JEE PYQ: Mathematical Reasoning Question 36
Question 36 - 2019 (09 Jan Shift 2)
The logical statement $[\sim(\sim p \vee q) \vee (p \wedge r)] \wedge (\sim p \wedge r)$ is equivalent to:
(1) $(\sim p \wedge \sim q) \wedge r$
(2) $\sim p \vee r$
(3) $(p \wedge r) \wedge \sim q$
(4) $(p \wedge \sim q) \vee r$
Type: MCQ
Show Answer
Answer: (3)
Solution
$[\sim(\sim p \vee q) \vee (p \wedge r)] \wedge (\sim q \wedge r) = [(p \wedge \sim q) \vee (p \wedge r)] \wedge (\sim q \wedge r) = (p \wedge \sim q \wedge r) \vee (p \wedge r \wedge \sim q) = (p \wedge r) \wedge \sim q$
BETA
