# 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?

+1 vote
274 views

A worker is to perform work for you for seven straight days. In return for his work, you will pay him 1/7th of a bar of gold per day. The worker requires a daily payment of 1/7th of the bar of gold.
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?

posted Aug 21, 2015

You make 2 cuts at 1/7 and 3/7 of the bar. This gives you 1/7, 2/7 and 4/7 piece of the bar.
Day 1: Give 1/7 piece.
Day 2: Give 2/7 piece in return for 1/7 piece.
Day 3: Give 1/7 piece.
Day 4: Give 4/7 piece in return for 1/7 and 2/7 piece.
Day 5: Give 1/7 piece.
Day 6: Give 2/7 piece in return for 1/7 piece.
Day 7: Give 1/7 piece.

answer Aug 21, 2015 by
NICE STRATEGY

Similar Puzzles

You have a flashlight that takes 2 working batteries. You have 8 batteries but only 4 of them work.

What is the fewest number of pairs you need to test to guarantee you can get the flashlight on?

You have 21 jars with you. Out of them, 7 are filled with water, 7 are half-full with water and 7 are empty.
How will you distribute the jars among three people such that each one of them gets the equal number of jars and equal amount of water?

Everyday a peasant must pay the king one pound of gold and leave it on a collection plate in front of his house. Every morning a guard comes by to make sure he has put a pound of gold on the plate. The king collects the gold every six days from the plate. If the peasant only has one six pound block of gold, how can he make only two parallel cuts and still follow the kings rules each day?

Welcome to the deadly game placed by the serial killer Jigsaw. You are tied to a chair and you cant move your hands or get up. Jigsaw shows you an empty gun with all the six chambers empty. He puts two bullets in the adjacent chambers and then close the barrel. He spins it and then point the gun to your head. The first shot snaps. It was an empty slot.

Now before pressing the trigger again, he asks you whether to pull the trigger or to spin the barrel first and then pull the trigger.

If the second shot goes empty, you will be spared by him. What will you choose?

Also think what will you chose if the bullets are not in the adjacent chambers.

+1 vote

You and a friend play a game where you start with a pile of 1000 stones, and each turn you can either add 2 stones to the pile or remove 10 stones.

The player to remove the last stone wins.

Should you start first or second to win this game?