If January 1, 2024, was a Monday, what day of the week will January 1, 2025, be?
Wednesday
The problem gives that January 1, 2024 was a Monday and asks for the day on January 1, 2025, exactly one year later.
The day advances by the number of 'odd days', that is the remainder left after dividing the total number of days by 7.
The span from 1 January 2024 to 1 January 2025 covers the whole of the year 2024, and 2024 is a leap year, so it has \(366\) days.
Dividing by 7 gives \(366 = 52 \times 7 + 2\), so there are \(2\) odd days.
We therefore move 2 weekdays forward from Monday: Monday \(\to\) Tuesday (one day) \(\to\) Wednesday (two days).
A common slip is to use 1 odd day for an ordinary year; here the leap year 2024 contributes an extra day, making 2 odd days.
Hence January 1, 2025, will be Wednesday
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