Which of the following is a statement

  • A
    Open the door
  • B
    Do your homework
  • C
    Switch on the fan
  • D
    Two plus two is four

Similar Questions

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

  • [JEE MAIN 2022]

Contrapositive of the statement:

'If a function $f$ is differentiable at $a$, then it is also continuous at $a$', is

  • [JEE MAIN 2020]

Negation of the conditional : “If it rains, I shall go to school” is

$\left( {p \wedge  \sim q \wedge  \sim r} \right) \vee \left( { \sim p \wedge q \wedge  \sim r} \right) \vee \left( { \sim p \wedge  \sim q \wedge r} \right)$ is equivalent to-