Negation of the statement : - $\sqrt{5}$ is an integer or $5$ is irrational is

  • [JEE MAIN 2020]
  • A

    $\sqrt{5}$ is an integer or $5$ is irrational is

  • B

    $\sqrt{5}$ is not an integer and $5$ is not irrational

  • C

    $\sqrt{5}$ is an integer and $5$ is irrational

  • D

    $\sqrt{5}$ is not an integer or $5$ is not irrational

Similar Questions

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

  • [JEE MAIN 2022]

$\sim p \wedge q$ is logically equivalent to

$\sim (p \vee q) \vee (~ p \wedge q)$ is logically equivalent to

Statement $-1$ : $ \sim \left( {p \leftrightarrow \, \sim q} \right)$ is equivalent to $p \leftrightarrow q$

Statement $-2$ : $ \sim \left( {p \leftrightarrow \, \sim q} \right)$ is a tautology.

The negation of the statement

"If I become a teacher, then I will open a school", is

  • [AIEEE 2012]