There are 10 sets of 10 coins. You know how much the coins should weigh. You know all the coins in one set of ten are exactly a hundredth of an ounce off, making the entire set of ten coins a tenth of an ounce off. You also know that all the other coins weight the correct amount. You are allowed to use an extremely accurate digital weighing machine only once.
How do you determine which set of 10 coins is faulty?
Hint: You can weigh as few or as many of the ten coins from each set as you choose.
Answer
2) Eight Balls
You have eight almost identical balls, but one of them is a little bit lighter than the others. It is not that lighter, though, that you can tell the difference by hand, but you have a two-armed balance. How can you find the light ball with only two measures?
Answer
3) 1 Gold Coin
The five pirates mentioned previously are joined by a sixth, then plunder a ship with only one gold coin.
After venting some of their frustration by killing all on board the ship, they now need to divvy up the one coin. They are so angry, they now value in priority order:
1. Their lives
2. Getting money
3. Seeing other pirates die.
So if given the choice between two outcomes, in which they get the same amount of money, they'd choose the outcome where they get to see more of the other pirates die.
How can the captain save his skin?
Hint: What happens if there are two pirates? Who completely loses out? What happens if there are three pirates? Who completely loses out? What happens if there are four pirates? Which two pirates completely lose out?
4) The Boxes
There are three boxes. One is labeled "APPLES" another is labeled "ORANGES". The last one is labeled "APPLES AND ORANGES". You know that each is labeled incorrectly. You may ask me to pick one fruit from one box which you choose.
How can you label the boxes correctly?
5) The Father
A mother is 21 years older than her child. In exactly 6 years from now, the mother will be exactly 5 times as old as the child.
Where's the father?
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