1987 AMC 8 Problem 24
Attempt Problem 24 of the 1987 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1987 AMC 8 solutions, or check the answer key.
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24.
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: D
Difficulty rating: 1150
Solution:
Let be the number correct and the number wrong, so Then which requires to be even.
Trying gives but too many. Trying gives and which works. So the maximum is
Thus, the correct answer is D .
Problem 24 in Other Years
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