If the $4\text{th}$ day of a month is Friday, which of the following would be the $3\text{rd}$ day after the $25\text{th}$ day of that month?

Given that the $4\text{th}$ day of the month is Friday.
We need to find the day which is the $3\text{rd}$ day after the $25\text{th}$ day:

$$\text{Target date}=25+3=28\text{th day}$$

Since calendar days repeat every $7$ days, adding multiples of $7$ to the $4\text{th}$ day:

* $4\text{th}$ day = Friday
* $4+7=11\text{th}$ day = Friday
* $11+7=18\text{th}$ day = Friday
* $18+7=25\text{th}$ day = Friday

Now, counting forward from the $25\text{th}$ day (Friday):

* $26\text{th}$ day = Saturday
* $27\text{th}$ day = Sunday
* $28\text{th}$ day = Monday

Therefore, the required day is Monday.