MHT CET202519 Apr 2025Evening ShiftMathematicsMathematical ReasoningActual
Which of the following are pairs of equivalent circuits
Options
- A(A) and (B)
- B(B) and (D)
- C(C) and (E)
- D(A) and (C)
Correct answer
D. (A) and (C)
Step-by-step solution
The lamp illuminates when the circuit path evaluates to logical '1'. The equivalence of circuits is determined by their simplified Boolean expressions, where series switches combine via AND and parallel via OR. Circuit (A): The top branch has S₁ and S₂ in series, and the bottom branch has S₁ and S₃ in series, with both branches in parallel. The expression is (S₁ S₂) + (S₁ S₃) , which simplifies to S₁ (S₂ + S₃) by the distributive property. Circuit (B): S₁ and S₂ are in parallel, giving S₁ + S₂ . Circuit (C): S₁ in