Mathematical Reasoning: The negation of the Boolean expression ((sim q)wedge… | JEE Main 2022

JEE Main 2022 (Online) 25th June Evening ShiftQuestion 1

The negation of the Boolean expression $((\sim q)\wedge p)\Rightarrow((\sim p)\vee q)$ is logically equivalent to :

Mathematical Reasoning

$p\Rightarrow q$$q\Rightarrow p$$\sim(p\Rightarrow q)$✓ Correct answer$\sim(q\Rightarrow p)$

Solution

Negation $=(\sim q\wedge p)\wedge(p\wedge\sim q)=p\wedge\sim q=\sim(p\Rightarrow q)$.

Mathematical Reasoning - JEE Mathematics question (JEE Main 2022 (Online) 25th June Evening Shift)