If the symbolic form of the switching circuit is $[\sim p \vee (p \wedge \sim q)] \vee q$,then the current flows through the circuit only if
- Airrespective of the status of the switches
- Bone switch should be open and the other should be closed
- Cboth switches should be closed
- Dboth switches should be open
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Similar Questions
Are the following pairs of statements negations of each other:
$1$. The number $x$ is a rational number.
$2$. The number $x$ is an irrational number.
$1$. The number $x$ is a rational number.
$2$. The number $x$ is an irrational number.
Easy
View SolutionThe statement $(p \wedge (\sim q)) \vee ((\sim p) \wedge q) \vee ((\sim p) \wedge (\sim q))$ is equivalent to
DifficultJEE MAIN 2023
View SolutionWrite the contrapositive and converse of the following statement:
$x$ is an even number implies that $x$ is divisible by $4.$
$x$ is an even number implies that $x$ is divisible by $4.$
Easy
View SolutionThe Boolean expression $\sim(p \vee q) \vee (\sim p \wedge q)$ is equivalent to:
The correct logical equivalences from the following are: $(I)$ $p \to (q \to r) \equiv (p \land q) \to r$ $(II)$ $(p \to q) \to r \equiv p \to (q \lor r)$ $(III)$ $(p \to q) \to r \equiv (p \to r) \land (\sim q \to r)$ $(IV)$ $p \to (q \to r) \equiv q \to (p \to r)$
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