JEE Main 2022 · 25 Jul · Shift 1 · Mathematics Q20

MathematicsSingle correct+4 / -1Question 20 of 90

Which of the following statements is a tautology ?

((\sim p)\vee q)\Rightarrow p

p\Rightarrow((\sim p)\vee q)

((\sim p)\vee q)\Rightarrow q

q\Rightarrow((\sim p)\vee q)

Answer and worked solution

Official answer: D

Check. $q\Rightarrow(\sim p\vee q)$ : whenever q is true, so is the disjunction. Tautology.

(D)

Topics:Mathematical reasoning

JEE Main 2022 · 25 Jul · Shift 1, Mathematics question 20