Three Doctors Clinic Schedule

CAT 2019 Slot 2 · DILR · Hard · Scheduling

All CAT 2019 Slot 2 questionsMore Scheduling questionsAll CAT DILR

Passage / data set

Three doctors, Dr. Ben, Dr. Kane and Dr. Wayne visit a particular clinic Monday to Saturday to see patients. Dr. Ben sees each patient for 10 minutes and charges Rs. 100/-. Dr. Kane sees each patient for 15 minutes and charges Rs. 200/-, while Dr. Wayne sees each patient for 25 minutes and charges Rs. 300/-.

The clinic has three rooms numbered 1, 2 and 3 which are assigned to the three doctors as per the following table:

Room no.Monday & TuesdayWednesday & ThursdayFriday & Saturday
1BenWayneKane
2KaneBenWayne
3WayneKaneBen

The clinic is open from 9 a.m. to 11.30 a.m. every Monday to Saturday. On arrival each patient is handed a numbered token indicating their position in the queue, starting with token number 1 every day. As soon as any doctor becomes free, the next patient in the queue enters that emptied room for consultation. If at any time, more than one room is free then the waiting patient enters the room with the smallest number. For example, if the next two patients in the queue have token numbers 7 and 8 and if rooms numbered 1 and 3 are free, then patient with token number 7 enters room number 1 and patient with token number 8 enters room number 3.

Question 1 of 4

What is the maximum number of patients that the clinic can cater to on any single day?

  1. A.

    15

  2. B.

    30

  3. C.

    31

Answer

C

Explanation

Clinic open time = 150 minutes (9:00 AM to 11:30 AM). Dr. Ben can see 150/10=15150 / 10 = 15 patients. Dr. Kane can see 150/15=10150 / 15 = 10 patients. Dr. Wayne can see 150/25=6150 / 25 = 6 patients. Maximum total patients =15+10+6=31= 15 + 10 + 6 = 31.

Question 2 of 4

The queue is never empty on one particular Saturday. Which of the three doctors would earn the maximum amount in consultation charges on that day?

  1. A.

    Dr. Kane

  2. B.

    Dr. Wayne

  3. C.

    Dr. Ben

  4. D.

    Both Dr. Wayne and Dr. Kane

Answer

A

Explanation

On Saturday: Dr. Ben sees 15 patients ×\times Rs. 100 = Rs. 1500. Dr. Kane sees 10 patients ×\times Rs. 200 = Rs. 2000. Dr. Wayne sees 6 patients ×\times Rs. 300 = Rs. 1800. Dr. Kane earns the maximum amount.

Question 3 of 4

Mr. Singh visited the clinic on Monday, Wednesday, and Friday of a particular week, arriving at 8:50 a.m. on each of the three days. His token number was 13 on all three days. On which day was he at the clinic for the maximum duration?

  1. A.

    Friday

  2. B.

    Wednesday

  3. C.

    Same duration on all three days

  4. D.

    Monday

Answer

D

Explanation

By mapping patient entry times for token #13 on Monday, Wednesday, and Friday, Monday results in the longest stay at the clinic.

Question 4 of 4

On a slow Thursday, only two patients are waiting at 9 a.m. After that two patients keep arriving at exact 15 minute intervals starting at 9:15 a.m. -- i.e. at 9:15 a.m., 9:30 a.m., 9:45 a.m. etc. Then the total duration in minutes when all three doctors are simultaneously free is

  1. A.

    30

  2. B.

    10

  3. C.

    15

  4. D.

    0

Answer

D

Explanation

Analyzing doctors' free times shows there is no time slot where all three doctors are simultaneously free, so the duration is 0 minutes.

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace