Question

The calendar for the year 2025 is same for ____.

• A. 2029
• B. 2030
• C. 2033
• D. 2031

Hint:

Calendar repeats when odd days sum becomes a multiple of 7 and both years are of same type (leap/non-leap).

Answer 1

The Correct Option is D

Concept: Two years will have the same calendar if:

• The starting day of the year is same.

• Both years are either leap years or non-leap years.
Since 2025 is not a leap year, we need another non-leap year with the same day pattern. Step 1: Check whether 2025 is leap year or not.
A leap year is divisible by 4. \[ 2025 \div 4 \neq \text{integer} \] So, \[ 2025 \text{ is a non-leap year} \]

Step 2: Count odd days year by year.
For non-leap year: \[ 1 \text{ odd day} \] For leap year: \[ 2 \text{ odd days} \] Now: \[ 2026 = 1 \] \[ 2027 = 1 \] \[ 2028 = 2 \; (\text{leap year}) \] \[ 2029 = 1 \] \[ 2030 = 1 \] Total odd days: \[ 1+1+2+1+1=6 \]

Step 3: Check next year.
For 2031: Add one more odd day: \[ 6+1=7 \] \[ 7 \equiv 0 \pmod{7} \] This means the calendar repeats.

Step 4: Final conclusion.
Hence, the year having the same calendar as 2025 is: \[ \boxed{2031} \]