JEE PYQ: Mathematical Reasoning Question 24
Question 24 - 2020 (08 Jan Shift 2)
Which of the following statements is a tautology?
(1) $p \vee (\sim q) \to p \wedge q$
(2) $\sim(p \wedge \sim q) \to p \vee q$
(3) $\sim(p \vee \sim q) \to P \wedge q$
(4) $\sim(p \vee \sim q) \to p \vee q$
Type: MCQ
Show Answer
Answer: (4)
Solution
$(\sim p \wedge q) \to (p \vee q) \Rightarrow \sim{(\sim p \wedge q) \wedge (\sim p \wedge \sim q)} \Rightarrow \sim{\sim p \wedge f} = t$