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
$F,F$
$T,T$
$T,F$
$F,T$
The contrapositive of the statement "If you will work, you will earn money" is ..... .
If the Boolean expression $( p \Rightarrow q ) \Leftrightarrow( q *(\sim p ))$ is a tautology, then the Boolean expression $p *(\sim q )$ is equivalent to
The statement $(\mathrm{p} \wedge(\mathrm{p} \rightarrow \mathrm{q}) \wedge(\mathrm{q} \rightarrow \mathrm{r})) \rightarrow \mathrm{r}$ is :
Negation is $“2 + 3 = 5$ and $8 < 10”$ is
The statement "If $3^2 = 10$ then $I$ get second prize" is logically equivalent to