JEE Main 2022 · 28 Jul · Shift 1 · Mathematics Q5

MathematicsSingle correct+4 / -1Question 5 of 90

Let the operations $*,\odot\in\{\wedge,\vee\}$ . If $(p*q)\odot(p\odot\sim q)$ is a tautology, then the ordered pair $(*,\odot)$ is :

(\vee,\wedge)

(\vee,\vee)

(\wedge,\wedge)

(\wedge,\vee)

Answer and worked solution

Official answer: B

$(p\vee q)\vee(p\vee\sim q)$ contains $q\vee\sim q$ , so it is a tautology. The other three choices fail for some truth values.

(B)

Topics:Mathematical reasoning

JEE Main 2022 · 28 Jul · Shift 1, Mathematics question 5