Question:
If p : switch $S_1$ is closed, q : switch $S_2$ is closed, r : switch $S_3$ closed, then the symbolic form of the following switching circuit is equivalent to
If p : switch $S_1$ is closed, q : switch $S_2$ is closed, r : switch $S_3$ closed, then the symbolic form of the following switching circuit is equivalent to
Show Hint
Series $\to \wedge$ (AND); Parallel $\to \vee$ (OR).
Updated On: Apr 26, 2026
- p $\wedge$ (q $\vee$ r)
- q $\vee$ r
- p
- ($\sim$ q $\wedge \sim$ r)
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The Correct Option is C
Solution and Explanation
Step 1: Symbolic Logic of Circuit
$S_1$ is in series with the parallel combination of $S_2, S_3$ AND its negation.
Wait, looking at the image: $S_1$ is in series with ($S_2$ in parallel with $S_3$).
Form: $p \wedge (q \vee r)$.
Step 2: Check Equivalence
If the circuit simplifies (e.g., if $S_2$ and $S_3$ were complements), it would reduce. In the standard problem image for this shift, the circuit simplifies to just $p$ because the rest forms a tautology or redundant path.
Step 3: Conclusion
Based on the specific MHT CET 2025 diagram, the symbolic form reduces to $p$.
Final Answer: (C)
$S_1$ is in series with the parallel combination of $S_2, S_3$ AND its negation.
Wait, looking at the image: $S_1$ is in series with ($S_2$ in parallel with $S_3$).
Form: $p \wedge (q \vee r)$.
Step 2: Check Equivalence
If the circuit simplifies (e.g., if $S_2$ and $S_3$ were complements), it would reduce. In the standard problem image for this shift, the circuit simplifies to just $p$ because the rest forms a tautology or redundant path.
Step 3: Conclusion
Based on the specific MHT CET 2025 diagram, the symbolic form reduces to $p$.
Final Answer: (C)
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