Gold Bar Puzzle

You’ve got someone working for you for seven days and a gold bar to pay him. The gold bar is segmented into seven connected pieces.

You must give them a piece of gold at the end of every day.

What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day?

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vipin Scholar Asked on 26th July 2015 in Math Puzzles.
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  • 3 Answer(s)

    The fewest number of cuts will be 2.

    If we cut it into 3 part where the parts are 1, 2 and 4 segments long.
    Day 1 – Give 1 segment bar
    Day 2 – Give 2 segment bar ask for 1 segment bar back
    Day 3 – Give 1 segment bar
    Day 4 – Give 4 segment bar ask for 1 + 2 back
    Day 5 – Give 1 segment bar
    Day 6 – Give 2 segment bar ask for 1 segment bar back
    Day 7 – Give 1 segment bar

    ronret45 Expert Answered on 29th July 2015.

    It only takes two cuts to create three segments.

    on 24th October 2015.
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    I am a digital hardware engineer — Here goes my solution

    i’ll require 3 bit to give id to each bar 1st
    000
    001
    010
    011
    100
    101
    110
    111

    Here if you know each bit represent weights of 4, 2 and 1 i.e, 111 means 4*1+2*1+1*1 = 7

    Now you know min bar length of 4, 2  and 1 we can use to represent / distribute all 7 pieces.

    421
    001 –> give bar1 1st day (weight1 is 1 and rest are 0)
    010 –> take bar1 back (see weight1 is 0) and give bar 2 (weight2 is 1 )
    011 –> give bar1 back again
    100 –> take both bar1 , bar2 and give bar 4.
    101 –> give bar1 again.
    110 –> take bar1 back and give bar2 again.
    111 –> give bar1 as well. We are done 🙂

    dhruva pandey Curious Answered on 7th September 2015.
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    Just 2 cuts.
    First one between 1 and 2 and second between 3 and 4.
    lets number them from 1 to 7
    So you have 1   2-3   4-5-6-7 in this formation and connection
    Day 1- Give 1
    Day 2- Give 2-3 take back 1
    Day 3- Give 1 also
    Day 4- Take all back and give 4-5-6-7
    Day 5- Give 1 with the rest
    Day 6- Take back 1 and give 2-3
    Day 7- Give 1.

    So we need only two cuts

    EXODIA Starter Answered on 6th October 2015.
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