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 Rs. 20 for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either Rs. 30 or Rs. 50. One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of Rs. 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. What was the minimum rating that Ravi received from any customer in any parameter?

Answer: 5. Solution: Understanding the set :- 1) Ravi works in an online food-delivery company. 2) After each delivery, customers rate Ravi on each of four parameters – Behaviour, Packaging, Hygiene, and Timeliness, on a scale from 1 to 9. 3) If total rating of Ravi is 25 +, he gets a bonus of ₹20 for that delivery. 4) Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either ₹30 or ₹50. This is a table set, In this we need to find the ratings given to Ravi, the bonus given to him, and the tip (if given). —--, Customer, Behaviour, Packaging, Hygiene, Timeliness, Total, Atal, Bihari, 9, Chirag, 8, Deepak, Packaging ratings are distinct and sum to 29. The only possible set of four distinct ratings is: 5 + 7 + 8 + 9 = 29 Also, - Bihari has the highest Packaging rating. - Therefore, Bihari = 9. The remaining ratings are 8, 7, 5. Since Chirag's Packaging equals his Hygiene and he later turns out to have the highest Hygiene rating, Chirag must have Packaging = 8. Hence, Atal and Deepak receive 5 and 7. —--, Customer, Behaviour, Packaging, Hygiene, Timeliness, Total, Atal, 5/7, Bihari, 9, 7, Chirag, 8, 8, Deepak, 5/7, 6/5, Hygiene ratings are distinct and sum to 26. Possible distinct ratings are: 8 + 7 + 6 + 5 = 26 Since Chirag has the highest Hygiene rating and his Packaging equals his Hygiene, - Chirag = 8. The remaining Hygiene ratings are 7, 6, 5. —--, Customer, Behaviour, Packaging, Hygiene, Timeliness, Total, Atal, 5, 5, Bihari, 9, 7, Chirag, 8, 8, Deepak, 7, 6, We are told: - Atal's rank in Packaging is the same as his rank in Hygiene. - Deepak's rank in Packaging is also the same as his rank in Hygiene. Testing the two possible assignments of 5,7 in Packaging shows that only one arrangement satisfies both ranking conditions. Therefore, - Atal → Packaging = 5, Hygiene = 5 - Deepak → Packaging = 7, Hygiene = 6 Packaging and Hygiene are now completely determined. —--, Customer, Behaviour, Packaging, Hygiene, Timeliness, Total, Atal, 7, 5, 5, Bihari, 6, 9, 7, Chirag, 6, 8, 8, Deepak, 5, 7, 6, Behaviour ratings are restricted to 5, 6 and 7. Also, - Atal has the unique highest Behaviour rating. - Deepak has the unique lowest Behaviour rating. Hence, - Atal = 7 - Deepak = 5 - Bihari = 6 - Chirag = 6 —--, Customer, Behaviour, Packaging, Hygiene, Timeliness, Total, Atal, 7, 5, 5, 6, Bihari, 6, 9, 7, 5, Chirag, 6, 8, 8, 5, Deepak, 5, 7, 6, 5, Timeliness ratings satisfy: - Total = 21 - Three customers gave the same rating. - Atal rated higher than both Bihari and Chirag. Let the repeated rating be x. Then, 3x + y = 21 Possible values are: - (4, 9) - (5, 6) The first case is eliminated after checking the remaining conditions. Hence, - Bihari = 5 - Chirag = 5 - Deepak = 5 - Atal = 6 —-- Final table:, Customer, Behaviour, Packaging, Hygiene, Timeliness, Total, Atal, 7, 5, 5, 6, 23, Bihari, 6, 9, 7, 5, 27, Chirag, 6, 8, 8, 5, 27, Deepak, 5, 7, 6, 5, 23, Minimum rating given is 5

Logical Reasoning

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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 Rs. $20$ for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either Rs. $30$ or Rs. $50$ .

One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of Rs. $120$ 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.

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.

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.

Chirag gave the same rating points for Packaging and Hygiene.

Among the four customers, Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.

Everyone rated Ravi between $5$ and $7$ in Behaviour. Unique maximum and minimum ratings in this parameter were given by Atal and Deepak respectively.

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.

What was the minimum rating that Ravi received from any customer in any parameter?

Entered answer:

✅ Correct Answer: 5

Slide 1/7

Understanding the set :-

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 total rating of Ravi is 25 +, he 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.

This is a table set,

In this we need to find the ratings given to Ravi, the bonus given to him, and the tip (if given).

Customer	Behaviour	Packaging	Hygiene	Timeliness	Total
Atal
Bihari		9
Chirag		8
Deepak

Packaging ratings are distinct and sum to 29.

The only possible set of four distinct ratings is:

5 + 7 + 8 + 9 = 29

Also,

Bihari has the highest Packaging rating.
Therefore, Bihari = 9.

The remaining ratings are {8, 7, 5}.

Since Chirag's Packaging equals his Hygiene and he later turns out to have the highest Hygiene rating, Chirag must have Packaging = 8.

Hence, Atal and Deepak receive 5 and 7.

Customer	Packaging	Hygiene
Atal	5/7
Bihari	9	7
Chirag	8	8
Deepak	5/7	6/5

Hygiene ratings are distinct and sum to 26.

Possible distinct ratings are:

8 + 7 + 6 + 5 = 26

Since Chirag has the highest Hygiene rating and his Packaging equals his Hygiene,

Chirag = 8.

The remaining Hygiene ratings are {7, 6, 5}.

Customer	Packaging	Hygiene
Atal	5	5
Bihari	9	7
Chirag	8	8
Deepak	7	6

We are told:

Atal's rank in Packaging is the same as his rank in Hygiene.
Deepak's rank in Packaging is also the same as his rank in Hygiene.

Testing the two possible assignments of {5,7} in Packaging shows that only one arrangement satisfies both ranking conditions.

Therefore,

Atal → Packaging = 5, Hygiene = 5
Deepak → Packaging = 7, Hygiene = 6

Packaging and Hygiene are now completely determined.

Customer	Behaviour	Packaging	Hygiene
Atal	7	5	5
Bihari	6	9	7
Chirag	6	8	8
Deepak	5	7	6

Behaviour ratings are restricted to 5, 6 and 7.

Also,

Atal has the unique highest Behaviour rating.
Deepak has the unique lowest Behaviour rating.

Hence,

Atal = 7
Deepak = 5
Bihari = 6
Chirag = 6

Customer	Behaviour	Packaging	Hygiene	Timeliness
Atal	7	5	5	6
Bihari	6	9	7	5
Chirag	6	8	8	5
Deepak	5	7	6	5

Timeliness ratings satisfy:

Total = 21
Three customers gave the same rating.
Atal rated higher than both Bihari and Chirag.

Let the repeated rating be x.

Then, 3x + y = 21

Possible values are:

(4, 9)
(5, 6)

The first case is eliminated after checking the remaining conditions.

Hence,

Bihari = 5
Chirag = 5
Deepak = 5
Atal = 6

Final table:

Customer	Behaviour	Packaging	Hygiene	Timeliness	Total
Atal	7	5	5	6	23
Bihari	6	9	7	5	27
Chirag	6	8	8	5	27
Deepak	5	7	6	5	23

Minimum rating given is $5$

Question 10

The COMPLETE list of customers who gave the maximum total rating points to Ravi is

Question 11

What rating did Atal give on Timeliness?

Question 12

What BEST can be concluded about the tip amount given by Deepak?

Question 13

In which parameter did Atal give the maximum rating points to Ravi?

Question 14

What rating did Deepak give on Packaging?

What was the minimum rating that Ravi received from any customer in any parameter?

Solution

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