Problem:
On a -question multiple choice math contest, students receive points for a correct answer, points for an answer left blank, and point for an incorrect answer. Jesse's total score on the contest was . What is the maximum number of questions that Jesse could have answered correctly?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
If Jesse answered questions correctly and questions incorrectly, then , and Jesse's score is . Thus , and because is an integer, , Jesse could achieve a score of by answering questions correctly and incorrectly, leaving answers blank.
The problems on this page are the property of the MAA's American Mathematics Competitions