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MHT CET202525 Apr 2025Evening ShiftMathematicsMathematical ReasoningActual

If p The switch S ₁ is closed, q The switch S ₂ is closed, r switch S₃ is closed, then symbolic form of following switching circuit is equivalent to

Options

  1. Ap
  2. Bq
  3. Cp q
  4. Dp q

Correct answer

A. p

Step-by-step solution

Representing switch states as propositions: p for "The switch S1 is closed", q for "The switch S2 is closed", and r for "The switch S3 is closed". In switching algebra, series connections correspond to logical AND and parallel connections to logical OR, while an open switch S^ corresponds to the negation of the proposition for the closed switch. The circuit has two parallel branches. The upper branch consists of S1 in series with the parallel combination of S2 and S3, represented as p (q r) . The lower branch is a

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