JEE PYQ: Mathematical Reasoning Question 29
Question 29 - 2019 (09 Apr Shift 1)
For any two statements $p$ and $q$, the negation of the expression $p \vee (\sim p \wedge q)$ is:
(1) $\sim p \wedge \sim q$
(2) $p \wedge q$
(3) $p \leftrightarrow q$
(4) $\sim p \vee \sim q$
Type: MCQ
Show Answer
Answer: (1)
Solution
$\sim(p \vee (\sim p \wedge q)) = (\sim q \vee p) \wedge \sim p = (\sim q \wedge \sim p) \vee (p \wedge \sim p) = \sim p \wedge \sim q$
BETA
