1. You have a 100 story building and two eggs. These are especially strong eggs. There is some floor below which the egg will not break if dropped. What is the worst case upper bound on the number of drops you must make to determine this floor?
2. Given the numbers 1 to 1000, what is the minimum numbers guesses needed to find a specific number if you are given the hint “higher” or “lower” for each guess you make.
3. There are three boxes, one contains only apples, one contains only oranges, and one contains both apples and oranges. The boxes have been incorrectly labeled such that no label identifies the actual contents of the box it labels. Opening just one box, and without looking in the box, you take out one piece of fruit. By looking at the fruit, how can you immediately label all of the boxes correctly?
4. Out of 25 horses, pick the fastest 3 horses. In each race, only 5 horses can run at the same time. What is the minimum number of races required?
5. You have a birthday cake and have exactly 3 slices to cut it into 8 equal pieces. How do you do it?
6. you had 5,623 participants in a tournament, how many games would need to be played to determine the winner?
7. You are in a dark room with no light. You need matching socks for your interview and you have 19 gray socks and 25 black socks. What are the chances you will get a matching pair?
8. You have 8 pennies, 7 weight the same, and one weighs less. You also have a judges scale. Find the one that weighs less in less than 3 steps.
9. A train leaves San Antonio for Huston at 60mph. Another train leaves Huston for San Antonio at 80mph. Huston and San Antonio are 300 miles apart. If a bird leaves San Antonio at 100mph, and turns around and flies back once it reaches the Huston train, and continues to fly between the two, how far will it have flown when they collide.
10. If you have 3 gallon bucket and one 5 gallon bucket how will you measure 4 gallons.
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