$\sim ((\sim p)\; \wedge q)$ is equal to

Consider the following statements 

$P :$ Suman is brilliant

$Q :$ Suman is rich

$R :$ Suman is honest

The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as 

The inverse of the proposition $(p\; \wedge \sim q) \Rightarrow r$ is

Negation of the Boolean statement $( p \vee q ) \Rightarrow((\sim r ) \vee p )$ is equivalent to

Negation of “Ram is in Class $X$ or Rashmi is in Class $XII$” is

The statment $ \sim \left( {p \leftrightarrow  \sim q} \right)$ is