Switching Problem

Here is a light switch. Note the order of the positions. If the light is now at medium and it is switched 3922 times what will be the position of the switch?

switching problem

Answer

The switch will be in the off position.

After switching 4 times, the switch will return to its original position. So,
3922 / 4 = 980 with remainder 2.

The switch will be at medium position after switching 3920 times, and at off position after another 2 switches.

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