CAT 2019 Slot 2 DILR Set 4 Q13–Q16

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2019 Slot 2, with 4 questions (Scheduling). Answers are CAT's official key.

The set

This set relies on a figure in the original paper, which is not reproduced here. The questions and answers are below.

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.

[Figure in the original paper]

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 13

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
  4. D
    12

Answer: (C) 31 Scheduling MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 14

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) Dr. Kane Scheduling MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 15

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) Monday Scheduling MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 16

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) 0 Scheduling MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Same concept in other years

See every question on Queue simulation: arrivals served by counters/rides/doctors in time slots.

More Scheduling questions from CAT

All 41 Scheduling questions asked since 2017.