If it was Saturday on 17th December, 2002, then what was the day on 22nd December, 2004 ?

Options

A. Monday
B. Sunday
C. Friday
D. Tuesday

Answer

To determine the day of the week on 22nd December 2004, given that it was Saturday on 17th December 2002, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the starting point**:
- We know that 17th December 2002 is a Saturday.

2. **Calculate the number of years between the two dates**:
- From 17th December 2002 to 17th December 2004 is 2 years.

3. **Determine the type of years**:
- 2003 is a common year (365 days).
- 2004 is a leap year (366 days).

4. **Calculate the number of odd days for each year**:
- A common year has 1 odd day (365 days = 52 weeks + 1 day).
- A leap year has 2 odd days (366 days = 52 weeks + 2 days).
- Therefore, for 2003, we have 1 odd day, and for 2004, we have 2 odd days.

5. **Total odd days from 17th December 2002 to 17th December 2004**:
- Total odd days = Odd days from 2003 + Odd days from 2004 = 1 + 2 = 3 odd days.

6. **Calculate the days from 17th December 2004 to 22nd December 2004**:
- The difference between 22nd December and 17th December is 5 days.

7. **Combine the total odd days**:
- Total odd days = 3 (from the years) + 5 (from the days) = 8 odd days.

8. **Determine the day of the week**:
- Since 7 days make a week, we can find the effective odd days by taking 8 mod 7.
- 8 mod 7 = 1, which means there is 1 extra day after completing full weeks.

9. **Find the final day**:
- Starting from Saturday (17th December 2002), adding 1 day gives us Sunday.

### Final Answer:
The day on 22nd December 2004 is **Sunday**.