Prove that any date in March of a year is the same day of the week cor...
We will show that the number of odd days between last day of February and last day of October is zero.
March April May June July Aug. Sept. Oct.
31 + 30 + 31 + 30 + 31 + 31 + 30 + 31
= 241 days
= 35 weeks
= 0 odd day
Number of odd days during this period = 0.
Thus, 1st March of an year will be the same day as 1st November of that year. Hence, the result follows
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Prove that any date in March of a year is the same day of the week cor...
Proof:
To prove that any date in March of a year is the same day of the week corresponding date in November of that year, we can use the concept of the Gregorian calendar and the fact that the calendar repeats itself every 400 years.
1. The Gregorian Calendar:
The Gregorian calendar is the most widely used calendar system today. It was introduced by Pope Gregory XIII in 1582 to correct the errors in the Julian calendar. The Gregorian calendar has a cycle of 400 years and is based on the Earth's orbit around the sun. It consists of 365 days in a common year and 366 days in a leap year.
2. March and November:
March and November are both months that have 31 days. This means that they have the same number of days in a year. Therefore, if a date in March falls on a certain day of the week, the corresponding date in November will also fall on the same day of the week.
3. The Repeating Pattern:
As mentioned earlier, the Gregorian calendar repeats itself every 400 years. This means that the same sequence of days of the week occurs every 400 years. Therefore, if a particular date in March falls on a certain day of the week in a specific year, the corresponding date in November will also fall on the same day of the week in the same year.
Conclusion:
Based on the above explanation, we can conclude that any date in March of a year is the same day of the week corresponding date in November of that year. Therefore, the correct answer is option 'A' - Same day.