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
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Let $\Delta, \nabla \in\{\wedge, \vee\}$ be such that $( p \rightarrow q ) \Delta( p \nabla q )$ is a tautology. Then
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Which Venn diagram represent the truth of the statements “No child is naughty”
Where $U$ = Universal set of human beings, $C$ = Set of children, $N$ = Set of naughty persons
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Statement$-II :$ $p\rightarrow (p\rightarrow q)$ is a tautology.
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The statement $[(p \wedge q) \rightarrow p] \rightarrow (q \wedge \sim q)$ is
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