Logic Riddles

Question: You have a bag with 'N' strings in it. You randomly grab two ends and tie them together until there are no more loose ends.

In the end, what is the expected number of loops (strings tied to their own end)?

Question: What grows when you take from it?

Question: Alex was the strongest man in the world. He can lift up something that weighs 1000 kg easily. He can even pick up five women at once without any pain. But one day, there was a Weight Lifting Challenge Show. All the top 5 strongest man entered including Alex. The challenge is that they each have to lift up a really heavy object which weighs 1005 kg for five minutes. The winner is who didn’t drop it until it reached the time. If they all did it, the judges will decide to give first place to a person who can lift it up easily and stand still with no trouble looking. If Alex was the strongest man, he’ll probably come first. But he came second instead when the challenge was over. Why?

Question: Two men were on a ship. They were both facing opposite directions, one facing east and the other facing west. But, they were both seeing each other. *WITHOUT MIRRORS* How is this possible?

Question: There is a basket full of hats. 3 of them are white and 2 of them are black. There are 3 men Tom, Tim, and Jim. They each take a hat out of the basket and put it on their heads without seeing the hat they selected or the hats the other men selected. The men arrange themselves so Tom can see Tim and Jim's hats, Tim can see Jim's hat, and Jim can't see anyone's hat.

Tom is asked what color his hat is and he says he doesn't know.
Tim is asked the same question, and he also doesn't know.
Finally, Jim is asked the question, and he does know.

What color is his hat?