Question

Имеется 8одинаковых колец,из них одно фальшивое,легче остальных,остальные настоящие,одинаковой массы. За какое наименьшее число вщвешиваний на чашечных весах без гирь можно найти фальшивое кольцо?

Answer 1

Решение смотри в файлах

Answer 2

Finding the Fake Ring Using Balance Scale

To find the fake ring among the 8 identical rings, one of which is lighter than the others, we can use a balance scale without any additional weights. The goal is to determine the fake ring using the fewest number of weighings.

Strategy for Finding the Fake Ring

The most efficient strategy for finding the fake ring is to divide the rings into smaller groups and use the results of each weighing to narrow down the possibilities. One approach is to divide the rings into three groups of three, leaving two rings aside. Then, compare the three groups to identify the lighter group. Once the lighter group is identified, further divide that group and compare two of the rings. This process will ultimately reveal the fake ring.

Minimum Number of Weighings

The minimum number of weighings required to find the fake ring using this strategy is two weighings.

Step-by-Step Process

1. First Weighing: Divide the rings into three groups of three and weigh two of the groups against each other. This will identify the lighter group.

2. Second Weighing: Take the lighter group from the first weighing and weigh two of the rings against each other. The lighter ring will be the fake one.

This strategy ensures that the fake ring can be identified using only two weighings on a balance scale without any additional weights.