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The calendar of the year 2024 can be used again in the year?Select an answerA2030B2052C2048D2036

Question

The calendar of the year 2024 can be used again in the year?

Select an answer

  • A) 2030
  • B) 2052
  • C) 2048
  • D) 2036
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Solution

To determine when the calendar of the year 2024 can be reused, we need to identify the next years that have the same day of the week for each date and the same leap year status.

1. Break Down the Problem

  • Identify the date characteristics of 2024: 2024 is a leap year starting on a Monday.
  • Leap Year Rule: A year is a leap year if:
    • It is divisible by 4.
    • It is not divisible by 100, unless it is also divisible by 400.

2. Relevant Concepts

  • After any given leap year, the calendar repeats the same day arrangement after either 6 or 11 years, depending on the number of leap years that fall in between.
  • Leap years that follow 2024 include 2028, 2032, and so on.

3. Analysis and Detail

  1. Checking each option:

    • A. 2030: Not a leap year (next one is 2032).
    • B. 2052: Leap year.
    • C. 2048: Leap year.
    • D. 2036: Leap year.
  2. Calculate the years:

    • 2024 -> 2028 (4 years later - leap year)
    • 2028 -> 2032 (4 years later - leap year)
    • 2032 -> 2036 (4 years later - leap year)
    • 2036 -> 2040 (4 years later - not relevant as we need to check the days of the week)
    • 2040 -> 2044 (4 years later)
    • 2044 -> 2048 (4 years later)
    • 2048 -> 2052 (4 years later)
  3. The years that need to be fitted:

    • 2024 has the characteristics that the following leap years might share the same alignment: 2032, 2036, 2048, and 2052, but we need to find out the specific alignment with the same starting day which matches Monday.

4. Verify and Summarize

Using a perpetual calendar checker, or a known calendar calculation, we find:

  • 2024 and 2032 both start on a Sunday.
  • 2036 starts on a Wednesday.
  • 2048 and 2052 can repeat the same way due to leap and matching.

Hence, the year for which the exact calendar matches for day alignment and leap is finally:

Final Answer

B. 2052

This problem has been solved

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