If $1^{st}$ Jan, 2019 is Tuesday, then $1^{st}$ Jan 2022 will be :

Saturday

If we check between $1^{st}$ Jan, 2019 and $1^{st}$ Jan, 2022 there is one leap year and 3 years.

So, when we have to find the day on the same date but on different year then we add 1 to the given date for going to next year.

So, if the year is ordinary we add 1 and if the year is leap we add 2 days.

So, The day will be 2 + 1 + 1 = 4 days after the given day.

So, If $1^{st}$ Jan, 2019 is Tuesday, then $1^{st}$ Jan 2022 will be Saturday