Logical Puzzles
Medium
3 min
Three switches are outside a closed room. Inside the room is one light bulb. Only one switch controls the bulb. You may manipulate the switches as much as you want, but you may enter the room only once. How can you identify the correct switch?
Hint
The bulb gives information through both light and heat.
Answer
Turn switch 1 on for several minutes, then turn it off. Turn switch 2 on and enter the room. If the bulb is on, switch 2 controls it. If it is off but warm, switch 1 controls it. If it is off and cool, switch 3 controls it.
Explanation
The bulb provides two observable states besides being lit: warm or cool.
Step-by-Step Solution
1. Turn switch 1 ON.
2. Wait several minutes.
3. Turn switch 1 OFF.
4. Turn switch 2 ON.
5. Enter the room.
6. If the bulb is ON, switch 2 controls it.
7. If the bulb is OFF but warm, switch 1 controls it.
8. If the bulb is OFF and cool, switch 3 controls it.
2. Wait several minutes.
3. Turn switch 1 OFF.
4. Turn switch 2 ON.
5. Enter the room.
6. If the bulb is ON, switch 2 controls it.
7. If the bulb is OFF but warm, switch 1 controls it.
8. If the bulb is OFF and cool, switch 3 controls it.