JEE PYQ: Mathematical Reasoning Question 19
Question 19 - 2020 (06 Sep Shift 1)
The negation of the Boolean expression $p \vee (\sim p \wedge q)$ is equivalent to:
(1) $p \wedge \sim q$
(2) $\sim p \wedge \sim q$
(3) $\sim p \vee \sim q$
(4) $\sim p \vee q$
Type: MCQ
Show Answer
Answer: (2)
Solution
$\sim(p \vee (\sim p \wedge q)) = \sim p \wedge \sim(\sim p \wedge q) = \sim p \wedge (p \vee \sim q) = (\sim p \wedge q) \vee (\sim p \wedge \sim q) = F \vee (\sim p \wedge \sim q) = \sim p \wedge \sim q$
BETA
