jee-main 2023 Q68

jee-main · India · session2_15apr_shift1 Proof True/False Justification
Negation of $p \wedge ( q \wedge \sim ( p \wedge q ) )$ is
(1) $( \sim ( p \wedge q ) ) \vee p$
(2) $p \vee q$
(3) $\sim ( p \vee q )$
(4) $( \sim ( p \wedge q ) ) \wedge q$
Negation of $p \wedge ( q \wedge \sim ( p \wedge q ) )$ is\\
(1) $( \sim ( p \wedge q ) ) \vee p$\\
(2) $p \vee q$\\
(3) $\sim ( p \vee q )$\\
(4) $( \sim ( p \wedge q ) ) \wedge q$