Question

В одном классе учатся победители школьных олимпиад по информатике, физике, математике, литературе и географии. Их зовут: Андрей, Соня, Лёня, Вика, Маша. Известно, что: 1) победитель олимпиады по информатике учит Андрея и Соню работе на компьютере; 2) Лёня и Вика тоже заинтересовались информатикой; 3) Соня всегда побаивалась физики; 4) Лёня, Соня и победитель олимпиады по литературе занимаются плаванием; 5) Соня и Лёня поздравили победителя олимпиады по математике; 6) Андрей сожалеет о том, что у него остается мало времени на литературу. Кто стал победителем олимпиады по математике? А) Андрей Б) Соня В) Лёня Г) Вика

Answer 1

Вика стала победителем олимпиады по математике

Answer 2

Информатика из 1 и 2 - не Андрей, не Соня, не Лёня и не Вика. Это Маша.
Из 3, 4 и 5 Соня не физика, не литература и не математика. и не информатика уже. Соня - география.
Математика тогда не Маша, не Соня и из 5 не Лёня. Это Андрей или Вика.
Литература не Андрей из 6 и не Леня из 4. То есть Вика.
Математика  получается у Андрея. Ответ А)

Answer 3

Problem Analysis

We are given information about a group of students who are winners of school Olympiads in various subjects. We need to determine who became the winner of the mathematics Olympiad.

Solution

To solve this problem, let's analyze the given information step by step:

1. The winner of the informatics Olympiad teaches Andrey and Sonya to work on the computer. 2. Lena and Vika are also interested in informatics. 3. Sonya is always afraid of physics. 4. Lena, Sonya, and the winner of the literature Olympiad are engaged in swimming. 5. Sonya and Lena congratulated the winner of the mathematics Olympiad. 6. Andrey regrets that he has little time for literature.

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

- Andrey and Sonya are taught by the winner of the informatics Olympiad. - Lena and Vika are also interested in informatics. - Sonya is afraid of physics. - Lena, Sonya, and the winner of the literature Olympiad are engaged in swimming. - Sonya and Lena congratulated the winner of the mathematics Olympiad. - Andrey regrets that he has little time for literature.

Now, let's analyze the deductions:

- Andrey and Sonya are taught by the winner of the informatics Olympiad. - Lena and Vika are also interested in informatics. - Sonya is afraid of physics. - Lena, Sonya, and the winner of the literature Olympiad are engaged in swimming. - Sonya and Lena congratulated the winner of the mathematics Olympiad. - Andrey regrets that he has little time for literature.

From deduction 6, we can conclude that Andrey is not the winner of the literature Olympiad because he regrets not having enough time for literature. Therefore, the winner of the literature Olympiad must be either Lena or Sonya.

From deduction 5, we know that Sonya and Lena congratulated the winner of the mathematics Olympiad. Since Andrey is not the winner of the literature Olympiad, and Sonya congratulated the winner of the mathematics Olympiad, it means that Sonya is the winner of the literature Olympiad. Therefore, Lena must be the winner of the mathematics Olympiad.

So, the answer is (B) Sonya.

Conclusion

Based on the given information and deductions, Lena became the winner of the mathematics Olympiad.

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