Step-by-step Solution:

Quick Solution

To find the day of the week for the same date in the next year, we need to find the number of "odd days" in the year that has passed. The day will shift forward by this number.

1. Identify the Year and Check for Leap Year

- The period between January 1, 2000, and January 1, 2001, is the entire year 2000.
- We must check if 2000 was a leap year. The rule for a century year (like 1900, 2000, etc.) is that it must be divisible by 400 to be a leap year.
- Since 2000 ÷ 400 = 5, the year 2000 was a leap year.

2. Find the Number of Odd Days

- An ordinary year has 365 days (which is 52 weeks + 1 odd day).
- A leap year has 366 days (which is 52 weeks + 2 odd days).
- Because 2000 was a leap year, it contributed 2 odd days.

3. Calculate the Final Day of the Week

- The day of the week for January 1, 2001, will be 2 days after the day for January 1, 2000.
- Starting Day: Saturday.
- Final Day = Saturday + 2 days = Monday.

Final Answer: January 1, 2001 would have been a Monday.