Question

Витя, Дима, Толя и Паша встретились и подружились в Артеке. Они приехали сюда из разных городов: один из Владивостока, другой из Москвы, третий из Бирска, четвертый из Кирова. Из какого города приехал каждый мальчик, если известно, что: 1) Витя и мальчик из Кирова жили в одной комнате. Ни один из них никогда не был ни в Бирске, ни во Владивостоке; 2) Толя играл в волейбол в одной команде с мальчиком из Бирска, а против них обычно сражался их приятель из Кирова; 3) Паша и мальчик из Бирска увлекались игрой в шахматы.

Answer 1

Толя живет в Москве, Витя - в Санкт-Петербурге, Юра - в Новгороде, Коля - в Перми, а Алеша - в Томске.

Answer 2

Problem Analysis

We have four boys named Vitya, Dima, Tolya, and Pasha who met and became friends in Artek. They came from different cities: Vladivostok, Moscow, Birsk, and Kirov. We need to determine which boy came from each city based on the following information: 1. Vitya and the boy from Kirov lived in the same room. Neither of them has ever been to Birsk or Vladivostok. 2. Tolya played volleyball on the same team as the boy from Birsk, and they usually played against their friend from Kirov. 3. Pasha and the boy from Birsk were interested in playing chess.

Solution

Let's analyze the given information step by step to determine which boy came from each city.

1. Vitya and the boy from Kirov lived in the same room. Neither of them has ever been to Birsk or Vladivostok. - From this information, we can conclude that Vitya is not from Birsk or Vladivostok. - The boy from Kirov is also not from Birsk or Vladivostok. - Therefore, Vitya and the boy from Kirov must be from either Vladivostok or Moscow.

2. Tolya played volleyball on the same team as the boy from Birsk, and they usually played against their friend from Kirov. - From this information, we can conclude that Tolya is not from Birsk or Kirov. - Therefore, Tolya must be from either Vladivostok or Moscow.

3. Pasha and the boy from Birsk were interested in playing chess. - From this information, we can conclude that Pasha is not from Birsk. - Therefore, Pasha must be from either Vladivostok or Moscow.

Based on the above analysis, we can determine the following: - Vitya and the boy from Kirov are from either Vladivostok or Moscow. - Tolya is from either Vladivostok or Moscow. - Pasha is from either Vladivostok or Moscow. - The boy from Birsk is not Vitya, Tolya, or Pasha.

Since each boy is from a different city, we can assign the cities as follows: - Vitya is from Vladivostok. - Dima is from Moscow. - Tolya is from Kirov. - Pasha is from Birsk.

Therefore, Vitya is from Vladivostok, Dima is from Moscow, Tolya is from Kirov, and Pasha is from Birsk.

Answer: - Vitya is from Vladivostok. - Dima is from Moscow. - Tolya is from Kirov. - Pasha is from Birsk.