Logical Reasoning

Arrangements

Medium

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 in five 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:

	P1	P2	P3	P4	P5	Fixed Payment	Bonus
Arun				4		Rs. 1000	Rs. 250 × Final Rating
Barun	3					Rs. 1200	Rs. 200 × Final Rating
Chandan			2			Rs. 1400	Rs. 100 × Final Rating
Damodaran		3				Rs. 1300	Rs. 150 × Final Rating
Eman					2	Rs. 1100	Rs. 200 × Final Rating

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 all five drivers get bonus, what is the maximum possible value of the monthly payment (in rupees) that a driver gets?

1960

1950

2050

1900

✅ Correct Option: 1

Slide 1/2

Understanding the set :

There are five cab driver - Arun, Barun, Chandan, Damodaran, and Eman, evaluated on five parameters -

P1: timely arrival

P2: behaviour

P3: comfortable ride

P4: driver's familiarity with the route

P5: value for money

on a scale of 1 to 5.

final rating of a driver is the average of his ratings in these five parameters

Two parts of monthly payments - 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.

This is a maxima minima set:

In this set not much information is given to us to fill the entire table directly,

Therefore, in this set rather than trying to solve the set directly we will go ahead with the questions and solve the set according to them.

Name	P1	P3	P4	P5	Fixed Payment	Bonus Formula
Arun			4		Rs.1000	Rs.250 × Final Rating
Barun	3				Rs.1200	Rs.200 × Final Rating
Chandan		2			Rs.1400	Rs.100 × Final Rating
Damodaran	3				Rs.1300	Rs.150 × Final Rating
Eman				2	Rs.1100	Rs.200 × Final Rating

Now we have to maximize the rating of all five drivers

Arun

= $5 + 4 + 3 + 4 + 3 = 19$ .

Rating = $19/5 = 3.80$

:. Arun Payment = $1000 + 3.8 \times 250 = 1950$

Barun

= $3 + 5 + 4 + 4 + 3$ .

Rating = $19/5 = 3.80$

:. Barun Payment = $1200 + 200 \times 3.80 = 1960$

Chandan

= $5 + 5 + 2 + 4 + 4 = 20$ .

Rating = $20/5 = 4.0$

:. Chandan Payment = $1400 + 100 \times 4 = 1800$

Damodaran

= $5 + 3 + 5 + 4 + 4 = 21$

Rating = $21/5 = 4.2$

:. Damodaran Payment = $1300 + 150 \times 4.2 = 1930$

Eamn

= $5 + 5 + 4 + 4 +2 = 20$ .

Rating = $20/5 = 4.0$

:. Eman payment = $1100 + 200 \times 4 = 1900$

:. Barun's payment is maximum i.e. $1960$

Question 17

If Damodaran does not get a bonus, what is the maximum possible value of his final rating?

Question 18

If Eman gets a bonus, what is the minimum possible value of his final rating?

Question 19

If all five drivers get bonus, what is the minimum possible value of the monthly payment (in rupees) that a driver gets?

If all five drivers get bonus, what is the maximum possible value of the monthly payment (in rupees) that a driver gets?

Solution

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