Question

12. Математические Олимпиады получают 20 баллов хронических правые, нижние 6 баллов неправильно решимость, и в отсутствии решения, чтобы получить 0 баллов. После получения результатов, сказал учитель математики Ури, что он получил 99 очков, и Иосиф сказал, что он получил 56 баллов. Учитель ответил сразу и сказал один из студентов был неправ. Кто из студентов не так, и как он узнал учитель?​

Answer 1

Ответ:

ученик не мог получить 99 очков,так как сумма чётных чисел будет равна честному числу.

Answer 2

Mathematical Olympiad Scores

According to the given information, the scoring system for the Mathematical Olympiad is as follows: - Correct answers are awarded 20 points. - Chronic mistakes receive 6 points. - Incorrect solutions receive 0 points.

The teacher of the mathematics class, Uri, claimed to have received 99 points, while Joseph claimed to have received 56 points. The teacher immediately responded by stating that one of the students was incorrect. The question is, which student made the mistake, and how did the teacher know?

To solve this problem, we need to analyze the scores and determine if they are consistent with the scoring system.

Let's assume that Uri's claim of 99 points is correct. In that case, Joseph's claim of 56 points cannot be true, as it is not possible to obtain that score using the given scoring system. The only possible scores for Joseph are 0, 6, 20, 26, 40, 46, 60, 66, 80, 86, or 100.

Therefore, Joseph must have made the mistake in his claim, and the teacher was able to identify this because Joseph's claim was inconsistent with the scoring system.

In conclusion, Joseph made the mistake in his claim of receiving 56 points, and the teacher was able to identify this inconsistency in the scores.