JEE PYQ: Mathematical Reasoning Question 31
Question 31 - 2019 (10 Apr Shift 1)
Which one of the following Boolean expressions is a tautology?
(1) $(p \wedge q) \vee (p \wedge \sim q)$
(2) $(p \vee q) \vee (p \vee \sim q)$
(3) $(p \vee q) \wedge (p \vee \sim q)$
(4) $(p \vee q) \wedge (\sim p \vee \sim q)$
Type: MCQ
Show Answer
Answer: (2)
Solution
$(p \vee q) \vee (p \vee \sim q) = p \vee (q \vee \sim q) = p \vee T = T$