Final answer:
For July to have exactly 4 Mondays and 4 Fridays with 31 days, the month must start on Friday and end on Sunday, but this option was not given in the choices provided.
Step-by-step explanation:
In certain years, July has exactly 4 Mondays and 4 Fridays, and if it has 31 days, we can determine the day on which the first of July falls. Since July has 31 days, let's arrange these days into full weeks: Week 1: 1–7 (7 days). Week 2: 8–14 (7 days). Week 3: 15–21 (7 days). Week 4: 22–28 (7 days). Week 5: 29–31 (3 days). For July to have exactly 4 Mondays and 4 Fridays, the month must start on Friday and end on Sunday. This is because the first Friday will be on the 1st, and the last will be on the 29th, which is the first day of the 5th week.
Thus, the 31 days of the month span exactly 4 Fridays. The correct answer is that the first of July in those years will be on a Friday, which was not one of the offered choices. The offered choices are incorrect based on the condition that July has exactly 4 Mondays and 4 Fridays. In years where July has exactly 4 Mondays and 4 Fridays, the first of July will be on a Thursday. To determine this, we can start by looking at the days of the week in the first week of July. If the first day of July is on a Monday, then there will be four Mondays in the month. Similarly, if the first day of July is on a Friday, then there will be 4 Fridays. By checking the days of the week for the first day of July in each of the options given, we find that the first of July will be on Thursday in such years.