jee-main 2020 Q59

jee-main · India · session2_03sep_shift1 Proof Direct Proof of a Stated Identity or Equality
The proposition $p \rightarrow \sim ( p \wedge \sim q )$ is equivalent to:
(1) $q$
(2) $( \sim p ) \vee q$
(3) $( \sim p ) \wedge q$
(4) $( \sim p ) \vee ( \sim q )$
The proposition $p \rightarrow \sim ( p \wedge \sim q )$ is equivalent to:

(1) $q$\\
(2) $( \sim p ) \vee q$\\
(3) $( \sim p ) \wedge q$\\
(4) $( \sim p ) \vee ( \sim q )$