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.
$(\sim q) \wedge(r \vee s)) \Rightarrow p$
$(q \wedge(r \vee s)) \Rightarrow p$
$p \Rightarrow(q \wedge(r \vee s))$
$p \Rightarrow((\sim q ) \wedge( r \vee s ))$
Statement $\quad(P \Rightarrow Q) \wedge(R \Rightarrow Q)$ is logically equivalent to
Which of the following statement is true
The false statement in the following is
The negation of the Boolean expression $x \leftrightarrow \sim y$ is equivalent to
The contrapositive of the statement “If you are born in India, then you are a citizen of India”, is