$\sim (p \vee q) \vee (\sim p \wedge q)$ is logically equivalent to

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

Which one of the following is a tautology ?

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 

The statement $(p \Rightarrow q) \vee(p \Rightarrow r)$ is NOT equivalent to.

The false statement in the following is