The calendar for the year 2019 will be the same for the year:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 2030
Two years have the same calendar when they start on the same day of the week and are of the same kind (both ordinary or both leap years). The starting day moves forward by the odd days of each year: 1 for an ordinary year of 365 days and 2 for a leap year of 366 days. 2019 is an ordinary year, so the odd days are added year by year until the total is a multiple of 7:
2019, 2020 (leap), 2021, 2022, 2023: \(1+2+1+1+1=6\)
2024 (leap), 2025, 2026, 2027: \(6+2+1+1+1=11\)
2028 (leap), 2029: \(11+2+1=14\), a multiple of 7
So 2030 starts on the same day as 2019, and 2030 is also an ordinary year, so the two calendars are the same.