Which of the following statements is $NOT$ logically equivalent to $\left( {p \to \sim p} \right) \to \left( {p \to q} \right)$?
$\left( {p \to p} \right) \to \left( {p \to \sim p} \right)$
$q \to \left( {p \to q} \right)$
$\left( {q \to \sim p} \right) \to \left( {q \to p} \right)$
none of these
If $p \Rightarrow (q \vee r)$ is false, then the truth values of $p, q, r$ are respectively
Contrapositive of the statement 'If two numbers are not equal, then their squares are not equal', is
The statement $(\sim( p \Leftrightarrow \sim q )) \wedge q$ is :
Suppose $p, q, r$ are positive rational numbers such that $\sqrt{p}+\sqrt{q}+\sqrt{r}$ is also rational. Then
Which of the following is not logically equivalent to the proposition : “A real number is either rational or irrational”.