# 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.