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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

1. ((~q) ∧ (r ∨ s)) ⇒ p
2. (q ∧ (r ∨ s)) ⇒ p
3. p ⇒ (q ∧ (r ∨ s))
4. p ⇒ ((~q) ∧ (r ∨ s))

Correct answer: p ⇒ ((~q) ∧ (r ∨ s))

Solution

The correct option states that Ramesh listens to music (p) only when he is not out of his village (~q) and it is either Sunday (r) or Saturday (s). This captures the conditional relationship where listening to music is dependent on both being in his village and the day being either Sunday or Saturday.

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