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The calendar for the year 2019 will be the same as the calendar for which of the following year?

Solution

✅ Correct Option: 2

For calendars to be identical, two conditions must be met:

  • Both years must start on the same day of the week
  • Both years must have the same type (both leap years or both non-leap years)

2019 is not a leap year since it's not divisible by 4.

A regular year has 365 days = 52 weeks + 1 day, so the next year starts 1 day later in the week.

A leap year has 366 days = 52 weeks + 2 days, so the next year starts 2 days later in the week.


Counting the day shift from 2019:

2019 → 2020 (leap year): shifts by 2 days

2020 → 2021: shifts by 1 day (total: 3 days)

2021 → 2022: shifts by 1 day (total: 4 days)

2022 → 2023: shifts by 1 day (total: 5 days)

2023 → 2024 (leap year): shifts by 1 day (total: 6 days)

2024 → 2025: shifts by 2 days (total: 8 days ≡ 1 day mod 7)

2025 → 2026: shifts by 1 day (total: 2 days)

2026 → 2027: shifts by 1 day (total: 3 days)

2027 → 2028 (leap year): shifts by 1 day (total: 4 days)

2028 → 2029: shifts by 2 days (total: 6 days)

2029 → 2030: shifts by 1 day (total: 7 days ≡ 0 days mod 7)


After 7 days of shift (one complete week), the starting day returns to the same day as 2019.

2030 is not divisible by 4, so it's not a leap year, matching 2019.

Therefore, the calendar for 2019 will be the same as 2030.

The answer is Option 2: 2030.

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