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CAT 2020 [Slot 1] DILR set 1

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:

The following additional facts are known.

  1. 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.
  2. None of drivers has got the same rating in three parameters.

Question 1:

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

  1. 3.8
  2. 3.4
  3. 3.6
  4. 3.2
Show Answer
OPTION: 3

Question 2:

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

  1. 3.0
  2. 3.2
  3. 2.8
  4. 3.4
Show Answer
OPTION: 1

Question 3:

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

  1. 1740
  2. 1600
  3. 1700
  4. 1750
Show Answer
OPTION: 3

Question 4:

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

  1. 1960
  2. 1950
  3. 1900
  4. 2050
Show Answer
OPTION: 1

\(A \Rightarrow \) Exactly one \( \to 5stars\)

\(B \Rightarrow \) Exactly one \( \to 5stars\)

\(C \Rightarrow \) Exactly two \( \to 5stars\)


Question 1:

Damodaran not get a bonus .two possibilities either No 5 stars or atleast one \({1^{{\rm{st }}}}\) star To get maximum final rating \( \Rightarrow 5 + 5 + 3 + 4 + 1 = \frac{{18}}{5} = \) 3.6

Option: 3
Question 2:

Eman got bonus (Atleast one -5 star) Minimum final rating \( \Rightarrow 5 + 2 + 2 + 3 + 3 = \frac{{15}}{5} = 3\)

Option: 1
Question 3:

\(A \to 5 + 4 + 2 + 2 + 3 \Rightarrow \frac{{16}}{5} \Rightarrow 3.2 \times 250 \Rightarrow 800 + 1000 = 1800\)

\(B \to 5 + 3 + 2 + 2 + 3 \Rightarrow \frac{{15}}{5} \Rightarrow 3 \times 200 = 600 + 1200 = 1800\)

\(C \to 5 + 5 + 2 + 2 + 3 \Rightarrow \frac{{17}}{5} \Rightarrow 3.4 \times 100 \Rightarrow 340 \Rightarrow 1740(340 + 1400)\)

\(D \to 5 + 3 + 2 + 2 + 3 \Rightarrow \frac{{15}}{5} \Rightarrow 3 \times 150 = 450 + 1300 \Rightarrow 1750\)

\(E \to 5 + 2 + 2 + 3 + 3 \Rightarrow \frac{{15}}{5} \Rightarrow 3 \times 200 = 600 + 1100 = 1700\)

Minimum payment =1700

Option: 3
Question 4:

If all five drivers got bonus maximum possible would be \(A \Rightarrow 5 + 4 + 4 + 3 + 3 \Rightarrow \frac{{19}}{5} = 3.8 \times 250 = 950 + 1000 = 1950\)

\(B \Rightarrow 5 + 4 + 4 + 3 + 3 \Rightarrow \frac{{19}}{5} = 3.8 \times 200 = 760 + 1200 = 1960\)

\(C \Rightarrow 5 + 5 + 4 + 4 + 2 \Rightarrow \frac{{20}}{5} = 4 \times 100 = 400 + 1400 = 1800\)

\(D \Rightarrow 5 + 5 + 3 + 4 + 4 \Rightarrow \frac{{21}}{5} = 4.2 \times 150 = 630 + 1300 = 1930\)

\(E \Rightarrow 5 + 5 + 4 + 4 + 2 \Rightarrow \frac{{20}}{5} = 4 \times 200 = 800 + 1100 = 1900\)

Maximum monthly payment = 1960

Option: 1

CAT 2020 LRDI sets with Solutions

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