MHT CET202618 April 2026Evening ShiftMathematicsMathematical ReasoningActual
In a switching circuit, if the combination (S₁ S₂) is connected in parallel to the combination (S₁' S₂') , then the room is lit only when
Options
- AS₁ is ON and S₂ is OFF
- BS₁ is OFF and S₂ is ON
- CS₁ and S₂ both ON or S₁ and S₂ both OFF
- DThe room is always lit.
Correct answer
C. S₁ and S₂ both ON or S₁ and S₂ both OFF
Step-by-step solution
The boolean expression for the given switching circuit is (S₁ S₂) (S₁' S₂') . Let p and q represent the truth values of switches S₁ and S₂ respectively. The room is lit when the expression (p q) ( p q) evaluates to True. This expression is True if and only if both p and q are True, or both p and q are False. Thus, the room is lit only when S₁ and S₂ are both ON, or S₁ and S₂ are both OFF. Answer: S₁ and S₂ both ON or S₁ and S₂ both OFF