JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Negation of the statement :

\sqrt 5

is an integer or 5 is an irrational is

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Correct option: D

\sqrt 5

is not an integer and 5 is not irrational

Option D (

\sqrt 5

is not an integer and 5 is not irrational) is correct because it represents the negation of the given statement using De Morgan's Law.

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p:A

q:A

\sqrt{3}

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{F_1}(A,\,B,\,C) = \left( {A \wedge \sim B} \right) \vee \left[ { \sim C \wedge \left( {A \vee B} \right)} \right] \vee \sim A

{F_2}(A,\,B) = \left( {A \vee B} \right) \vee (B \to \, \sim \,A)

p

n

q:

n

p \Leftrightarrow q