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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

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

$((~ q) \land (r \lor s)) \Rightarrow p$

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

$p \Rightarrow ((~ q) \land (r \lor s))$

answer is D.

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Detailed Solution

$p \equiv R a m e s h l i s t e n s t o m u s i c, ~ q \equiv H e i s i n v i l l a g e . a n d r \lor s \equiv S a t u r d a y o r s u n d a y ∴ p \Rightarrow ((~ q) \land (r \lor s))$

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