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Which one of the following years will have identical calendar with the year 2025?
Explanation
A calendar year is identical to another if they share the same starting weekday and the same number of days (365 for ordinary years and 366 for leap years) [1]. The year 2025 is an ordinary year starting on a Wednesday [1]. To find the next identical year, we calculate the accumulation of odd days. An ordinary year has 1 odd day (365 mod 7 = 1), and a leap year has 2 odd days (366 mod 7 = 2) [1]. Starting from 2025: 2025 (1), 2026 (1), 2027 (1), 2028 (2 - leap year), 2029 (1), and 2030 (1). The sum of odd days from 2025 to 2030 is 1+1+1+2+1+1 = 7. Since 7 days make a complete week, the calendar for 2031 will start on the same weekday as 2025. As 2031 is also an ordinary year, it is identical to 2025.
Sources
- [1] Exploring Society:India and Beyond. Social Science-Class VI . NCERT(Revised ed 2025) > Chapter 4: Timeline and Sources of History > How Is Time Measured in History? > p. 62
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