Question

Среди четырех колец есть одно фальшивое, оно весит не столько же сколько настоящее, на неизвестно легче оно или тяжелее. как найти его за не более, чем 2 взвешивания на чашечных весах без гирь?​

Answer 1

Ответ:

Пошаговое объяснение:

Для удобства пронумеруем кольца: 1, 2, 3, 4.

Сначала взвесим кольца 1 и 2.

Если они не равны, то взвесим 1 и 3. Если 1 и 3 равны, то фальшивое 2, если не равны, то фальшивое 1 кольцо.

Если 1 и 2 кольца равны, то взвесим 2 и 3. Если 2 и 3 не равны, то фальшивое 3, если равны, то фальшивое 4 кольцо.

Answer 2

Finding the Fake Ring with Two Weighings

To find the fake ring among the four rings using only two weighings on a balance scale without weights, we can follow the following steps:

1. Divide the four rings into two groups of two rings each, labeled Group A and Group B.

2. Weigh Group A against Group B on the balance scale: - If Group A and Group B balance each other, it means the fake ring is not in either group. In this case, proceed to step 3. - If Group A and Group B do not balance each other, it means the fake ring is in one of the groups. In this case, proceed to step 4.

3. Divide the remaining two rings into two individual rings, labeled Ring 1 and Ring 2.

4. Take the group that was heavier in the previous weighing (either Group A or Group B) and weigh one of its rings (Ring 1) against the other ring (Ring 2) on the balance scale: - If Ring 1 and Ring 2 balance each other, it means the fake ring is the one that was not weighed in this step. - If Ring 1 and Ring 2 do not balance each other, it means the fake ring is the one that is lighter.

By following these steps, we can identify the fake ring using only two weighings on a balance scale without weights.

Please note that the specific details of the rings and their weights are not provided in the question, so the above method assumes that the fake ring is either lighter or heavier than the genuine rings.