The objective is to determine the day of the week for January 26, 2003, given that January 1, 2001, was a Monday. This will be achieved by calculating the total number of days between these two dates and then determining the corresponding day of the week.
Step 1: Tally the number of days within each relevant year:
Year 2001: As 2001 is not a leap year, it contains 365 days.
Year 2002: 2002 is also not a leap year, thus containing 365 days.
January 2003: The period from January 1 to January 26, 2003, comprises 26 days.
Step 2: Sum the total number of days:
Total Days = 365 (2001) + 365 (2002) + 26 (2003) = 756 days.
Step 3: Ascertain the day of the week by dividing the total days by 7:
756 ÷ 7 = 108 weeks with a remainder of 0 days
A remainder of 0 indicates that January 26, 2003, falls on the same day of the week as January 1, 2001. Given that January 1, 2001, was a Monday: