.

$B$ : Rishi is honest.

$C$ : Rishi is not arrogant.

The negation of the statement "if Rishi is a judge and he is not arrogant, then he is honest" is

Negation of statement "If I will go to college, then I will be an engineer" is -

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

The negation of the compound statement $^ \sim p \vee \left( {p \vee \left( {^ \sim q} \right)} \right)$ is