CAT 2019 Slot 2 — DILR Question 30
Answer the following questions based on the information given 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.
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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.
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?
Answer & solution
- A
Dr. Wayne
Dr. Kane
- C
Both Dr. Wayne and Dr. Kane
- D
Dr. Ben
The clinic is open from 9 a.m. to 11:30 a.m. i.e., for 150 minutes.
As the queue is never empty, in these 150 minutes, Dr. Ben can see 15 patients, Dr Kale can see 10 patients and Dr Wayne can see 6 patients and thereby earn Rs. 1,500, Rs. 2,000 and Rs. 1,800 respectively.
i.e. Dr. Kane earns the maximum amount in consultation charges on that day.
Hence, option (b).