jee-main 2023 Q73

jee-main · India · session2_06apr_shift2 Proof True/False Justification
Among the statements $(S1): (p \Rightarrow q) \vee ((\sim p) \wedge q)$ is a tautology $(S2): (q \Rightarrow p) \Rightarrow ((\sim p) \wedge q)$ is a contradiction
(1) Neither $(S1)$ and $(S2)$ is True
(2) Both $(S1)$ and $(S2)$ are True
(3) Only $(S2)$ is True
(4) Only $(S1)$ is True
Among the statements\\
$(S1): (p \Rightarrow q) \vee ((\sim p) \wedge q)$ is a tautology\\
$(S2): (q \Rightarrow p) \Rightarrow ((\sim p) \wedge q)$ is a contradiction\\
(1) Neither $(S1)$ and $(S2)$ is True\\
(2) Both $(S1)$ and $(S2)$ are True\\
(3) Only $(S2)$ is True\\
(4) Only $(S1)$ is True