jee-main 2020 Q57

jee-main · India · session1_08jan_shift2 Proof True/False Justification
Which of the following statement is a tautology?
(1) $p \vee (\sim q) \rightarrow p \wedge q$
(2) $\sim(p \wedge \sim q) \rightarrow p \vee q$
(3) $\sim(p \vee \sim q) \rightarrow p \wedge q$
(4) $\sim(p \vee \sim q) \rightarrow p \vee q$
Which of the following statement is a tautology?\\
(1) $p \vee (\sim q) \rightarrow p \wedge q$\\
(2) $\sim(p \wedge \sim q) \rightarrow p \vee q$\\
(3) $\sim(p \vee \sim q) \rightarrow p \wedge q$\\
(4) $\sim(p \vee \sim q) \rightarrow p \vee q$