jee-main 2019 Q75

jee-main · India · session1_09jan_shift2 Not Maths
The logical statement $[\sim(\sim p \vee q) \vee (p \wedge r)] \wedge (\sim q \wedge r)$ is equivalent to
(1) $(\sim p \wedge \sim q) \wedge r$
(2) $(p \wedge r) \wedge \sim q$
(3) $(p \wedge \sim q) \vee r$
(4) $\sim p \vee r$
The logical statement $[\sim(\sim p \vee q) \vee (p \wedge r)] \wedge (\sim q \wedge r)$ is equivalent to\\
(1) $(\sim p \wedge \sim q) \wedge r$\\
(2) $(p \wedge r) \wedge \sim q$\\
(3) $(p \wedge \sim q) \vee r$\\
(4) $\sim p \vee r$