JEE Main · 2019 · 09 Apr 2019 · Shift 2 · Mathematical Reasoning *

An implication is false in only one situation: when its hypothesis is true and its conclusion false. So $p\Rightarrow (q\vee r)$ is false exactly when $p$ is true and $q\vee r$ is false. A disjunction is false only when both of its parts are false, so $q$ and $r$ are both false. The truth values of $p,q,r$ are therefore true, false, false.