Analytical Reasoning Question No. 117
An operating-room schedule is being set up for Monday and Tuesday of a certain week. On each of the days, either one long and two short operations or else four short operations must be scheduled. For each operation, a surgeon—Chakravarty, Silvers, or Tyson—will be scheduled. Patients to be scheduled will be selected from among patients 1, 2, 3, 4, 5, 6, 7, 8, and 9. The following conditions will be met:
1. A surgeon cannot be scheduled to perform two consecutive operations on one day.
2. If a surgeon is scheduled for a long operation, he or she cannot be scheduled for any other operation on the same day.
3. If a long operation is performed, it must be the first operation scheduled for the day it is performed.
4. The operations for patients 1 and 3 will be long, and the operations for the other patients will be short.
5. Patient 1 must be operated on by Dr. Tyson, patients 2 and 4 by Dr. Silvers, and patients 7 and 8 by Dr. Chakravarty.
2. If a surgeon is scheduled for a long operation, he or she cannot be scheduled for any other operation on the same day.
3. If a long operation is performed, it must be the first operation scheduled for the day it is performed.
4. The operations for patients 1 and 3 will be long, and the operations for the other patients will be short.
5. Patient 1 must be operated on by Dr. Tyson, patients 2 and 4 by Dr. Silvers, and patients 7 and 8 by Dr. Chakravarty.
1. Which of the following could be the schedule of patients from the first to the last patient to be operated on during the two days?
| Option | Monday | Tuesday |
|---|---|---|
| A | 9, 8, 7, 6 | 1, 2, 5 |
| B | 1, 9, 5 | 7, 6 |
| C | 5, 3, 7 | 2, 4, 6, 9 |
| D | 3, 2, 8 | 4, 6, 9, 7 |
| E | 1, 8, 7 | 3, 6, 4 |
2. If patient 1 is scheduled for the first operation on Monday, the surgeons’ schedule for the other operations on Monday, in order of time, could be:
A. Chakravarty, Silvers B. Chakravarty, Tyson
C. Silvers, Tyson D. Tyson, Chakravarty E. Tyson, Silvers
3. If patients 1 and 2 are among those whose operations are scheduled for Monday, which of the following patients is among those whose operations must be scheduled for Tuesday or not scheduled at all for the two days?
A. 4 B. 5 C. 6 D. 8 E. 9
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