JEE PYQ: Mathematical Reasoning Question 18
Question 18 - 2020 (05 Sep Shift 2)
The statement $(p \to (q \to p)) \to (p \to (p \vee q))$ is:
(1) equivalent to $(p \wedge q) \vee (\sim q)$
(2) a contradiction
(3) equivalent to $(p \vee q) \wedge (\sim p)$
(4) a tautology
Type: MCQ
Show Answer
Answer: (4)
Solution
The truth table of $(p \to (q \to p)) \to (p \to (p \vee q))$ is always T. Hence, the statement is tautology.