JEE Main 2022 · 25 Jun · Shift 2 · Mathematics Q17

MathematicsSingle correct+4 / -1Question 17 of 90

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

p\Rightarrow q

q\Rightarrow p

\sim(p\Rightarrow q)

\sim(q\Rightarrow p)

Answer and worked solution

Official answer: C

Simplify. $((\sim q)\wedge p)\Rightarrow((\sim p)\vee q)\equiv\sim(p\wedge\sim q)\vee(\sim p\vee q)\equiv\sim p\vee q\equiv p\Rightarrow q$ .

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

(C)

Topics:Mathematical reasoning

JEE Main 2022 · 25 Jun · Shift 2, Mathematics question 17