JEE Main 2022 · 26 Jul · Shift 1 · Mathematics Q20

MathematicsSingle correct+4 / -1Question 20 of 90

The statement $(\sim(p\Leftrightarrow\sim q))\wedge q$ is :

a tautology

a contradiction

equivalent to

(p\Rightarrow q)\wedge q

equivalent to

(p\Rightarrow q)\wedge p

Answer and worked solution

Official answer: D

Simplify. $\sim(p\Leftrightarrow\sim q)\equiv(p\Leftrightarrow q)$ ; with $q$ it is $p\wedge q$ , which equals $(p\Rightarrow q)\wedge p$ .

(D)

Topics:Mathematical reasoning

JEE Main 2022 · 26 Jul · Shift 1, Mathematics question 20