Question

In a Math Olympiad quiz, 5 points are awarded for a correct answer and 2 points are deducted for a wrong answer or if a question is left unanswered. Shirley attempted all 30 questions and her total score for the quiz was not more than 66. Find the maximum number of correct answers she obtained.

A) 10
B) 12
C) 15
D) 20

Answer 1

To find the maximum number of correct answers Shirley obtained in the Math Olympiad quiz, we need to determine the maximum number of points she could have scored while still having a total score of 66 or less. By assuming she answered all questions correctly and subtracting the maximum number of points she could lose, we find that the maximum number of correct answers she obtained is 18, which corresponds to option D) 20.

Step-by-step explanation:

To find the maximum number of correct answers Shirley obtained, we need to determine the maximum number of points she could have scored while still having a total score of 66 or less. Let's assume she answered all questions correctly, which would give her a score of 5x30 = 150.

Since 2 points are deducted for each wrong answer or if a question is left unanswered, the maximum number of points she could lose is 2x30 = 60.

Therefore, the maximum number of points Shirley could have scored is 150 - 60 = 90.

The maximum number of correct answers she obtained is 90 / 5 = 18.

Therefore, the correct answer is D) 20.