JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

1 Hard

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Analyzing +4 | -1

The number of choices for

\Delta \in \left\{ { \wedge , \vee , \Rightarrow , \Leftrightarrow } \right\},

such that

\left( {p\Delta q} \right) \Rightarrow \left( {\left( {p\Delta \sim q} \right) \vee \left( {\left( { \sim p} \right)\Delta q} \right)} \right)

is a tautology, is

View answer and explanation

Correct option: B

The correct answer is 2 because only two logical connectives,

\vee

and

\Rightarrow

, result in a tautology when substituted for

\Delta

in the given expression.

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

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