JEE Main 2022 · 28 Jul · Shift 2 · Mathematics Q80

MathematicsSingle correct+4 / -1Question 80 of 90

Let

p : Ramesh listens to music.

q : Ramesh is out of his village.

r : It is Sunday.

s : It is Saturday.

Then the statement "Ramesh listens to music only if he is in his village and it is Sunday or Saturday" can be expressed as

((\sim q)\wedge(r\vee s))\Rightarrow p

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

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

p\Rightarrow((\sim q)\wedge(r\vee s))

Answer and worked solution

Official answer: D

"p only if Q" is $p\Rightarrow Q$ , with Q = in the village ( $\sim q$ ) and Sunday or Saturday.

(D)

Topics:Mathematical reasoning

JEE Main 2022 · 28 Jul · Shift 2, Mathematics question 80