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Conditional Statements and Its Converse

Negation of ‘...

Question

Negation of ‘Azra is in class X or Diya is in class XII’ is ___.

Azra is not in class X or Diya is not in class XII

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Azra is not in class X and Diya is not in class XII

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If Azra is not in class X, then Diya is not in class XII

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Azra is in class X if and only if Diya is in class XII

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Solution

The correct option is B
Azra is not in class X and Diya is not in class XII

$\sim (p \lor q) =\sim p \land \sim q$
p: Azra is in class X
q: Diya is in class XII

$p \lor q$ : Azra is in class X or Diya is in class XII
$\sim p \land \sim q$ : Azra is not in class X and Diya is not in class XII

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