JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Let

\mathrm{p}, \mathrm{q}, \mathrm{r}

denote arbitrary statements. Then the logically equivalent of the statement

p \Rightarrow(q \vee r)

is:

View answer and explanation

Correct option: B

(p \Rightarrow q) \vee(p \Rightarrow r)

Option B (

(p \Rightarrow q) \vee(p \Rightarrow r)

) is correct because it represents the logically equivalent form of the given statement using implication and disjunction.

More Questions from MATHEMATICAL REASONING

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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