JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Let

p

and

q

denote the following statements

p:

The sun is shining

q

: I shall play tennis in the afternoon The negation of the statement "If the sun is shining then I shall play tennis in the afternoon", is

View answer and explanation

Correct option: C

p \wedge \sim q

Option C (

p \wedge \sim q

) is correct because it represents the negation of the given conditional statement.

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p:A

q:A

\sqrt{3}

p

q

p \rightarrow q

{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