Gold Bar Puzzle

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?

Solution

The smallest number in which we can cut the gold bar is 2, so it can be finally divided into 3 parts.

Now the segment in which we will divide the bar will be 1,2, and 4 segments long.

Note: Here can be multiple combination you can try but solving procedure will be only one, so without wasting any time on some other combination we will directly go for the right one.

Now the process follows as:

  • Day 1- After he completes the work give him 1 segment of gold bar. Today you have given him 1/7th of the whole gold bar.
  • Day 2- At the end of day 2 given him the 2 segment gold bar and take the 1 segment of gold bar you have given him yesterday. Now you have given him 2/7th of the whole gold bar.
  • Day 3-  At the end of day three give him the 1 segment of gold bar. Now at the end of 3 days of working he has 3 segment of the whole gold bar. And, as per condition we have given him 3/7th of the whole gold bar till now.
  • Day 4- After completing the work on day 4 give him the 4 segment gold block and the 2 and 1 segment gold block from him. Now he has 4 gold blocks after working for 4 days and you have given him 4/7th of the total gold bar.
  • Day 5- At the end of day 5 give him 1 segment gold bar that you have. Now he has 5 segment gold bar after working for 5 days.
  • Day 6- At the end of day 6 given him 2 segment gold bar and take 1  segment gold bar from him. Now he has 6 segment gold bar and you have given him 6/7th of the whole gold bar after working for 6 consecutive days.
  • Day 7- At the end of day 7 give him the 1 segment gold bar. Now he has the whole gold bar after working consecutively for the whole week. and you have also full-filled the condition of giving him 1/7th of whole gold bar per day without splitting it into 7 pieces i.e, dividing the bar into minimum possible segments.
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?