In Gregorian calendar reasoning, any given date in March of a particular year is claimed to fall on the same day of the week as the corresponding date in November of that same year (for example, 5 March and 5 November). For such a pair of corresponding dates, which of the following statements is correct?

Introduction:
This is a conceptual calendar question about the relationship between dates in different months of the same year. The statement claims that any particular date in March falls on the same day of the week as the same-numbered date in November of the same year. We have to decide whether this is true and, if so, how the days of the week line up.

Given Data / Assumptions:
We work in the standard Gregorian calendar. We compare a date in March (for example, 10 March) with the same numbered date in November (10 November) of the same year. We are not told whether the year is a leap year, so the statement must hold regardless of leap or non-leap status.

Concept / Approach:
Two dates in the same year will fall on the same day of the week if the number of days between them is a multiple of 7. Therefore, we simply need to calculate the number of days from a date in March to the corresponding date in November and check whether that count is divisible by 7. If it is always a multiple of 7, then the weekday is always the same.

Step-by-Step Solution:
Step 1: Consider the interval from March to November. The months from March to October in order are: March, April, May, June, July, August, September, October, then November. Step 2: Count total days from, say, 1 March to 1 November. March: 31 days. April: 30 days. May: 31 days. June: 30 days. July: 31 days. August: 31 days. September: 30 days. October: 31 days. Total = 31 + 30 + 31 + 30 + 31 + 31 + 30 + 31 = 245 days. Step 3: Check divisibility by 7. 245 = 7 * 35, which is exactly divisible by 7. Therefore, there are 245 days (a whole number of weeks) between 1 March and 1 November. Step 4: Extend to any date number. If 1 March and 1 November fall on the same weekday, then 2 March and 2 November, 3 March and 3 November, and so on, will also fall on the same weekday because the gap between each pair is also exactly 245 days, a multiple of 7.

Verification / Alternative check:
You can verify with a real calendar for any sample year, for example 2023 or 2024. Check 10 March and 10 November; they will fall on the same day of the week. Trying a leap year shows the same pattern, because February lies before March and does not change the day difference between March and November.

Why Other Options Are Wrong:
Not same day / Next day / Previous day: These would be correct only if the number of days between the dates was not a multiple of 7, but 245 is exactly 7 * 35. Depends on whether it is a leap year: The presence of 29 February affects days before March, but not the difference between March and November.

Common Pitfalls:
Some learners worry that leap years might disturb the pattern, but since both dates are after February, the extra day on 29 February does not alter the day difference between March and November. Others attempt to memorise patterns instead of using the simple multiple-of-7 approach.

Final Answer:
The dates in March and November with the same date number fall on the same day of the week.