In a certain leap year, the thirteenth of the month fill on Friday three times. What day of the week was 29 of February that year?
To find the day of the week for February 29th of a certain year, we need to consider a few factors. First, we need to determine if the year is a leap year. A leap year occurs every four years, with the exception of years divisible by 100, but not divisible by 400.
Now, to determine the first occurrence of the 13th of the month falling on a Friday, we need to look for patterns in the calendar.
Let's assume that the first occurrence of the 13th falling on a Friday in that leap year is in January. We know that there are 12 months in a year, so the second occurrence would be in February.
If the second occurrence of the 13th falling on a Friday is in February, that means we need to find out which day of the week February 1st falls on. This can be done by using the Zeller's Congruence algorithm, which calculates the day of the week for any given date.
Once we know the day of the week for February 1st, we can count forward to February 29th to determine the corresponding day.
So, to summarize the steps:
1. Check if the given year is a leap year using the leap year rules.
2. Figure out if the second occurrence of the 13th falling on a Friday is in February.
3. Calculate the day of the week for February 1st using Zeller's Congruence.
4. Count forward to February 29th to find the corresponding day of the week.
By following these steps, you will be able to determine the day of the week for February 29th of that particular leap year.