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Which one of the following statements about the doctor's schedule must be true?

  1. The maximum number of patients scheduled for a single day is two.

  2. The maximum number of patients scheduled for a single day is four.

  3. The maximum number of patients scheduled for a single day is three.

  4. The maximum number of patients scheduled for a single day is five.

The correct answer is: The maximum number of patients scheduled for a single day is three.

The correct statement is that the maximum number of patients scheduled for a single day is three. This can be inferred from the fact that the doctor sees a maximum of fifteen patients per week, and the doctor works for five days a week. If the doctor were to see four patients a day, the total number of patients seen in a week would exceed fifteen (4 patients/day x 5 days/week = 20 patients/week), which contradicts the given information. Similarly, if the doctor were to see only two patients a day, the total wouldn't reach the maximum limit of fifteen patients per week. Therefore, the only statement that logically fits is that the maximum number of patients scheduled for a single day is three.