JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Let

p

: Ramesh listens to music.

q:

Ramesh is out of his village.

r

: It is Sunday.

s

: It is Saturday.

Then the statement "Ramesh listens to music only if he is in his village and it is Sunday or Saturday" can be expressed as

View answer and explanation

Correct option: D

p \Rightarrow((\sim q) \wedge(r \vee s)

Option D (

p \Rightarrow((\sim q) \wedge(r \vee s)

) is correct because it accurately translates the given statement into logical notation.

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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