JEE PYQ: Mathematical Reasoning Question 12
Question 12 - 2020 (02 Sep Shift 2)
Which of the following is a tautology?
(1) $(\sim p) \wedge (p \vee q) \to q$
(2) $(q \to p) \vee \sim(p \to q)$
(3) $(\sim q) \vee (p \wedge q) \to q$
(4) $(p \to q) \wedge (q \to p)$
Type: MCQ
Show Answer
Answer: (1)
Solution
Truth table shows $(\sim p) \wedge (p \vee q) \to q$ is a tautology. Other options are not tautologies.