The first republic day of india was celebrated on 26 th january 1950 it was

Options

A. Monday
B. Tuesday
C. thursday
D. FRiday

Answer

To determine the day of the week for 26th January 1950, we can follow these steps:

### Step 1: Identify the completed year and the ongoing year
- The completed year is 1949 (the year before 1950).
- The ongoing year is 1950, specifically up to 26th January.

### Step 2: Calculate the number of leap years from 1 AD to 1949
- A leap year occurs every 4 years, but years divisible by 100 are not leap years unless they are also divisible by 400.
- From 1 AD to 1949, we need to count the leap years:
- The leap years from 1 to 1949 can be calculated as follows:
- Total years = 1949
- Leap years = 1949 / 4 = 487 (considering only whole numbers)
- Subtract the non-leap years (those divisible by 100): 1949 / 100 = 19
- Add back the leap years that are divisible by 400: 1949 / 400 = 4
- Therefore, the total leap years = 487 - 19 + 4 = 472.

### Step 3: Calculate the total number of odd days for the completed year (1949)
- Odd days = Total years + Leap years
- Total years = 1949
- Odd days = (1949 + 472) mod 7
- Total = 2421 mod 7 = 6 odd days.

### Step 4: Calculate the odd days for the month of January up to the 26th
- January has 31 days, so for 26th January, we consider 25 days (from 1st to 25th).
- The number of odd days in January = 25 mod 7 = 4 odd days.

### Step 5: Calculate the total odd days
- Total odd days = Odd days from completed year + Odd days from January
- Total odd days = 6 + 4 = 10.
- Now, calculate 10 mod 7 = 3 odd days.

### Step 6: Determine the day of the week
- We start from a known day. Let's assume 1st January 1949 was a Saturday (for calculation purposes).
- Counting 3 odd days from Saturday:
- 1st day: Sunday
- 2nd day: Monday
- 3rd day: Tuesday

Thus, 26th January 1950 was a **Tuesday**.

### Final Answer
The day on 26th January 1950 was **Tuesday**.

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