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Math Help - Unsolved Puzzle

  1. #1
    Junior Member samsum's Avatar
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    Unsolved Puzzle

    In the year 3141, seven astronauts are forced to land their spaceship on a mysterious planet. To their surprise they find an abundance of fruit resembling the Earthís apple. They decide to call it the kuja fruit. On their first day, they collect as many kujas as they can find and place them into a single pile. As the planetís sun begins to set over the horizon, the astronauts decide that they will wait until the
    next day to divide the kujas among themselves.


    That night while the others slept, each astronaut took a turn watching for the alien creatures that they had seen earlier that day. The first watcher decided to divide the kujas into seven equal piles. When he did this, he found that he had one kuja left over which he gave to one of the alien creatures. He decided to take one of the piles and hide it for himself and then combined the remaining six piles back into one
    big pile for the next astronaut to watch over.


    It turns out that throughout the night, each of the seven astronauts did the exact same thing. They took the single pile, divided it equally into seven piles and had one kuja left over which they gave to an alien creature. They took and hid a pile for themselves
    and combined the remaining six piles back
    into a single pile.


    What is the smallest number of kujas that could have been in the original pile?



    This is unsolvable puzzle for my group. We tried to figure out the solution for serveral months, but can't find any good. This is quite a big difficult than last puzzle that i posted.


    Challenge increases talents
    talents bases on intelligent
    intelligent needs pateint
    Do puzzlers have pateint ?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by samsum View Post
    In the year 3141, seven astronauts are forced to land their spaceship on a mysterious planet. To their surprise they find an abundance of fruit resembling the Earthís apple. They decide to call it the kuja fruit. On their first day, they collect as many kujas as they can find and place them into a single pile. As the planetís sun begins to set over the horizon, the astronauts decide that they will wait until the
    next day to divide the kujas among themselves.


    That night while the others slept, each astronaut took a turn watching for the alien creatures that they had seen earlier that day. The first watcher decided to divide the kujas into seven equal piles. When he did this, he found that he had one kuja left over which he gave to one of the alien creatures. He decided to take one of the piles and hide it for himself and then combined the remaining six piles back into one
    big pile for the next astronaut to watch over.


    It turns out that throughout the night, each of the seven astronauts did the exact same thing. They took the single pile, divided it equally into seven piles and had one kuja left over which they gave to an alien creature. They took and hid a pile for themselves
    and combined the remaining six piles back
    into a single pile.


    What is the smallest number of kujas that could have been in the original pile?



    This is unsolvable puzzle for my group. We tried to figure out the solution for serveral months, but can't find any good. This is quite a big difficult than last puzzle that i posted.


    Challenge increases talents
    talents bases on intelligent
    intelligent needs pateint
    Do puzzlers have pateint ?
    This is a classic puzzle with monkeys and coconuts.

    See this

    RonL
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