Solution: Determining the Day of the Week
The problem requires finding the day of the week for 7th March 2019, given that 4th March 2018 was a Wednesday.
Step 1: Calculate Day Shift for One Full Year
First, determine the day of the week for 4th March 2019.
The duration between 4th March 2018 and 4th March 2019 is exactly one year.
The year 2019 is not a leap year, so there are 365 days in this period.
To find the shift in the day of the week, calculate the remainder of 365 days divided by 7:
$ 365 \mod 7 $
$ 365 = (52 \times 7) + 1 $
The remainder is 1. This means 4th March 2019 will be exactly 1 day after Wednesday.
Therefore, 4th March 2019 falls on a Thursday.
Step 2: Calculate Day Shift to Target Date
Next, calculate the number of days between 4th March 2019 and the target date, 7th March 2019.
Number of days = Target Date Day - Start Date Day
$ \text{Number of days} = 7 - 4 = 3 \text{ days} $
Step 3: Determine the Final Day
Starting from the day of the week for 4th March 2019 (Thursday), count forward 3 days:
- 4th March 2019: Thursday
- 5th March 2019: Friday
- 6th March 2019: Saturday
- 7th March 2019: Sunday
Thus, 7th March 2019 will be a Sunday.
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