CAT 2020 Slot 1 — DILR Question 15
Answer the next 4 questions based on the information given below.
The local office of the APP-CAB company evaluates the performance of five cab drivers, Arun, Barun, Chandan, Damodaran, and Eman for their monthly payment based on ratings infive different parameters (P1 to P5) as given below:
P1: timely arrival
P2: behaviour
P3: comfortable ride
P4: driver's familiarity with the route
P5: value for money
Based on feedback from the customers, the office assigns a rating from 1 to 5 in each of these parameters. Each rating is an integer from a low value of 1 to a high value of 5. The final rating of a driver is the average of his ratings in these five parameters. The monthly payment of the drivers has two parts – a fixed payment and final rating-based bonus. If a driver gets a rating of 1 in any of the parameters, he is not eligible to get bonus. To be eligible for bonus a driver also needs to get a rating of five in at least one of the parameters.
The partial information related to the ratings of the drivers in different parameters and the monthly payment structure (in rupees) is given in the table below:
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The following additional facts are known.
- Arun and Barun have got a rating of 5 in exactly one of the parameters. Chandan has got a rating of 5 in exactly two parameters.
- None of drivers has got the same rating in three parameters.
If Damodaran does not get a bonus, what is the maximum possible value of his final rating?
Answer & solution
3.6
- B
3.2
- C
3.8
- D
3.4
Damodaran does not get bonus. Hence, either he got a rating of 1 in one of the parameters or he did not get a rating of 5 in any of the parameters.
The average rating would be maximum when he gets 2 5-star ratings long with a 1-star rating.
∴ Average rating for Damodaran = (5 + 5 + 4 + 3 + 1)/5 = 18/5 = 3.6
Hence, option (a).