jee-main 2020 Q61

jee-main · India · session2_02sep_shift2 Proof True/False Justification

Which of the following is a tautology?
(1) $( \sim p ) \wedge ( p \vee q ) \rightarrow q$
(2) $( q \rightarrow p ) \vee \sim ( p \rightarrow q )$
(3) $( \sim q ) \vee ( p \wedge q ) \rightarrow q$
(4) $( p \rightarrow q ) \wedge ( q \rightarrow p )$

Which of the following is a tautology?\\
(1) $( \sim p ) \wedge ( p \vee q ) \rightarrow q$\\
(2) $( q \rightarrow p ) \vee \sim ( p \rightarrow q )$\\
(3) $( \sim q ) \vee ( p \wedge q ) \rightarrow q$\\
(4) $( p \rightarrow q ) \wedge ( q \rightarrow p )$

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