JEE Main 2022 · 29 Jul · Shift 1 · Mathematics Q12

MathematicsSingle correct+4 / -1Question 12 of 90

The statement $(p\wedge q)\Rightarrow(p\wedge r)$ is equivalent to :

q\Rightarrow(p\wedge r)

p\Rightarrow(p\wedge r)

(p\wedge r)\Rightarrow(p\wedge q)

(p\wedge q)\Rightarrow r

Answer and worked solution

Official answer: D

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

(D)

Topics:Mathematical reasoning

JEE Main 2022 · 29 Jul · Shift 1, Mathematics question 12