Contrapositive of the statement “If two numbers are not equal, then their squares are not equals” is

The compound statement $(\sim( P \wedge Q )) \vee((\sim P ) \wedge Q ) \Rightarrow((\sim P ) \wedge(\sim Q ))$ is equivalent to

Statement $\quad(P \Rightarrow Q) \wedge(R \Rightarrow Q)$ is logically equivalent to

Which Venn diagram represent the truth of the statement“Some teenagers are not dreamers”

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 

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