Q. The calendar for the year 2025 is same for
a) 2029
b) 2030
c) 2031
d) 2033
Correct answer: c) 2031
Question from UPSC Prelims 2024 CSAT
Explanation :
The calendar for the year 2025 is same as 2031.
Steps:
1. For calendars to be same, the number of days between the years must be divisible by 7
2. From 2025 to:
2029 = 4 years
2030 = 5 years
2031 = 6 years
2033 = 8 years
3. Leap years in between:
2025 to 2029: 1 leap year (2028)
2025 to 2030: 1 leap year (2028)
2025 to 2031: 1 leap year (2028)
2025 to 2033: 2 leap years (2028, 2032)
4. Total days:
2029: (4 × 365) + 1 = 1461 days
2030: (5 × 365) + 1 = 1826 days
2031: (6 × 365) + 1 = 2191 days
2033: (8 × 365) + 2 = 2922 days
5. Dividing by 7:
2029: 1461 ÷ 7 = 208.714…
2030: 1826 ÷ 7 = 260.857…
2031: 2191 ÷ 7 = 313 (exactly divisible)
2033: 2922 ÷ 7 = 417.428…
Answer: Option (c) 2031 is correct as 2191 days is exactly divisible by 7.
