jee-main 2020 Q60

jee-main · India · session2_05sep_shift2 Proof True/False Justification

The statement $(p \rightarrow (q \rightarrow p)) \rightarrow (p \rightarrow (p \vee q))$ is:
(1) equivalent to $(p \wedge q) \vee (\sim q)$
(2) a contradiction
(3) equivalent to $(p \vee q) \wedge (\sim p)$
(4) a tautology

The statement $(p \rightarrow (q \rightarrow p)) \rightarrow (p \rightarrow (p \vee q))$ is:\\
(1) equivalent to $(p \wedge q) \vee (\sim q)$\\
(2) a contradiction\\
(3) equivalent to $(p \vee q) \wedge (\sim p)$\\
(4) a tautology

Paper Questions

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