Discussion
Given that on 9th August 2016 is Saturday. What was the day on 9th August 1616 ?
Answer: A
The Gregorian calendar repeats exactly every 400 years, because 400 years contain a whole number of weeks:
\[ 400 \text{ years} \rightarrow 0 \text{ odd days} \]
\[ 2016 - 1616 = 400 \]
So 9 August 1616 fell on the same weekday, Saturday. The 400-year block contains 97 leap years, and \( 400 \times 365 + 97 = 146{,}097 \) days, which is exactly \( 20{,}871 \) weeks.
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