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

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The statement $(p \Rightarrow q) \vee(p \Rightarrow r)$ is NOT equivalent to.

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The proposition $\left( { \sim p} \right) \vee \left( {p\, \wedge  \sim q} \right)$

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The false statement in the following is

$(p\; \wedge \sim q) \wedge (\sim p \vee q)$ is