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UPSC CSE 2024 · PYQ · Calendars · medium

The calendar for the year 2025 is same for

  1. A.2029
  2. B.2030
  3. C.2031✓ Correct
  4. D.2033

Explanation

A calendar repeats when the total number of odd days between the years sums to 0 (mod 7) and both years start on the same day of the week with same leap year status. 2025 is a non-leap year starting on Wednesday. Counting odd days from 2025: 2025(1) + 2026(1) + 2027(1) + 2028(2, leap) + 2029(1) + 2030(1) = 7 ≡ 0 odd days by end of 2030, so 2031 starts the same day as 2025. Also 2031 is a non-leap year like 2025. Hence the calendar of 2025 repeats in 2031.
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