Question

India got its Independence on $\text{15 August 1947}$. What was the day of the week ?

• A. Sunday
• B. Friday
• C. Thursday
• D. Tuesday

Answer 1

The correct option is B Friday

We shall first calculate the number of odd days till $\text{31 December 1946}$.
Number of odd days in the first 1600 years = 0 odd day
Number of odd days in the next 300 years = 1 odd day
Now, 46 years had 11 leap years and 35 ordinary years.
The number of odd days in $\text{46 years}=(2\times 11)+(1\times 35)=22+35=57=8\text{weeks and 1 odd day}$.
Now, we shall calculate the number of odd days in $1947$ till $\text{15 August}$.
Month January February March April May June July August
Days$3128313031303115=227$
$\text{227 days}=\text{32 weeks and 3 odd days}$.
So, the total number of odd days till $\text{15 August 1947}=0+1+1+3=5$.
On counting five days from Monday, we get Friday.
Therefore, $\text{15 August 1947}$ was a Friday.