If 26th January, 2020 was a Sunday, then what day of the week was it on 16th March of that year?

The correct option is Tuesday.

Here is the step-by-step explanation to find the day of the week on 16th March 2020:

Step 1: Identify the Leap Year
The year given is 2020. Since 2020 is divisible by 4, it is a leap year. Therefore, February in 2020 has 29 days.

Step 2: Count the Total Number of Days
To find the day of the week, we count the total number of days starting from 26th January up to 16th March:
- January: Counting from the starting day of 26th January to 31st January, we have 6 days (26th, 27th, 28th, 29th, 30th, and 31st).
- February: 29 days (since it is a leap year).
- March: 16 days (up to 16th March).

Now, we sum these days to get the total number of days:

$$\text{Total Days}=6+29+16=51\text{ days}$$

Step 3: Calculate the Odd Days
We divide the total number of days by 7 (the number of days in a week) to find the number of weeks and the remaining odd days:

$$51=(7\times 7)+2$$

This division gives us 7 complete weeks and a remainder of 2 odd days.

Step 4: Find the Final Day
Since 26th January was a Sunday, we add the 2 odd days to Sunday to find the day on 16th March:
- Sunday + 1 day = Monday
- Sunday + 2 days = Tuesday

Therefore, 16th March 2020 was a Tuesday.