16 th july, 1776 means = 1775 years + period from 1st january to 16 july
Now, 1600 years have 0 odd days.
100 years have 5 odd days.
75 years = 18 leap years + 57 ordinary years
= (36 + 57) odd days = 93 odd days
= 13 weeks + 2 odd days = 2 odd days
Therefore, 1775 years have (0 + 5 + 2) odd days = 0 odd days.
Now, days from 1st Jan to 16 th july; 1776
Jan Feb March April May June July
31 + 29 + 31 + 30 + 31 + 30 + 16 = 198 days
= (28 weeks + 2 days) odd days
Therefore, total number of odd days = 2
So, the day of the week was Tuesday
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What was the day of the week on 12th January, 1979?
Number of odd days in (1600 + 300) years = (0 + 1) = 1 odd day.
78 years = (19 leap years + 59 ordinary years) = (38 + 59) odd days = 6 odd days
12 days of January have 5 odd days.
Therefore, total number of odd days= (1 + 6 + 5) = 5 odd days.
Therefore, the desired day was Friday.
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If a person has to work 8 continuous day & he gets a rest on the 9th day. If a person starts on Monday. What is the day of 12th rest day?
Each year have 365 days so 365/7 =1 remainder means there is one odd day in a year.... suppose there is Sunday on 1 jan 2009 then on 1st jan 2010 there must be MONDAY...
on14 feb 2005 there was Monday
on14 feb 2006 there was Tuesday
on14 feb 2007 there was Wednesday
on14 feb 2008 there was Friday because this was leap year which contains 2 odd days.
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