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  • On a geography test you have to tell which of two German cities is greater in population for all possible pairs of the 80 largest cities of Germany. (And that’s the only task on the test since it’s already 5 pages long.) But you didn’t study last night, and only even recognise half the cities, and don’t even know how those are ordered relative to each other. Your friend on the other hand studied dutifully all night and recognises all the cities and even knows how two cities are ranked relative to each other 60% of the time.

    A week later you get the test-result and you have a higher score than your friend. How come?

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    PuzzleFry Puzzle of the day
  • There are three Federation Officers assigned to take three hostile aliens to “Peace Talks” on another planet. However, they must follow the following rules:

    They have only one small space ship.
    Only two individuals can ride in the space ship each time.
    All Federation Officers can pilot the space ship, but only one alien can pilot the ship.
    If at any time there are both Federation Officers and aliens on a planet, then there must always be more (or the same number of) Federation Officers than aliens on that planet. This is because if there are more aliens than Federation Officers, then the aliens will kill the Federation Officers. Count any individual in the space ship when it is on one planet as being on that planet.
    The one space ship is the only means of transportation. There is no other way to get to the “Peace Talks”. No one can exit the space ship while it is in flight.
    To start off, all the Federation Officers and aliens are on the same planet.

    Can all Federation Officers and aliens get to the other planet alive, and if so: how?

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    PuzzleFry Puzzle of the day
  • A stopped clock gives the exact time twice a day, while a normally running (but out of sync) clock will not be right more than once over a period of months. A clever grandfather [as in grandfather clock] adjusted his clock to give the correct time at least twice a day, while running at the normal rate. Assuming he was not able to set it perfectly, how did he do it?

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  • You have five pieces of chain, each consisting of three links. You want to make one long chain of these five pieces. Breaking open a link costs 1 $, and welding an open link costs 3 $.

    Is it possible to make one long chain of the five pieces, if you have just 15 $?

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  • Jenny has boxes in three sizes: large, standard, and small. She puts 11 large boxes on a table. She leaves some of these boxes empty, and in all the other boxes, she puts 8 standard boxes. She leaves some of these standard boxes empty, and in all the other standard boxes, she puts 8 (empty) small boxes. Now, 102 of all the boxes on the table are empty.

    The question: How many boxes has Jenny used in total?

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  • You are given “n” coins of denominations 1, 0.5, 0.25, 0.1, 0.05 and 0.01 (6n coins altogether). You are then asked to choose n out of these 6n coins that sum up to exactly 1. What is the smallest n for which this is impossible?

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  • Three men in a cafe order a meal, the total cost of which is $15. They each contribute $5. The waiter takes the money to the chef who recognizes the three as friends and asks the waiter to return $5 to the men.

    The waiter is not only poor at mathematics but dishonest and instead of going to the trouble of splitting the $5 between the three he simply gives them $1 each and pockets the remaining $2 for himself.

    Now, each of the men effectively paid $4, the total paid is therefore $12. Add the $2 in the waiters pocket and this comes to $14…..where has the other $1 gone from the original $15?

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  • On the right, you see a paper with a chessboard print on it. We want to cut the chessboard paper into pieces (over the lines!) such that each piece has twice as much squares of one color than of the other color (i.e. twice as much black squares as white squares or twice as much white squares as black squares).

    Is it possible to do this? Give a proof!

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  • A road is divided into two ways.  One leads to City of truth and the other leads to City of Lies. All the people belonging to City of Truth always tell truth and all the people belonging to City of Lies  always lie.

    There are two people standing at the division,  one from City of Truth and the other from City of Lies. You don’t know who belongs to which city.
    You can ask only one question to any one of the two people standing there to determine which way leads to the City of Truth and which leads to City of Lies.

    What would be your question..?

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  • On the game of Poker, two people play as follows:
    Player 1 takes any 5 cards of his choice from the deck of 52 cards. Then player 2 does the same out of the remaining 47. Then player 1 may choose to discard any of his cards and replace them from the remaining 42. Then player 2 may discard any of his cards and replace them, but he may not take player 1’s discards. ALL of the transactions with the deck are public knowledge, unlike the real game of Poker.

    After this process, the winner is the one who has the better poker hand. For the benefit of those who have not played poker, these are the highest ranking hands, in decreasing order of value:

    Royal Flush: the A K Q J 10 of the same suit.
    Straight Flush: any five consecutive of one suit. Highest card of the five is the tiebreaker. No one suit is more powerful than another.
    Four of a kind: all four of one rank (i.e. four aces). A hand with 4 aces outranks 4 kings, etc.
    Full house: a pair of one rank and 3-of-a-kind in another rank, i.e. Q Q 8 8 8.
    Flush: Any 5 cards of the same suit that don’t satisfy #2.
    Because of the clear advantage of player 1, the win is given to player 2 if the hands are equal in strength.

    Which player would you rather be? What strategy do you use?

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