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Logic Puzzles and Games

12. If you had a 5-litre and a 3-litre bowl and access to water. How would you measure exactly 4 liters?

Solution

13. Imagine having three bowls. In the bowl A (8 liters capacity) are 5 liters of water. In the bowl B (5 liters capacity) are 3 liters of water. In the bowl C (3 liters capacity) are 2 liters of water. Can you measure exactly 1 liter, over spilling only 2 times?

Solution

14. Imagine you have 10 bags full of coins, in each bag 1000 coins. In one bag, there are all coins forgeries. The original coin is 1 gram light, forgery is 1.1 gram. Balancing just once on an accurate weighing-machine, how can you identify the bag with forgeries?

Solution

15. The recent expedition to the lost city of Atlantis discovered scrolls attributed to the great poet, scholar, philosopher Josephine. They number eight in all, and here is the first. The kingdom of Mamajorca, was ruled by queen Henrietta I. In Mamajorca women have to pass an extensive logic exam before they are allowed to get married. Queens do not have to take this exam. All the women in Mamajorca are loyal to their queen and do whatever she tells them to. The queens of Mamajorca are truthful. All shots fired in Mamajorca can be heard in every house. All above facts are known to be common knowledge. Henrietta was worried about the infidelity of the married men in Mamajorca. She summoned all the wives to the town square,
and made the following announcement. "There is at least one unfaithful husband in Mamajorca. All wives know which husbands  are unfaithful, but have no knowledge about the fidelity of their own husband. You are forbidden to discuss your husband's faithfulness with any other woman. If you discover that your husband is unfaithful, you must shoot him at precisely midnight
of the day you find that out." Thirty-nine silent nights followed the queen's announcement. On the fortieth night, shots were heard. How many husbands were shot on that fateful night?
Solution

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