Discussion
What day of the week was 15th August 1947 ?
Answer: C
Correct answer: Friday
Count the odd days up to that date. 1600 years give 0, the next 300 give 1, and the 46 years from 1901 to 1946 give \(35 + 22 = 57\), that is 1 odd day.
From 1 January to 15 August 1947 is 227 days, and \(227 = 32 \times 7 + 3\), giving 3 more.
\[0 + 1 + 1 + 3 = 5 \text{ odd days}\]
Counting 0 as Sunday, 5 odd days lands on Friday.
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