Explanation:

Correct option:3

 31 January 2022 was a Monday.

Let's find the day on 31 January 1922, which is 100 years ago.

Normally, each year, the day advances by 1 day (since a normal year has 365 days).

In 100 years, it advances by 100 days.

But, we need to account for leap years. Every leap year adds an extra day.

Between 1922 and 2022, let's count the leap years:

 Leap years between 1922 and 2021: 1924, 1928, 1932, ..., 2020.

Total leap years = ((2020 - 1924)/4) + 1 = (96/4) + 1 = 24 + 1 = 25.

So, 100 years = 100 normal years + 25 extra days (for leap years) = 125 days ahead.

Now, dividing 125 by 7: 125 ÷ 7 = 17 weeks and 6 days.

The weekday shifts backward by 6 days.

 Monday - 6 days = Tuesday

Hence tuesday is the correct answer.