JEE PYQ: Mathematical Reasoning Question 7
Question 7 - 2021 (24 Feb Shift 2)
For the statements $p$ and $q$, consider the following compound statements: (a) $(\sim q \wedge (p \to q)) \to \sim p$ (b) $((p \vee q) \wedge \sim P) \to P$ Then which of the following statements is correct?
(1) (a) is a tautology but not (b)
(2) (a) and (b) both are not tautologies
(3) (a) and (b) both are tautologies
(4) (b) is a tautology but not (a)
Type: MCQ
Show Answer
Answer: (3)
Solution
(a) is a tautology (truth table verification). (b) is a tautology (truth table verification).
Therefore, a & b are both tautologies.
BETA
