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Mathematical Reasoning
medium
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
$(\sim q) \wedge(r \vee s)) \Rightarrow p$
B
$(q \wedge(r \vee s)) \Rightarrow p$
C
$p \Rightarrow(q \wedge(r \vee s))$
D
$p \Rightarrow((\sim q ) \wedge( r \vee s ))$
(JEE MAIN-2022)
Solution
$p \equiv$ Ramesh listens to music
$\sim q \equiv He$ is in village.
$r \vee s \equiv$ Saturday or sunday
$p \Rightarrow((\sim q ) \wedge( r \vee s ))$
Standard 11
Mathematics
