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MathNet 2006 — Part 02 Question 184

Math Olympiad Vault · MathNet 2006 — Part 02

Question 184

Ana, Bento and Lucas participated in a contest that consists of 20 questions with the following rules:
- each correct answer earns 5 points,
- each wrong answer loses 3 points,
- each white answer loses 2 points.

See the results in the table below:

| | Number of correct answers | Number of wrong answers | Number of blank responses |
| :--- | :---: | :---: | :---: |
| Ana | 12 | 4 | 4 |
| Bento | 13 | 7 | 0 |
| Lucas | 12 | 3 | 5 |

Entering the three names in descending order of classification in the contest, we find:

A) Ana, Bento, Lucas

B) Lucas, Bento, Ana

C) Ana, Lucas, Bento

D) Lucas, Ana, Bento

E) Bento, Lucas, Ana