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.

  • [JEE MAIN 2022]
  • 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

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

Similar Questions

Statement $\quad(P \Rightarrow Q) \wedge(R \Rightarrow Q)$ is logically equivalent to

  • [JEE MAIN 2023]

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 

  • [JEE MAIN 2020]

The contrapositive of the statement “If you are born in India, then you are a citizen of India”, is

  • [JEE MAIN 2019]