Discussion

What was the day on 15th august 1947 ?

Answer: A

Count the odd days up to 15 August 1947.

\[ 1600 \text{ years} \rightarrow 0 \text{ odd days} \]

\[ 300 \text{ years} \rightarrow 1 \text{ odd day} \]

\[ 46 \text{ years} = 35 \text{ ordinary} + 11 \text{ leap} \rightarrow 35 + 22 = 57 \rightarrow 1 \text{ odd day} \]

From 1 January to 15 August 1947 (not a leap year):

\[ 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 227 = 32 \times 7 + 3 \]

\[ \text{total odd days} = 0 + 1 + 1 + 3 = 5 \]

Five odd days corresponds to Friday - India's Independence Day fell on a Friday.

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