Discussion

On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?

Answer: D

Only the remainder on division by 7 matters - the odd days.

Step back one year from 8 February 2005 to 8 February 2004. That interval contains 29 February 2004, so it is 366 days long.

\[ 366 \rightarrow 2 \text{ odd days} \]

\[ \text{Tuesday} - 2 = \textbf{Sunday} \]

Going backwards the odd days are subtracted, and the leap day must be counted because 29 February 2004 lies inside the interval.

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