It is known that in January there are four Fridays and four Mondays. What day of the week is January 1st?
Notice that neither January 1st, nor January 2nd, nor January 3rd can fall on a Monday or a Friday.

## Solution

Neither January 1st, nor January 2nd, nor January 3rd can fall on a Monday or a Friday, as in such cases, January 29th, 30th, or 31st would be the fifth Friday or the fifth Monday of the month. Our condition can only be met if January 1st, 2nd, and 3rd fall on Tuesday, Wednesday, and Thursday, respectively. Therefore, January 1st is a Tuesday.

## Answer

It is Tuesday.