Negation of the statement : - $\sqrt{5}$ is an integer or $5$ is irrational is
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
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
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The negation of the statement $(( A \wedge( B \vee C )) \Rightarrow( A \vee B )) \Rightarrow A$ is
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- [JEE MAIN 2023]
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:
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
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The statement $\sim[p \vee(\sim(p \wedge q))]$ is equivalent to
The statement $\sim[p \vee(\sim(p \wedge q))]$ is equivalent to
- [JEE MAIN 2023]