The statement $( p \wedge q ) \Rightarrow( p \wedge r )$ is equivalent to.

  • [JEE MAIN 2022]
  • A

    $q \Rightarrow(p \wedge r)$

  • B

    $p \Rightarrow( p \wedge r )$

  • C

    $( p \wedge r ) \Rightarrow( p \wedge q )$

  • D

    $(p \wedge q) \Rightarrow r$

Similar Questions

Which of the following is not logically equivalent to the proposition : “A real number is either rational or irrational”.

Statement$-I :$  $\sim (p\leftrightarrow q)$ is equivalent to $(p\wedge \sim  q)\vee \sim  (p\vee \sim  q) .$
Statement$-II :$  $p\rightarrow (p\rightarrow q)$ is a tautology.

The proposition $p \Rightarrow \;\sim (p\; \wedge \sim \,q)$ is

Which of the following statement is true

Negation of “Ram is in Class $X$ or Rashmi is in Class $XII$” is