On which dates of December 2018 will be Wednesdays?
5, 12, 19 and 26
Finding the Wednesdays in December 2018
The question asks us to identify the specific dates in December 2018 that fell on a Wednesday. To solve this type of calendar question, we can determine the day of the week for a known date in December 2018 and then find the subsequent Wednesdays by adding 7 days each time.
Let's find the day of the week for a date in December 2018. Consulting a calendar for December 2018, we find that December 1st, 2018 was a Saturday.
- December 1st, 2018 - Saturday
- December 2nd, 2018 - Sunday
- December 3rd, 2018 - Monday
- December 4th, 2018 - Tuesday
- December 5th, 2018 - Wednesday
So, the first Wednesday in December 2018 was December 5th. Since there are 7 days in a week, the day of the week repeats every 7 days. Therefore, the subsequent Wednesdays will occur exactly 7 days after the previous one.
Starting from the first Wednesday on December 5th, 2018, we can list the dates of all Wednesdays in the month:
- December 5th, 2018 (First Wednesday)
- December 5th + 7 days = December 12th, 2018 (Second Wednesday)
- December 12th + 7 days = December 19th, 2018 (Third Wednesday)
- December 19th + 7 days = December 26th, 2018 (Fourth Wednesday)
Let's check if there is another Wednesday after December 26th:
- December 26th + 7 days = December 33rd. Since December only has 31 days, December 33rd is January 2nd, 2019, which is outside the month of December 2018.
Thus, the Wednesdays in December 2018 were on the 5th, 12th, 19th, and 26th.
Comparing this list with the given options, we find that the dates 5, 12, 19, and 26 match one of the options provided.
Revision Table for December 2018 Wednesdays
| Day of the Week | Dates in December 2018 |
|---|---|
| Saturday | 1, 8, 15, 22, 29 |
| Sunday | 2, 9, 16, 23, 30 |
| Monday | 3, 10, 17, 24, 31 |
| Tuesday | 4, 11, 18, 25 |
| Wednesday | 5, 12, 19, 26 |
| Thursday | 6, 13, 20, 27 |
| Friday | 7, 14, 21, 28 |
Additional Information on Calendar Calculations
Understanding how to calculate days of the week for specific dates involves concepts like odd days. An odd day is the number of days remaining after dividing the total number of days by 7 (the number of days in a week). For example, a normal year has 365 days, which is 52 weeks and 1 day. So, a normal year has 1 odd day. A leap year has 366 days, which is 52 weeks and 2 days, giving 2 odd days.
Leap years occur every 4 years, except for years divisible by 100 but not by 400. For example, 1900 was not a leap year, but 2000 was. 2018 was not a leap year.
While finding the dates for a specific month like December 2018 is easily done by locating the first occurrence of the required day and adding 7 days, for general date calculations across years, the concept of odd days is fundamental. By calculating the total number of odd days from a reference date (like January 1st, 1 A.D.) to the target date, one can determine the day of the week.
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