Calculate Day of Week: August to November 2021
The question asks for the day of the week on 1 November 2021, given that 1 August 2021 was a Sunday. We need to calculate the total number of days between these two dates and find the remainder when divided by 7 (odd days).
Calculating Days Between Dates
We count the number of days starting from the day after 1 August 2021 up to 1 November 2021.
- Days remaining in August: 31 days (total days in August) - 1 day = 30 days.
- Days in September: 30 days.
- Days in October: 31 days.
- Days in November until the target date: 1 day (i.e., 1 November).
Total number of days = 30 (August) + 30 (September) + 31 (October) + 1 (November) = 92 days.
Determining the Final Day
To find the day of the week, we calculate the number of odd days by taking the total number of days modulo 7.
Number of odd days = $\frac{92}{7}$
Calculating the remainder:
$92 \div 7 = 13$ with a remainder of $1$.
So, there is $1$ odd day.
The starting date, 1 August 2021, was a Sunday. We add the number of odd days to find the day on 1 November 2021.
Day on 1 November 2021 = Sunday + 1 odd day = Monday.
Therefore, 1 November 2021 was a Monday.
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