JEE PYQ: Mathematical Reasoning Question 6
Question 6 - 2021 (24 Feb Shift 2)
The negation of the statement $\sim p \wedge (p \vee q)$ is:
(1) $\sim p \wedge q$
(2) $p \wedge \sim q$
(3) $\sim p \vee q$
(4) $p \vee \sim q$
Type: MCQ
Show Answer
Answer: (4)
Solution
$\sim p \wedge (p \vee q) \equiv p \vee \sim q$. Negation: $p \vee \sim q$.