JEE Main 2022 · 27 Jun · Shift 1 · Mathematics Q20

MathematicsSingle correct+4 / -1Question 20 of 90

The boolean expression $(\sim(p\wedge q))\vee q$ is equivalent to :

q\rightarrow(p\wedge q)

p\rightarrow q

p\rightarrow(p\rightarrow q)

p\rightarrow(p\vee q)

Answer and worked solution

Official answer: D

Simplify. $\sim(p\wedge q)\vee q\equiv\sim p\vee\sim q\vee q$ , a tautology.

Match. $p\rightarrow(p\vee q)$ is also a tautology; the others are not.

(D)

Topics:Mathematical reasoning

JEE Main 2022 · 27 Jun · Shift 1, Mathematics question 20