The Bin With The Golf Balls

Imagine a large empty bin where each minute people would come and put in one golf ball a piece.

The first minute (starting at 12 noon), 1 person came and put in a ball.

The second minute, 2 people put in one ball a piece. A minute later, 4 people put in 1 ball a piece.

This pattern continued until the bin was exactly full at 6 PM.

At what time was the bin half empty?

Ah! Click here to read the solution.

The King And The Princess

A king wants his daughter to marry the smartest of 3 extremely intelligent young princess, and so the king’s wise men devised an intelligence test.

The princess are gathered into a room and seated, facing one another, and are shown 2 black hats and 3 white hats. They are blindfolded, and 1 hat is placed on each of their heads, with the remaining hats hidden in a different room.

The king tells them that the first prince to deduce the color of his hat without removing it or looking at it will marry his daughter. A wrong guess will mean death. The blindfolds are then removed.

You are one of the princes. You see 2 white hats on the other prince’s heads. After some time you realize that the other prince’s are unable to deduce the color of their hat, or are unwilling to guess. What color is your hat?

Please Note: You know that your competitors are very intelligent and want nothing more than to marry the princess. You also know that the king is a man of his word, and he has said that the test is a fair test of intelligence and bravery.

Ah! Click here to read the solution.