Question

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

Answer 1

Answer: (D)

$p \equiv$ Ramesh listens to music
$\sim q \equiv He$ is in village.
$r \vee s \equiv$ Saturday or sunday
$p \Rightarrow((\sim q ) \wedge( r \vee s ))$