jee-main 2022 Q68

jee-main · India · session2_28jul_shift1 Proof True/False Justification
Let the operations $*, \odot \in \{\wedge, \vee\}$. If $p * q \odot p \odot {\sim}q$ is a tautology, then the ordered pair $(*, \odot)$ is
(1) $(\vee, \wedge)$
(2) $(\vee, \vee)$
(3) $(\wedge, \wedge)$
(4) $(\wedge, \vee)$
Let the operations $*, \odot \in \{\wedge, \vee\}$. If $p * q \odot p \odot {\sim}q$ is a tautology, then the ordered pair $(*, \odot)$ is\\
(1) $(\vee, \wedge)$\\
(2) $(\vee, \vee)$\\
(3) $(\wedge, \wedge)$\\
(4) $(\wedge, \vee)$