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# Can someone help me with this, - If the Boolean expressionis equivalent to, where, then the ordered pairis: - Mathematical reasoning - JEE Main

If the Boolean expression $(p\oplus q) \wedge (\sim p \odot q)$ is equivalent to $p \wedge q$ , where  $\oplus, \odot \in \{ \wedge, \vee\}$, then the ordered pair $(\oplus, \odot)$ is:

• Option 1)

$(\wedge, \vee)$

• Option 2)

$(\vee,\vee)$

• Option 3)

$(\vee, \wedge)$

• Option 4)

$(\wedge,\wedge)$

Views

Truth value of "And" Conjuction -

The statement $p\wedge q$ has the truth value T whenever both p and q have the truth value T.

-

Truth Value of Disjunction "OR" -

The statement p$\vee$q has the truth value F if both p and q have the truth value F.

-

Negation of a Statement -

Negation is a connective although it doesn't combine two or more statements

-

Make truth table.

 P q $\sim p$ $p\wedge q$ $p\vee q$ $\sim p\vee q$ $\sim p\wedge q$ $\left ( p\wedge q \right )\wedge\left ( \sim p\vee q \right )$ T T F T T T F T T F F F T F F F F T T F T T T F F F T F F T F F

Option 1)

$(\wedge, \vee)$

Option 2)

$(\vee,\vee)$

Option 3)

$(\vee, \wedge)$

Option 4)

$(\wedge,\wedge)$

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