The calendar for the year 2025 will be the same as that for the year
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 2031
A later year has the same calendar as 2025 when it is also an ordinary year and the years from 2025 up to it add up to 0 odd days, so that it starts on the same day. An ordinary year gives 1 odd day, a leap year 2.
2025, 2026, 2027, 2029, 2030: 1 odd day each, 5 in all
2028 is a leap year: 2 odd days
Total from 2025 to 2030 \(=5+2=7\), so 0 odd days and 2031 starts on the same day as 2025
2031 is not a leap year, like 2025, so the two calendars match
Why the other options are incorrect
Option (1) 2029 — Incorrect. 2025 to 2028 give \(1+1+1+2=5\) odd days, so 2029 starts 5 days later in the week.
Option (3) 2032 — Incorrect. 2032 is a leap year, so it has a 29th February that 2025 does not have.
Option (4) 2035 — Incorrect. 2025 to 2034 give 12 odd days, which leaves 5, so 2035 starts 5 days later in the week.