August $$15^{\text{th}}$$ $$1992$$ was a Saturday. What day was August $$15^{\text{th}}$$ $$1991$$?

Solution

The interval from August $$15$$, $$1991$$ to August $$15$$, $$1992$$ includes February $$29$$, $$1992$$, so it contains $$366$$ days. Since $$366\equiv2\pmod7$$, the weekday shifts forward by two days. Therefore August $$15$$, $$1991$$ was Thursday.

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