2006 AMC 12A Problem 4
Below is the professionally curated solution for Problem 4 of the 2006 AMC 12A, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2006 AMC 12A solutions, or check the answer key.
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Difficulty rating: 1050
4.
A digital watch displays hours and minutes with AM and PM. What is the largest possible sum of the digits in the display?
Solution:
The two minutes digits sum to at most at minutes past the hour. For the hour, a single digit gives digit sum which beats any two-digit hour give at most
The largest total is occurring at
Thus, the correct answer is E.
Problem 4 in Other Years
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