Question

Xzavier is competing in a math contest. The math test has 30 questions. The list shows the number of points that can be earned on each

question.
• Correct answer: +3 points
• Incorrect answer. -4 points
• No answer: -1 point
Xavier answered 20 questions on the test. What is the minimum number of questions that Xavier answered correctly if he earned a positive score?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To earn a positive score, Xavier needs to have a total score greater than zero. Let's calculate his score based on the points for each type of answer:

Correct answers: 20 * 3 = 60 points
Incorrect answers: 0 (since we are considering the minimum number of correct answers)
No answers: (30 - 20) * (-1) = -10 points

Total score = 60 - 10 = 50 points

Since Xavier's total score is 50 points, he must have answered at least 17 questions correctly (50/3 = 16.66), in order to earn a positive score. So the minimum number of questions that Xavier answered correctly is 17.