Which date of June 2099 among the following is Sunday if 5 June 2022 is Sunday?

To solve this, we need to find the number of odd days between 5 June 2022 and 5 June 2099.

1. Calculate the number of years: From 2022 to 2099, there are 2099 - 2022 = 77 years.

2. Identify leap years: Leap years occur every 4 years. In the period from 2022 to 2099, the leap years are 2024, 2028, ..., 2096. Number of leap years = (2096 - 2024) / 4 + 1 = 72 / 4 + 1 = 18 + 1 = 19 leap years.

3. Calculate total odd days: Each ordinary year has 1 odd day. Each leap year has 2 odd days. Number of ordinary years = Total years - Leap years = 77 - 19 = 58 years. Total odd days = (58 ordinary years * 1 odd day/year) + (19 leap years * 2 odd days/year) Total odd days = 58 + 38 = 96 odd days.

4. Find the remainder when total odd days are divided by 7: 96 mod 7 = 5 odd days.

5. Determine the day of the week for 5 June 2099: If 5 June 2022 is Sunday, then 5 June 2099 will be Sunday + 5 days. Sunday + 5 days = Friday. So, 5 June 2099 is a Friday.

6. Find the Sunday date in June 2099: If 5 June 2099 is Friday, then: Friday = 5th Saturday = 6th Sunday = 7th

Therefore, 7 June 2099 is a Sunday.

The final answer is D