JEE Main · 2022 · 28 Jul 2022 · Shift 2 · Mathematical Reasoning *

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

(A) $((\sim q) \land (r \lor s)) \Rightarrow p$
(B) $(q \land (r \lor s)) \Rightarrow p$
(C) $p \Rightarrow (q \land (r \lor s))$
(D) $p \Rightarrow ((\sim q) \land (r \lor s))$ ✓ Correct

Answer: (D)

Solution

The statement "Ramesh listens to music only if he is in his village and it is Sunday or Saturday" means: if Ramesh listens to music (p), then he is in his village (

\sim q

) AND it is Sunday or Saturday (

r \lor s

). The logical form is

p \Rightarrow ((\sim q) \land (r \lor s))

JEE Main · 2022 · 28 Jul 2022 · Shift 2 · Single correct option

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JEE Main · 2022 · 28 Jul 2022 · Shift 2 · Mathematical Reasoning *

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