Day Calculation: May 20 to August 26, 2018
This question requires calculating the day of the week for a future date based on a known past date. We need to find the total number of days between 20 May 2018 and 26 August 2018 and determine the day shift.
Counting Days Between Dates
First, calculate the number of days remaining in the starting month and the days in the intervening months, plus the days in the target month.
- Days remaining in May: Total days in May (31) - Given day (20) = 11 days.
- Days in June: 30 days.
- Days in July: 31 days.
- Days in August: 26 days (up to the target date).
Total number of days = Days left in May + Days in June + Days in July + Days in August
Total days = 11 + 30 + 31 + 26 = 98 days.
Determining the Day Shift
To find the day of the week, divide the total number of days by 7 (the number of days in a week) and check the remainder.
Calculation: $\frac{98 \text{ days}}{7 \text{ days/week}} = 14 \text{ weeks}$ with a remainder of 0.
A remainder of 0 means there is no shift in the day of the week. The day will be the same as the starting day.
Final Day Determination
Since 20 May 2018 was a Sunday, and the total number of days between the two dates is exactly 14 weeks (98 days), 26 August 2018 will also be a Sunday.
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