JEE PYQ: Mathematical Reasoning Question 2
Question 2 - 2021 (17 Mar Shift 1)
If the Boolean expression $(p \Rightarrow q) \Leftrightarrow (q * (\sim p))$ is a tautology, then the Boolean expression $p * (\sim q)$ is equivalent to
(1) $q \Rightarrow p$
(2) $\sim q \Rightarrow p$
(3) $p \Rightarrow \sim q$
(4) $p \Rightarrow q$
Type: MCQ
Show Answer
Answer: (1)
Solution
$\because p \to q \equiv \sim p \vee q$
So, $* \equiv \vee$
Thus, $p * (\sim q) \equiv p \vee (\sim q) \equiv q \to p$
BETA
