A question-master asks each of four contestants up to 15 questions. The process is repeated again for a second round. The 'score' is the number of questions answered correctly. The scores after each round are announced in ascending numerical order.After the first round of a contest the scores were 8, 10, 11, and 14.After the second round the total scores for the contestants were 13, 18, 20, and 24.What was the largest possible score achieved in the second round of this contest?
Correct answer: C. 14
- A. 10
- B. 11
- C. 14
- D. 16
Explanation
The largest possible score achieved in the second round of this contest must be higher than any score achieved in the first round. Since the highest score after the first round was 14, the largest possible score in the second round can be at least 15 or higher. Therefore, the correct answer is 14. Options A and B are lower than the highest score in the first round, so they are not the largest possible score. Option D is higher than the highest score in the first round, but it is not the maximum possible score based on the given information.
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