JEE Main 2022 · 27 Jul · Shift 2 · Mathematics Q20

MathematicsSingle correct+4 / -1Question 20 of 90

If the truth value of the statement $(P\wedge(\sim R))\to((\sim R)\wedge Q)$ is F, then the truth value of which of the following is F ?

P\vee Q\to\sim R

R\vee Q\to\sim P

\sim(P\vee Q)\to\sim R

\sim(R\vee Q)\to\sim P

Answer and worked solution

Official answer: D

False implication means $P\wedge\sim R$ is T and $\sim R\wedge Q$ is F. So P = T, R = F, Q = F.

Check (D). $\sim(R\vee Q)$ is T and $\sim P$ is F, so the implication is F.

(D)

Topics:Mathematical reasoning

JEE Main 2022 · 27 Jul · Shift 2, Mathematics question 20