Home » Medium Riddles » Large as a mountain, small as a pea, Endlessly swimming in a waterless sea. What am I?

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In the early 1900’s in England, there was two towns: town A and town B, and there was a huge river in between them. The only way across to each town was by a long bridge with a guard post in the middle. It took 20 minutes to cross the bridge from one side to the other and 10 minutes each way from the guards tower. There were no hiding spots on the bridge so people couldn’t sneak past, and the guard comes out every 5 minutes or so to check to see if anyone is trying to cross. The guards tower was placed because of a law that stated that no one was aloud to leave their own town into the other because of political reasons and anyone who was caught by the guard would be fined and told to turn back. Many people have tried to cross but have always been caught, even very fast runners have only able to make it past the guards tower before being caught. But one night someone was able to make it across….How did they do it?

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There are 100 light bulbs lined up in a row in a long room. Each bulb has its own switch and is currently switched off. The room has an entry door and an exit door. There are 100 people lined up outside the entry door. Each bulb is numbered consecutively from 1 to 100. So is each person. Person No. 1 enters the room, switches on every bulb, and exits. Person No. 2 enters and flips the switch on every second bulb (turning off bulbs 2, 4, 6, …). Person No. 3 enters and flips the switch on every third bulb (changing the state on bulbs 3, 6, 9, …). This continues until all 100 people have passed through the room. What is the final state of bulb No. 64? And how many of the light bulbs are illuminated after the 100th person has passed through the room?

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