On what dates of march 2005 did Saturday fall

Options

A. 4th,5th,9th,12th
B. 5th,12th,19th,26th
C. 3rd,10th,17th,25th
D. 4th,11th,18th,25th

Answer

To determine the dates in March 2005 that fell on a Saturday, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Month and Year**:
We are looking at March 2005.

2. **Determine the Month Code for March**:
The month code for March is 4.

3. **Determine the Century Code for the Year 2000**:
The century code for the year 2000 is 6.

4. **Determine the Year Code for 2005**:
For the year 2005, we take the last two digits (05) and divide by 4.
- 05 divided by 4 gives us 1 (with a remainder of 1).
- So, the year code is 5 (the remainder).

5. **Calculate the Total**:
Now we add the date, month code, century code, and year code:
- Date: 1 (we will start with the 1st of March)
- Month Code: 4
- Century Code: 6
- Year Code: 5
- Total = Date + Month Code + Century Code + Year Code = 1 + 4 + 6 + 5 = 16

6. **Find the Day of the Week**:
Now, we need to find the day of the week for this total. We will take this total and divide it by 7 to find the remainder:
- 16 divided by 7 gives us a quotient of 2 and a remainder of 2.
- According to the day codes (0 = Saturday, 1 = Sunday, 2 = Monday, 3 = Tuesday, 4 = Wednesday, 5 = Thursday, 6 = Friday), a remainder of 2 corresponds to Monday.

7. **Identify Saturdays**:
Since March 1, 2005, is a Monday, we can find Saturdays by adding 5 days:
- March 5, 2005 (Saturday)
- Add 7 days to find the next Saturday: March 12, 2005
- March 19, 2005 (Saturday)
- March 26, 2005 (Saturday)

### Conclusion:
The Saturdays in March 2005 are:
- March 5
- March 12
- March 19
- March 26