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number theory senior
Problem
The War of started with a declaration of war on Thursday, June , . The peace treaty to end the war was signed days later, on December , . On what day of the week was the treaty signed?
(A)
(B)
(C)
(D)
Solution
To find what day of the week it is in days, we have to divide by to see the remainder, and then add the remainder to the current day. We get that has a remainder of 2, so we increase the current day by to get . Note that the dates themselves (and thus leap years) can be ignored, as we only need the number of days that passed to figure out the day of the week.
Final answer
B