JEE PYQ: Mathematical Reasoning Question 34
Question 34 - 2019 (12 Apr Shift 2)
The Boolean expression $\sim(p \Rightarrow (\sim q))$ is equivalent to:
(1) $p \wedge q$
(2) $q \Rightarrow \sim p$
(3) $p \vee q$
(4) $(\sim p) \Rightarrow q$
Type: MCQ
Show Answer
Answer: (1)
Solution
$\sim(p \Rightarrow (\sim q)) = \sim((\sim p) \vee (\sim q)) = p \wedge q$