In a particular year, the month of January had exactly 4 Thursdays and 4 Sundays. On which day of the week did January 1st occur in the year?
Question
In a particular year, the month of January had exactly 4 Thursdays and 4 Sundays. On which day of the week did January 1st occur in the year?
Solution
The month of January has 31 days. If there are exactly 4 Thursdays and 4 Sundays, this means there are 8 days (4 Thursdays + 4 Sundays) that are accounted for.
Since a week has 7 days, this means that January 1st falls on the remaining day of the week after the 4 Thursdays and 4 Sundays.
The remaining day of the week is Friday.
Therefore, January 1st fell on a Friday.
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