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Question

What was the day of the week on 28th may 2006?


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Solution

Finding day on a given date:

28 May, 2006= (2005 years + Period from 1.1.2006 to 28.5.2006)

Odd days in 1600 years =0

Odd days in 400 years =0

5 years = (4 ordinary years +1 leap year) =(4×1+1×2)=6 odd days

January, February, March, April, May
(31+28+31+30+28)=148 days

148 days = (21 weeks +1 day) 1 odd day.

Total number of odd days =(0+0+6+1)=7=0 odd day.

Therefore, given day is sunday.

Hence, given day is sunday.


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