Question

Пятеро одноклассников - Аня, Саша, Лена, Вася и Миша - стали победителями школьных олимпиад по истории, математике, информатике, литературе и географии. Известно что: 1) победитель олимпиады по информатике учит Аню и Сашу работе на компьютере; 2) Лена и Вася тоже заинтересовались информатикой; 3) Саша всегда побаивался истории; 4) Лена, Саша и победитель олимпиады по литературе занимаются плаваньем; 5) Саша и Лена поздравили победителя по математике; 6) Аня сожалеет о том, что у нее остается мало времени на литературу. Победителем какой олимпиады стал каждый из этих ребят?!

Answer 1

Воооооооооооот, ловииии, удачи:)

Answer 2

Problem Analysis

We are given that five classmates, Anya, Sasha, Lena, Vasya, and Misha, have won school olympiads in history, mathematics, computer science, literature, and geography. We are also given several additional pieces of information about their interests and activities. We need to determine which olympiad each of them won.

Solution

Let's analyze the given information step by step to determine the winner of each olympiad.

1. The winner of the computer science olympiad teaches Anya and Sasha how to work on a computer. 2. Lena and Vasya are also interested in computer science. 3. Sasha is always afraid of history. 4. Lena, Sasha, and the winner of the literature olympiad are involved in swimming. 5. Sasha and Lena congratulate the winner of the mathematics olympiad. 6. Anya regrets not having enough time for literature.

Based on this information, we can make the following deductions:

- Anya and Sasha are interested in computer science and work on a computer, so they are not the winners of the history, literature, or mathematics olympiads. - Lena and Vasya are interested in computer science, so they are not the winners of the history, literature, or mathematics olympiads. - Sasha is afraid of history, so he is not the winner of the history olympiad. - Lena, Sasha, and the winner of the literature olympiad are involved in swimming, so they are not the winners of the mathematics olympiad.

Let's summarize the deductions:

- Anya and Sasha are potential winners of the computer science olympiad. - Lena and Vasya are potential winners of the geography olympiad. - Sasha is not the winner of the history olympiad. - Lena, Sasha, and the winner of the literature olympiad are not the winners of the mathematics olympiad.

Now, let's analyze the remaining information:

- Sasha and Lena congratulate the winner of the mathematics olympiad. Since Sasha is not the winner of the history olympiad, he must be the winner of the mathematics olympiad. Lena is involved in swimming, so she cannot be the winner of the mathematics olympiad. Therefore, Sasha is the winner of the mathematics olympiad.

- Anya and Sasha are interested in computer science and work on a computer. Since Sasha is the winner of the mathematics olympiad, Anya must be the winner of the computer science olympiad.

- Lena and Vasya are interested in computer science, but they are not the winners of the computer science olympiad. Therefore, Lena must be the winner of the geography olympiad.

- The remaining olympiad is literature, and the winner is Misha.

Based on the deductions and analysis, we can determine the winner of each olympiad:

- History: Not determined. - Mathematics: Sasha. - Computer Science: Anya. - Literature: Misha. - Geography: Lena.

Therefore, the winners of each olympiad are as follows: - History: Not determined. - Mathematics: Sasha. - Computer Science: Anya. - Literature: Misha. - Geography: Lena.

Please let me know if I can help you with anything else.