If the 3rd day of a given month falls on a Friday, on which day of the week will the 24th day of the same month fall?

The correct option is Friday.

Step-by-Step Explanation:

1. We are given that the 3^rd day of a given month falls on a Friday.

2. We need to determine the day of the week for the 24^th day of the same month.

3. Calculate the number of days between the 24^th day and the 3^rd day:

$\text{Difference in days}=24-3=21\text{days}$

4. Since there are 7 days in a week, any time interval that is an exact multiple of 7 days will land on the exact same day of the week.

5. Divide the total difference in days by 7 to check the number of weeks and remaining extra days (odd days):

$21÷7=3\text{weeks (with a remainder of}0\text{days)}$

6. Since the remainder is 0, adding 21 days to Friday brings us to the same day of the week, which is Friday.

Therefore, the 24^th day of the month will also fall on a Friday.