jee-main 2023 Q69

jee-main · India · session2_13apr_shift2 Proof Proof of Equivalence or Logical Relationship Between Conditions
The statement $( p \wedge ( \sim q ) ) \vee ( ( \sim p ) \wedge q ) \vee ( ( \sim p ) \wedge ( \sim q ) )$ is equivalent to
(1) $\sim p \vee q$
(2) $\sim p \vee \sim q$
(3) $p \vee \sim q$
(4) $p \vee q$
The statement $( p \wedge ( \sim q ) ) \vee ( ( \sim p ) \wedge q ) \vee ( ( \sim p ) \wedge ( \sim q ) )$ is equivalent to\\
(1) $\sim p \vee q$\\
(2) $\sim p \vee \sim q$\\
(3) $p \vee \sim q$\\
(4) $p \vee q$