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
The conditional $(p \wedge q) \Rightarrow p$ is :-
Let $p$ and $q$ be any two logical statements and $r:p \to \left( { \sim p \vee q} \right)$. If $r$ has a truth value $F$, then the truth values of $p$ and $q$ are respectively
Contrapositive of the statement:
'If a function $f$ is differentiable at $a$, then it is also continuous at $a$', is
The logically equivalent of $p \Leftrightarrow q$ is :-
Let $p$ and $q$ be two Statements. Amongst the following, the Statement that is equivalent to $p \to q$ is