Q.

Find the day of the week on 16th July, 1776.

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a

Tuesday

b

Monday

c

Wednesday

answer is A.

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Detailed Solution

16th July, 1776 mean (1775 years+ 6 months+ 16 days) 

Now, 1600 years have O odd days. 

 100 years have 5 odd days

 75 years contain I 8 leap years and 57 ordinary years

 and therefore (36 + 57) or 93 or 2 odd days. 

  1775 years given 0 + 5 + 2 = 7 and so 0 odd days.

 Also number of days from IstJan.1776 to 16th July, 1776

Jan    Feb    March    April    May     June      July  31 + 29  +  31   +  30   +  31  +   30   +  16 

= 198 days = 28 weeks + 2 days = 2 odd days

  Total number of odd days= 0 + 2 = 2.

Hence the day on 16th July, 1776 was 'Tuesday'.

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