1. Jack is a farmer and owns some chickens. One day, he took a basket of fresh eggs to the market to sell. The first person bought half of all the eggs in the basket and half an egg. Then, the second person bought half of the remaining eggs and half an egg. Later, the third person bought half of the remaining eggs and half an egg. Now Jack's basket has only 1 egg left. If no eggs were broken in the process, how many eggs did he originally have in his basket?
2. Walking home one day, you take a short cut along the train tracks. The tracks cross a narrow bridge over a deep gorge. At the point you are 3/8 of the way across the bridge, you hear the train whistle somewhere behind you. You charge across the bridge, and jump off the track as the train is about to run you down. As it happens, if you had gone the other way, you would have reached safety just before being run over as well. If you can run ten miles per hour, how fast is the train moving?
3. Five hundred begins it, five hundred ends it, Five in the middle is seen; First of all figures, the first of all letters, Take up their stations between. Join all together, and then you will bring Before you the name of an eminent king.
4. You want to hire a temporary employee for one month. You offer him reasonable wages, but the employee suggests an alternative. For the first day of work, he will be paid a penny. For the second day, two pennies. For the third day, four pennies. The salary for each subsequent day will be double the previous day's, until the one month term is over. Ignoring the legalities of such a situation, would it be a good idea to accept the potential employee's proposal?
5. My only timepiece is a wall clock. One day I forgot to wind it and it stopped. I went to visit a friend who has a watch which is always correct, stayed a while, and then went home. There I made a simple calculation and set the clock right. How did I do this even though I had no watch on me to tell how long it took me to return from my friend's house?
(Don't google the answers, I will know if you do!)