JEE PYQ: Mathematical Reasoning Question 3
Question 3 - 2021 (17 Mar Shift 2)
If the Boolean expression $(p \wedge q) \circledast (p \otimes q)$ is a tautology, then $\circledast$ and $\otimes$ are respectively given by
(1) $\to, \to$
(2) $\wedge, \vee$
(3) $\vee, \to$
(4) $\wedge, \to$
Type: MCQ
Show Answer
Answer: (1)
Solution
Option (1): $(p \wedge q) \to (p \to q) = \sim(p \wedge q) \vee (\sim p \vee q) = (\sim p \vee \sim q) \vee (\sim p \vee q) = \sim p \vee (\sim q \vee q) = \sim p \vee t = t$ (tautology)
BETA
