JEE PYQ: Mathematical Reasoning Question 42
Question 42 - 2019 (12 Jan Shift 2)
The Boolean expression $((p \wedge q) \vee (p \vee \sim q)) \wedge (\sim p \wedge \sim q)$ is equivalent to:
(1) $p \wedge q$
(2) $p \wedge (\sim q)$
(3) $(\sim p) \wedge (\sim q)$
(4) $p \vee (\sim q)$
Type: MCQ
Show Answer
Answer: (3)
Solution
$((p \wedge q) \vee (p \vee \sim q)) \wedge (\sim p \wedge \sim q) = (p \vee \sim q) \wedge (\sim p \wedge \sim q) = ((p \wedge \sim p) \vee (\sim q \wedge \sim p)) \wedge \sim q = (\sim p \wedge \sim q) \wedge \sim q = (\sim p) \wedge (\sim q)$
BETA
