In order to figure out what is in a sealed box, you perform some tests. The box seems heavy for its size and is harder to remove from a steel table than when placed on a concrete floor. What kind of object could be inside the box?
Imagine you are in a cement box quickly filling up with water. The box is sealed on all sides, yet you still find a way out and survive. How?
You want to send a valuable object to a friend. You have a box which is more than large enough to contain the object. You have several locks with keys. The box has a locking ring which is more than large enough to have a lock attached. But your friend does not have the key to any lock that you have. Note that you cannot send a key in an unlocked box, since it might be copied. How is this done?
Can you figure out the logic I used to decide the order of the following words:
gun, shoe, spree, door, hive, kicks, heaven, gate, line, den
You have 19 eggs. 18 of them have the same weight and 1 of them is different, but you do not know if it is heavier or lighter than the others.
Using the best possible strategy, in the worst case scenario, how many weighing do we need to perform in order to correctly identify the different egg?
Edit : You do not necessarily need to find if the egg is heavier or lighter than the others.
What is the longest line that could be drawn in a box of 20x12x9?
