What was the last day of the year 1889?
Show answer & explanation
Correct answer: B
Explanation
For 1600 years: 0 odd days.
In the next 200 years (from 1601 to 1800): 3 odd days.
From 1801 to 1888 (88 years):
Leap years in 88 years = 88/4 = 22
Ordinary years = 88 - 22 = 66
Odd days = (22 x 2) + (66 x 1) = 44 + 66 = 110 days.
Remainder when 110 is divided by 7 = 5 odd days.
Year 1889 (from January 1 to December 31):
Since 1889 is an ordinary year, it contains a total of 365 days.
Remainder when 365 is divided by 7 = 1 odd day.
Total odd days:
3 (1800) + 5 (1888) + 1 (1889) = 9 odd days. Dividing 9 by 7 yields a final remainder of 2.
Day Codes:
0 = Sunday
1 = Monday
2 = Tuesday
Therefore, the correct option is B) Tuesday.