To-day
Number Theory
Level
2
What was the day of the week on 16 july 1776
Friday
Saturday
Tuesday
Monday
Wednesday
Sunday
Thursday
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1 solution
16th July, 1776 = (1775 years + Period from 1st Jan, 1776 to 16th July, 1776) Counting of odd days :1600 years have 0 odd day. 100 years have 5 odd days. 75 years = (18 leap years + 57 ordinary years) = [(18 x 2) + (57 x 1)] odd days = 93 odd days = (13 weeks + 2 days) = 2 odd days. 1775 years have (0 + 5 + 2) odd days = 7 odd days = 0 odd day. Jan Feb March April May June July 31 + 29 + 31 + 30 + 31 + 30 + 16 = 198days= (28 weeks + 2 days) Total number of odd days = (0 + 2) = 2. Required day was 'Tuesday'.