Problem:
A multiple choice examination consists of questions. The scoring is for each correct answer, for each incorrect answer, and for each unanswered question. John's score on the examination is . What is the maximum number of questions he could have answered correctly?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
If John answered or: more questions correctly, then his score would have been at least ( correct, incorrect). Checking the other cases, we find that John could have answered . correctly, incorrectly, and left unanswered for a score of . Note that correct, incorrect, unanswered also give a score of .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions