Using odd days, find the day of the week on which India became independent, 15 August 1947.

Explanation

1. 01

   Complete years = 1946: 1600 years give 0 odd days and 300 years give 1.

2. 02

   46 years (1901–1946) have 11 leap years and 35 ordinary ones: $22 + 35 = 57$, and $57 = 8 \times 7 + 1$ gives 1.

3. 03

   January to July 1947: $3 + 0 + 3 + 2 + 3 + 2 + 3 = 16$ odd days, which is 2. Then 15 days of August give 1.

4. 04

   Total $1 + 1 + 2 + 1 = 5$. With 0 = Sunday, 5 = Friday.