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Updated on: 23 Feb 2026, 12:46
Originally posted by Sajjad1994 on 01 Nov 2020, 02:52.
Last edited by Bunuel on 23 Feb 2026, 12:46, edited 3 times in total.
Last edited by Bunuel on 23 Feb 2026, 12:46, edited 3 times in total.
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Must
occur: Sanjay’s appointment is on Day 1.
occur: Sanjay’s appointment is on Day 1.
Cannot
occur: The 1 p.m. appointment on Day 1 is for a cleaning.
occur: The 1 p.m. appointment on Day 1 is for a cleaning.
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
77% (03:31) correct
23%
(03:38)
wrong
based on 678
sessions
History
Date
Time
Result
Not Attempted Yet
Peterson's
A dentist is scheduling ten appointments, five on each of two consecutive days. These appointments may be for cleanings, fillings, or root canals, according to the following rules:
All but four of the appointments have been scheduled already, as shown in the table below. Masha, Melissa, Sanjay, and Xavier will take the remaining four time slots, one time slot each. Xavier needs a root canal and Sanjay is not available after 11 a.m. on Day 2.
In the table below, select Must occur for the appointment that is certain to occur as described in The statement, and select Cannot occur for the appointment that is certain not to occur as described in the statement. Make only one selection in each column.
A dentist is scheduling ten appointments, five on each of two consecutive days. These appointments may be for cleanings, fillings, or root canals, according to the following rules:
- No more than two root canals can be scheduled on the same day.
- Root canals must be scheduled before noon.
- In total, at least three fillings must be scheduled between the two days.
All but four of the appointments have been scheduled already, as shown in the table below. Masha, Melissa, Sanjay, and Xavier will take the remaining four time slots, one time slot each. Xavier needs a root canal and Sanjay is not available after 11 a.m. on Day 2.
| Day 1 | Day 2 | |
| 9:00 am | ||
| 10:00 am | Root Canal | Cleaning |
| 11:00 am | Root Canal | Cleaning |
| Noon | Cleaning | |
| 1:00 pm | Cleaning |
In the table below, select Must occur for the appointment that is certain to occur as described in The statement, and select Cannot occur for the appointment that is certain not to occur as described in the statement. Make only one selection in each column.
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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|
Must occur |
Cannot occur |
|
| Sanjay’s appointment is on Day 1. | ||
| Sanjay’s appointment is at 9 a.m. | ||
| Masha’s appointment is on Day 1. | ||
| Melissa’s appointment is at noon. | ||
| Melissa’s appointment is on Day 2. | ||
| The 1 p.m. appointment on Day 1 is for a cleaning. |
ShowHide Answer
Official Answer
Must
occur: Sanjay’s appointment is on Day 1.
occur: Sanjay’s appointment is on Day 1.
Cannot
occur: The 1 p.m. appointment on Day 1 is for a cleaning.
occur: The 1 p.m. appointment on Day 1 is for a cleaning.
02 Nov 2020, 00:49
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Sajjad1994
All but four of the appointments have been scheduled already, as shown in the table below. Masha, Melissa, Sanjay, and Xavier will take the remaining four time slots, one time slot each. Xavier needs a root canal and Sanjay is not available after 11 a.m. on Day 2.
| Day 1 | Day 2 | |
| 9:00 am | ||
| 10:00 am | Root Canal | Cleaning |
| 11:00 am | Root Canal | Cleaning |
| Noon | Cleaning | |
| 1:00 pm | Cleaning |
- No more than two root canals can be scheduled on the same day
- Root canals must be scheduled before noon........2 root canals done on Day 1, so any root canal will be done on day 2 before noon. Thus Xavier MUST be at 9:00 am on Day 2.
- In total, at least three fillings must be scheduled between the two days............There are no fillings confirmed. So the remaining 4 have to be 3 fillings and 1 root canal of Xavier
In the table below, select Must occur for the appointment that is certain to occur as described in The statement, and select Cannot occur for the appointment that is certain not to occur as described in the statement. Make only one selection in each column.
Sanjay’s appointment is on Day 1.............YES, Sanjay must be getting his filling done and on day 1.
Sanjay’s appointment is at 9 a.m..............Not necessary, as the restriction on time is only on day 2.
Masha’s appointment is on Day 1.....There are no restriction as far as Melissa and Masha are concerned
Melissa’s appointment is at noon.
Melissa’s appointment is on Day 2.
The 1 p.m. appointment on Day 1 is for a cleaning.........CANNOT be true, because remaining 3 slots are for filling apart from 1 root canal
06 Sep 2024, 03:28
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Shouldn't the question need to mention that Root Canal, Filling and Cleaning - are 3 different kind of services available at the clinic?
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Two-part Analysis (TPA) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
