There are six questions below

A doctor is scheduling one appointment each with five patients—J, K, L, M, and N. The five appointments will be consecutive and are numbered 1 through 5, from earliest to latest. The doctor must schedule at least four of the patients for appointments preferred by those patients and cannot schedule any patient for an appointment unac- ceptable to that patient. The following is a complete list of what the patients prefer and, if they do not receive their preferences, will accept：

J prefers an appointment earlier than appointment 3, but will accept any appointment.

K prefers appointment 2, but will accept any appoint- ment except appointment 1.

L prefers appointment 1, but will accept appointment 5.

M prefers and will accept only an appointment later than appointment 3.

N prefers and will accept only appointment 3.

Which of the following lists the patients in an order in which their scheduled appointments can occur, from appointment 1 through appointment 5 ？

If J is scheduled for appointment 2, which of the following can be true？

If L is scheduled for appointment 5, which of the following must be true？

Which of the following is a complete and accurate list of patients any one of whom can be the patient scheduled for appointment 2？

If M is scheduled for appointment 5, which of the following can be true of the scheduling？

If K's appointment is scheduled for a time later than N's appointment, which of the following must be true？