What was the day of the week on 17th July, 1776? |
A) Wednesday
B) Thursday
C) Monday
D) Saturday
Correct Answer: A
Solution :
Period upto 17th July, 1776 |
= (1775 yr + Period from 1st January 1776 to 17th July, 1776) |
Counting of odd days |
In 1600 yr = 0 \[\Rightarrow \] In 100 yr = 5 |
75 yr = 18 leap years + 57 ordinary years |
\[=(18\times 2+57\times 1)\] odd days |
= 93 odd days |
= (13 weeks + 2 days) |
= 2 odd days |
\[\therefore \]1775 yr have \[(0+5+2)\]odd days |
= 7 odd days |
= 1 week + 0 odd day |
= 0 odd day |
Number of days between 1.1.1776 to 17.7.1776 |
January + February + March + April + May + June + July |
\[31+29+31+30+31+30+17\] |
= 199 days = 28 weeks + 3 odd days |
\[\therefore \]Total number of odd days \[=(3+0)=3\] |
Hence, the required day is Wednesday. |
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