jee-main 2022 Q67

jee-main · India · session1_26jun_shift1 Not Maths
Let $\Delta , \nabla \in \{ \wedge , \vee \}$ be such that $p \nabla q \rightarrow ( ( p \Delta q ) \nabla r )$ is a tautology. Then $( p \nabla q ) \Delta r$ is logically equivalent to
(1) $( p \Delta r ) \vee q$
(2) $( p \Delta r ) \wedge q$
(3) $( p \wedge r ) \Delta q$
(4) $( p \nabla r ) \wedge q$
Let $\Delta , \nabla \in \{ \wedge , \vee \}$ be such that $p \nabla q \rightarrow ( ( p \Delta q ) \nabla r )$ is a tautology. Then $( p \nabla q ) \Delta r$ is logically equivalent to\\
(1) $( p \Delta r ) \vee q$\\
(2) $( p \Delta r ) \wedge q$\\
(3) $( p \wedge r ) \Delta q$\\
(4) $( p \nabla r ) \wedge q$