2000 AMC 12 Problems/Problem 18
Problem
In year , the day of the year is a Tuesday. In year , the day is also a Tuesday. On what day of the week did the th day of year occur?
Solution
There are either or days between the first two dates depending upon whether or not year is a leap year. Since divides into , then it is possible for both dates to be Tuesday; hence year is a leap year and is not a leap year. There are days between the date in years , which leaves a remainder of upon division by . Since we are subtracting days, we count 5 days before Tuesday, which gives us Thursday .
See also
2000 AMC 12 (Problems • Answer Key • Resources) | |
Preceded by Problem 17 |
Followed by Problem 19 |
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