JEE Main 2013 (Online) 25th AprilQuestion 1
Let $p$ and $q$ be any two logical statements and $r:p\to(\sim p\vee q)$. If $r$ has a truth value $F$, then the truth values of $p$ and $q$ are respectively :
Sets, Relations and Function
Solution
$r$ is false only when $p=T$ and $\sim p\vee q=F$, i.e. $q=F$. So $p=T$, $q=F$.