Question

Список заданий викторины состоял из 38 вопросов. За каждый правильный ответ ученик получал 5 очков, за неправильный ответ с него списывали 6 очков, а при отсутствии ответа давали 0 очков. Сколько заданий оставил без ответа ученик, набравший 65 очков, если известно, что он ошибся по крайней мере 6 раз?

Answer 1

Ответ:

65+6*6=101 не кратно 5

65+6*10=125 (без 10 ошибок)

125/5=25 правильных

38-10-25=3 без ответа

Answer 2

Calculation of Unanswered Questions

To calculate the number of unanswered questions, we need to consider the scoring system for the quiz. Each correct answer earns the student 5 points, each incorrect answer deducts 6 points, and a missing answer results in 0 points.

Let's assume the student scored 65 points and made at least 6 mistakes. We can calculate the number of unanswered questions using the following steps:

1. Calculate the maximum possible score: - Each correct answer earns 5 points, so the maximum possible score is 5 multiplied by the total number of questions: 5 * 38 = 190 points.

2. Calculate the total deduction for incorrect answers: - Each incorrect answer deducts 6 points, so the total deduction for mistakes is 6 multiplied by the number of mistakes: 6 * 6 = 36 points.

3. Calculate the maximum possible score after deductions: - Subtract the total deduction from the maximum possible score: 190 - 36 = 154 points.

4. Calculate the number of unanswered questions: - Subtract the student's score from the maximum possible score after deductions: 154 - 65 = 89 points.

Therefore, the student left 89 questions unanswered.