Hi, this is a riddle I just created. Sorry for my broken English, it's not my native language. There are two version of almost the same idea. The 1st one is purest, but the second one is more tricky. I think it's quite difficult to solve, but there is no need for any mathemical knowledge.

First version of the riddle

A poker manufacturer has created 10201 cases each containing 100 chips. (Note: 10201=101*101)
10200 of these cases are perfect and each of their chips weighs 10g.
One of these cases is defective and its 100 chips weigh 11g each.

In order to determine which of the 10201 cases is defective, the manufacturer has two scales at his disposal:

A traditional, high-precision scale that can hold tons.

An electronic kitchen scale that displays the weight with a precision of 2g and can hold no more than 100g.

How can the manufacturer determine the defective case using only 2 times each of the 2 scales?

Second version of the riddle

A poker manufacturer has created 41010 cases each containing 100 chips.
41009 of these cases are perfect and each of their chips weighs 10g.
One of these cases is defective and its 100 chips weigh 11g each.

In order to determine which of the 41010 cases is defective, the manufacturer has two scales at his disposal:

A traditional, high-precision scale that can hold tons.

An electronic kitchen scale that displays the weight with a precision of 1g and can hold no more than 100g.

How can the manufacturer determine the defective case using only 2 times each of the 2 scales?

## Question

## JoachimJo 1

Hi, this is a riddle I just created. Sorry for my broken English, it's not my native language. There are two version of almost the same idea. The 1st one is purest, but the second one is more tricky. I think it's quite difficult to solve, but there is no need for any mathemical knowledge.

First version of the riddleA poker manufacturer has created

10201cases each containing 100 chips. (Note: 10201=101*101)10200 of these cases are perfect and each of their chips weighs 10g.

One of these cases is defective and its 100 chips weigh 11g each.

In order to determine which of the 10201 cases is defective, the manufacturer has two scales at his disposal:

a precision of 2gand can hold no more than 100g.How can the manufacturer determine the defective case using only 2 times each of the 2 scales?

Second version of the riddleA poker manufacturer has created

41010cases each containing 100 chips.41009 of these cases are perfect and each of their chips weighs 10g.

One of these cases is defective and its 100 chips weigh 11g each.

In order to determine which of the 41010 cases is defective, the manufacturer has two scales at his disposal:

a precision of 1gand can hold no more than 100g.How can the manufacturer determine the defective case using only 2 times each of the 2 scales?

Edited by JoachimJo## Link to post

## Share on other sites

## 4 answers to this question

## Recommended Posts

## Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.