# 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?

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

It only takes two cuts to create three segments.

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 🙂

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

### Your Answer

## More puzzles to try-

### What is the logic behind these ?

3 + 3 = 3 5 + 4 = 4 1 + 0 = 3 2 + 3 = 4 ...Read More »### Which letter replaces the question mark

Which letter replaces the question markRead More »### Five greedy pirates and gold coin distribution Puzzle

Five puzzleFry ship’s pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all ...Read More »### Defective stack of coins puzzle

There are 10 stacks of 10 coins each. Each coin weights 10 gms. However, one stack of coins is defective ...Read More »### Dr. Willam and surgical gloves puzzle

Dr.Willam wants to operate for three different persons who were wounded. But he had only two surgical gloves. There is ...Read More »### Which clock works best?

Which clock works best? The one that loses a minute a day or the one that doesn’t work at all?Read More »### To which one will the needle touch 1 OR 2

In the gear arrangement, To which one will the needle touch, 1 OR 2Read More »### How did he know?

A man leaves his house in the morning to go to office and kisses his wife. In the evening on ...Read More »### Which room is safest puzzle

A murderer is condemned to death. He has to choose between three rooms. The first is full of raging fires, ...Read More »### Crossing the Bridge Puzzle (Bridge and torch problem)

A bridge will collapse in 17 minutes. 4 people want to cross it before it will collapse. It is a ...Read More »### Probability of having boy

In a country where everyone wants a boy, each family continues having babies till they have a boy. After some ...Read More »### Magical flowers!!

A devotee goes to three temples, temple1, temple2 and temple3 one after the other. In front of each temple, there ...Read More »### How many times a day do all three hands of analog watch overlaps?

There is a perfectly accurate analog watch with hour, minute, and second hands. How many times a day do all three ...Read More »### Tuesday, Thursday what are other two days staring with T?

Four days are there which start with the letter ‘T‘. I can remember only two of them as “Tuesday , Thursday”. ...Read More »### How could only 3 apples left

Two fathers took their sons to a fruit stall. Each man and son bought an apple, But when they returned ...Read More »### How Many Eggs ?

A farmer is taking her eggs to the market in a cart, but she hits a pothole, which knocks over ...Read More »### Minimum number of persons needed to cross a Desert

In the middle of the confounded desert, there is the lost city of “Ash”. To reach it, you will have ...Read More »### Lateral thinking sequence Puzzle

Solve this logic sequence puzzle by the correct digit- 8080 = 6 1357 = 0 2022 = 1 1999 = ...Read More »### Pizza Cost Math Brain Teaser

Jasmine, Thibault, and Noah were having a night out and decided to order a pizza for $10. It turned out ...Read More »### Overthrow your math teacher!

Some numbers are very mysterious. They are all integers. They have more than one digit. If you multiply them with ...Read More »