Statement $\left( {p \wedge q} \right) \to \left( {p \vee q} \right)$ is

The converse of the statement $((\sim p) \wedge q) \Rightarrow r$ is

Let $p$ and $q$ denote the following statements
$p$ : The sun is shining
$q$ : I shall play tennis in the afternoon

The negation of the statement "If the sun is shining then I shall play tennis in the afternoon", is 

Let $p , q , r$ be three statements such that the truth value of $( p \wedge q ) \rightarrow(\sim q \vee r )$ is $F$. Then the truth values of $p , q , r$ are respectively

The statement $p → (p \leftrightarrow  q)$ is logically equivalent to :-

Which of the following is not logically equivalent to the proposition : “A real number is either rational or irrational”.