Mahatma gandhi was born on 2 october 1969 what was the day of the week

Answer

To determine the day of the week on October 2, 1969, we will follow a systematic approach to calculate the number of odd days and then find the corresponding day of the week.

### Step-by-Step Solution:

1. **Understand the Concept of Odd Days**:
Odd days are the extra days that remain after dividing the total number of days by 7. A week has 7 days, so we will find the total number of days and then calculate the odd days.

2. **Calculate Days from 1 AD to 1968**:
- **Count the Centuries**:
- From 1 AD to 1600 AD, there are 1600 years.
- 1600 is divisible by 400, so it contributes 0 odd days.
- From 1601 to 1900 (300 years), there are 3 complete centuries, each contributing 5 odd days:
- 5 days × 3 = 15 odd days.
- 15 odd days divided by 7 gives a remainder of 1 (15 mod 7 = 1).
- **Count the Years from 1901 to 1968**:
- There are 68 years.
- Leap years in this range: 1904, 1908, ..., 1968.
- The leap years can be calculated as: 68/4 = 17 leap years.
- Normal years = 68 - 17 = 51.
- Odd days from normal years = 51 × 1 = 51.
- Odd days from leap years = 17 × 2 = 34.
- Total odd days = 51 + 34 = 85.
- 85 odd days divided by 7 gives a remainder of 1 (85 mod 7 = 1).

3. **Combine Odd Days from Centuries and Years**:
- Total odd days from 1 AD to 1968 = 0 (from centuries) + 1 (from 1968) = 1 odd day.

4. **Count Days from January 1, 1969, to October 2, 1969**:
- Count the days in each month:
- January: 31 days → 31 mod 7 = 3 odd days.
- February: 28 days (1969 is not a leap year) → 28 mod 7 = 0 odd days.
- March: 31 days → 31 mod 7 = 3 odd days.
- April: 30 days → 30 mod 7 = 2 odd days.
- May: 31 days → 31 mod 7 = 3 odd days.
- June: 30 days → 30 mod 7 = 2 odd days.
- July: 31 days → 31 mod 7 = 3 odd days.
- August: 31 days → 31 mod 7 = 3 odd days.
- September: 30 days → 30 mod 7 = 2 odd days.
- October: 2 days → 2 mod 7 = 2 odd days.
- Total odd days from January to October 2:
- 3 + 0 + 3 + 2 + 3 + 2 + 3 + 3 + 2 + 2 = 23 odd days.
- 23 odd days divided by 7 gives a remainder of 2 (23 mod 7 = 2).

5. **Combine All Odd Days**:
- Total odd days = 1 (from 1968) + 2 (from 1969) = 3 odd days.

6. **Determine the Day of the Week**:
- If we consider January 1, 1969, as a Wednesday (which it is), we can find the day of the week for October 2, 1969:
- Starting from Wednesday (0), add the total odd days (3):
- Wednesday (0) + 3 = Saturday (3).
- Therefore, October 2, 1969, was a **Thursday**.

### Final Answer:
**October 2, 1969, was a Thursday.**