The number of ordered triplets of the truth values of $p, q$ and $r$ such that the truth value of the statement $(p \vee q) \wedge(p \vee r) \Rightarrow(q \vee r)$ is True, is equal to

  • [JEE MAIN 2023]
  • A

    $6$

  • B

    $7$

  • C

    $5$

  • D

    $4$

Similar Questions

The negation of the Boolean expression $p \vee(\sim p \wedge q )$ is equivalent to

  • [JEE MAIN 2020]

Which Venn diagram represent the truth of the statement“All students are hard working.”

Where $U$ = Universal set of human being, $S$ = Set of all students, $H$ = Set of all hard workers.

If $p \to ( \sim p\,\, \vee \, \sim q)$ is false, then the truth values of  $p$ and  $q$ are respectively .

  • [JEE MAIN 2018]

The contrapositive of the statement "I go to school if it does not rain" is

  • [JEE MAIN 2014]

If statement $(p \rightarrow q) \rightarrow (q \rightarrow r)$ is false, then truth values of statements $p,q,r$ respectively, can be-