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

Consider the following two propositions:

$P_1: \sim( p \rightarrow \sim q )$

$P_2:( p \wedge \sim q ) \wedge((\sim p ) \vee q )$

If the proposition $p \rightarrow((\sim p ) \vee q )$ is evaluated as $FALSE$, then

  • [JEE MAIN 2022]

The negation of the statement $(( A \wedge( B \vee C )) \Rightarrow( A \vee B )) \Rightarrow A$ is

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Consider the following statements:

$P$ : I have fever

$Q:$ I will not take medicine

$R$ : I will take rest

The statement "If I have fever, then I will take medicine and I will take rest" is equivalent to:

  • [JEE MAIN 2023]

The contrapositive of statement 'If Jaipur is capital of Rajasthan, then Jaipur is in India' is 

The statement $\sim[p \vee(\sim(p \wedge q))]$ is equivalent to

  • [JEE MAIN 2023]