If $P \Rightarrow \left( {q \vee r} \right)$ is false, then the truth values of $p, q, r$ are respectively
$F, T, T$
$T, F, F$
$T, T, F$
$F, F, F$
Which of the following statements is $NOT$ logically equivalent to $\left( {p \to \sim p} \right) \to \left( {p \to q} \right)$?
$( S 1)( p \Rightarrow q ) \vee( p \wedge(\sim q ))$ is a tautology $( S 2)((\sim p ) \Rightarrow(\sim q )) \wedge((\sim p ) \vee q )$ is a Contradiction. Then
The contrapositive of the statement "if I am not feeling well, then I will go to the doctor" is
If $p \Rightarrow (\sim p \vee q)$ is false, the truth values of $p$ and $q$ are respectively
The contrapositive of the statement "I go to school if it does not rain" is