• Brain Teasers & Puzzles

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    • There is a tree 20 feet high, with a circumference of 3 feet. A vine starts at the base of the tree and winds around the tree 7 times before reaching the top. How long is the vine?

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    • Assuming year 1 started on Sunday, it can be shown that only some days are possible as a century’s final day. What are these days?

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    • Here you see a pool with six happy frogs. You must exchange the positions of the brown and green frogs, using the following rules:

      a frog can only jump to an empty water lily;
      a frog can only jump over at most one other frog, that has another color;
      a frog can only jump forward (so the green frogs jump right and the brown frogs jump left).

      How can this be done?

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    • There is a rich man living with two other people his butler and his maid. One day the rich man is sitting at his desk counting his money, preparing to deposit it at the bank. When he is done he goes to the bank, but when he arrives, he realises he left a $100 dollar bill on the desk. So he quickly called the house and told the butler that he forgot the $100 bill on the desk, and he will come home now to pick it up. When he arrived home he asked the butler what he did with the bill, the butler said he put it under the green book on the desk. When the rich man looked under the book, it wasn’t there, so he asked the maid if she saw it. She said she saw the $100 bill when she was dusting and put it between pages 67 and 68 of the green book. Right then and there the rich man called the police, and knew who stole it, even before the rich man checked inside the book to see if the $100 bill was there. How did he know?

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    • Vicky caught four animals in the Great Animal Forest and put them into four separate cages. The four animals are:

      the lion, that always tells the truth;
      the jackal, that always lies;
      the parrot, that always repeats the last given answer (if he is the first one, he randomly says “yes” or “no”);
      the giraffe, that is so slow that he always truthfully answers the previous question (if he is the first one, he also randomly says “yes” or “no”).
      The other animals want to free them and send the small, smart hedgehog on the way to size up the situation. In the middle of the night, the hedgehog creeps into the camp of the Vicky and tries to figure out which animal sits in which cage. One by one, he asks them “are you the jackal?” After hearing the four answers, the hedgehog only knows in which cage the giraffe sits. Then the hedgehog asks them in the same order “are you the giraffe?” After hearing the four answers, the hedgehog also knows in which cage the jackal sits. Because the hedgehog then still does not know in which cages all animals sit, he asks the first animal “are you the parrot?” The answer is “yes”, and now the hedgehog knows exactly which animal sits in which cage. The hedgehog returns to the other animals and together they free the captured animals.

      Which animal was in which cage?

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