To celebrate the first day of a leap year, I taught my dog to jump through a hoop. It was a Sunday. When he taught me the same trick the first day of the next year, it was a ?
A. Sunday
B. Monday
C. Tuesday
D. Wednesday
LOL 2012 was a leap year beginning on Sunday
http://www.calendarlabs.com/online-calendar.php?y=2012
Tuesday
thanks bro
You are welcome :)
by the way
366/7 = 52 remainder 2 days
Sunday - Monday is one
Monday - Tuesday is two
so we land there on Tuesday
To determine the day of the week for the first day of the next year, we need to understand how leap years and the days of the week work.
A leap year occurs every four years and contains an extra day, February 29th. The leap day is added to ensure that the calendar year aligns with the Earth's orbit around the sun, which takes approximately 365.25 days.
To find the day of the week for a given date, we can use the "Doomsday Algorithm" developed by mathematician John Horton Conway. This algorithm uses the concept of a "Doomsday," which is always a certain date within each year that falls on the same day of the week. By knowing the Doomsday for a specific year, we can determine the day of the week for any date in that year.
In this case, we need to find the Doomsday for the year in question, which is the first day of the next year. To calculate the Doomsday, we'll use the following steps:
1. Take the last two digits of the year (in this case, the next year).
- If the last two digits of the year are less than '00' (e.g., 20, 88, or 99), we add 100 to the result.
2. Divide the result by 12 and keep the remainder (known as the anchoring value).
3. Divide this anchoring value by 4 and keep the remainder.
4. Add the day of the month (1 in this case) to the anchoring value.
5. Determine the century's anchor day using a lookup table:
- For the 2000s, the anchor day is Tuesday.
- For the 1900s, the anchor day is Sunday.
- For the 1800s, the anchor day is Friday.
- For the 1700s, the anchor day is Wednesday.
6. Sum up the anchor day with the calculated value from steps 3 and 4.
7. Divide this total by 7 and take the remainder.
Now, let's calculate the Doomsday for the next year (which is a leap year) using the above steps:
1. Since the next year is not given, we'll assume you mean the next leap year after the current leap year. Leap years are divisible by 4, so adding '4' to the current leap year will give us the next leap year.
For example, if the current leap year is 2020, the next leap year will be 2024.
Therefore, the last two digits of the next year are '24'.
2. 24 divided by 12 equals 2, with a remainder of 0. So, the anchoring value is 0.
3. The remainder of '0' divided by 4 is 0.
4. Adding 1 (the day of the month) to the anchoring value of 0, we get 1.
5. Since the next year falls within the 2000s, the anchor day is Tuesday.
6. 0 + 0 + 1 + Tuesday = Tuesday.
7. Tuesday divided by 7 equals 0, with a remainder of 0.
Therefore, the Doomsday (the same day of the week that repeats throughout the year) for the first day of the next year (leap year) falls on a Tuesday.
So, the correct answer is C. Tuesday.