AMC 10 Step by Step
2000 AMC 10Problem 25P21-25~6 minPrint

In year NN , the 300th300^{\text{th}} day of the year is a Tuesday. In year N+1N+1 , the 200th200^{\text{th}} day is also a Tuesday. On what day of the week did the 100100 th day of year N1N-1 occur?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site. Also appeared as 2000 12 #18.