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CAT 2025 Lesson : DILR: Mar '25 to Apr '25 - Numerical Reasoning - 09 Apr 2025
Details for Questions 1 to 6 are provided below
Ravi works in an online food-delivery company. After each delivery, customers rate Ravi on each of four parameters – Behaviour, Packaging, Hygiene, and Timeliness, on a scale from 1 to 9. If the total of the four rating points is 25 or more, then Ravi gets a bonus of ₹20 for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either ₹30 or ₹50.
One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of ₹120 in bonus and tips. He did not get both a bonus and a tip from the same customer.
The following additional facts are also known.
1. In Timeliness, Ravi received a total of 21 points, and three of the customers gave him the same rating points in this parameter. Atal gave higher rating points than Bihari and Chirag in this parameter.
2. Ravi received distinct rating points in Packaging from the four customers adding up to 29 points. Similarly, Ravi received distinct rating points in Hygiene from the four customers adding up to 26 points.
3. Chirag gave the same rating points for Packaging and Hygiene.
4. Among the four customers, Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
5. Everyone rated Ravi between 5 and 7 in Behaviour. Unique maximum and minimum ratings in this parameter were given by Atal and Deepak respectively.
6. If the customers are ranked based on ratings given by them in individual parameters, then Atal’s rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak.
[CAT 2021 Slot 2]
1) What was the minimum rating that Ravi received from any customer in any parameter?
Answer:
2) The COMPLETE list of customers who gave the maximum total rating points to Ravi is
(1) Bihari and Chirag
(2) Atal
(3) Bihari
(4) Atal and Bihari
3) What rating did Atal give on Timeliness?
Answer:
4) What BEST can be concluded about the tip amount given by Deepak?
(1) ₹30
(2) Either ₹0 or ₹30 or ₹50
(3) Either ₹30 or ₹50
(4) ₹50
5) In which parameter did Atal give the maximum rating points to Ravi?
(1) Behaviour
(2) Hygiene
(3) Timeliness
(4) Packaging
6) What rating did Deepak give on Packaging?
(1) 5
(2) 7
(3) 6
(4) 8
Read the following and answer the questions
Five restaurants, coded R1, R2, R3, R4 and R5 gave integer ratings to five gig workers – Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of 1 to 5.
The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.
The summary statistics of these ratings for the five workers is given below.
* Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker.
The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.
(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.
(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.
7) How many individual ratings cannot be determined from the above information?
Answer:
8) To how many workers did R2 give a rating of 4?
Answer:
9) What rating did R1 give to Xavier?
Answer:
10) What is the median of the ratings given by R3 to the five workers?
Answer:
11) Which among the following restaurants gave its median rating to exactly one of the workers?
(1) R4
(2) R3
(3) R2
(4) R5
Ravi works in an online food-delivery company. After each delivery, customers rate Ravi on each of four parameters – Behaviour, Packaging, Hygiene, and Timeliness, on a scale from 1 to 9. If the total of the four rating points is 25 or more, then Ravi gets a bonus of ₹20 for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either ₹30 or ₹50.
One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of ₹120 in bonus and tips. He did not get both a bonus and a tip from the same customer.
The following additional facts are also known.
1. In Timeliness, Ravi received a total of 21 points, and three of the customers gave him the same rating points in this parameter. Atal gave higher rating points than Bihari and Chirag in this parameter.
2. Ravi received distinct rating points in Packaging from the four customers adding up to 29 points. Similarly, Ravi received distinct rating points in Hygiene from the four customers adding up to 26 points.
3. Chirag gave the same rating points for Packaging and Hygiene.
4. Among the four customers, Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
5. Everyone rated Ravi between 5 and 7 in Behaviour. Unique maximum and minimum ratings in this parameter were given by Atal and Deepak respectively.
6. If the customers are ranked based on ratings given by them in individual parameters, then Atal’s rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak.
[CAT 2021 Slot 2]
1) What was the minimum rating that Ravi received from any customer in any parameter?
Answer:
2) The COMPLETE list of customers who gave the maximum total rating points to Ravi is
(1) Bihari and Chirag
(2) Atal
(3) Bihari
(4) Atal and Bihari
3) What rating did Atal give on Timeliness?
Answer:
4) What BEST can be concluded about the tip amount given by Deepak?
(1) ₹30
(2) Either ₹0 or ₹30 or ₹50
(3) Either ₹30 or ₹50
(4) ₹50
5) In which parameter did Atal give the maximum rating points to Ravi?
(1) Behaviour
(2) Hygiene
(3) Timeliness
(4) Packaging
6) What rating did Deepak give on Packaging?
(1) 5
(2) 7
(3) 6
(4) 8
Read the following and answer the questions
Five restaurants, coded R1, R2, R3, R4 and R5 gave integer ratings to five gig workers – Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of 1 to 5.
The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.
The summary statistics of these ratings for the five workers is given below.
* Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker.
The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.
(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.
(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.
7) How many individual ratings cannot be determined from the above information?
Answer:
8) To how many workers did R2 give a rating of 4?
Answer:
9) What rating did R1 give to Xavier?
Answer:
10) What is the median of the ratings given by R3 to the five workers?
Answer:
11) Which among the following restaurants gave its median rating to exactly one of the workers?
(1) R4
(2) R3
(3) R2
(4) R5
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