JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Suppose

p

: A natural number

n

is odd and

q:

Natural number

n

is not divisible by 2 , then the biconditional statement

p \Leftrightarrow q

View answer and explanation

Correct option: B

a natural number

n

is odd, if and only if it is not divisible by 2

Option B (a natural number

n

is odd, if and only if it is not divisible by 2) correctly represents the biconditional statement

p \Leftrightarrow q

based on the given definitions of

p

and

q

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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)