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UPSC Prelims 2024CSATLogical ReasoningCalendars

Q38. 38. The calendar for the year 2025 is same for

A. 2029
B. 2030
C. 2031✓ Correct
D. 2033

Detailed Solution

✓ Correct Answer: Option C

A calendar repeats when the total number of odd days accumulated from the given year to the repeating year becomes a multiple of 7 (i.e., 0 odd days). A normal year has 1 odd day, and a leap year has 2 odd days.

We start counting from the year after the given year (2025). - 2025: 1 odd day - 2026: 1 odd day (Cumulative: 2) - 2027: 1 odd day (Cumulative: 3) - 2028: 2 odd days (Leap year) (Cumulative: 5) - 2029: 1 odd day (Cumulative: 6) - 2030: 1 odd day (Cumulative: 7) Since the cumulative sum of odd days reaches 7 (which is 0 mod 7) at the end of 2030, the calendar for 2025 will repeat in the year immediately following 2030, which is 2031.

This question tests knowledge of calendar concepts and the calculation of odd days.

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