Question

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

• A. Atal
• B. Bihari
• C. Bihari and Chirag
• D. Atal and Bihari
• A. Either ₹ 0 or ₹ 30 or ₹ 50
• B. Either ₹ 30 or ₹ 50
• C. ₹ 50
• D. ₹ 30
• A. Hygiene
• B. Behaviour
• C. Timeliness
• D. Packaging
• A. 7
• B. 8
• C. 5
• D. 6

Answer 1

Correct Answer: 5

Parameter
Customer	Behaviour	Packaging	Hygiene	Timeliness
Atal	7	7	6	7
Bihari	6	8	5	5
Chirag	6	6	6	5
Deepak	5	8	9	4

We need to find Ravi's minimum rating. Given Ravi was rated between 5 and 7 in Behaviour, let's derive the possible solutions.

Behaviour Ratings:

• Atal: 7
• Bihari: 6
• Chirag: 6
• Deepak: 5

 

Timeliness Ratings: Total 21 points; 3 customers gave the same rating:

Ratings: Atal = 7, Bihari = 5, Chirag = 5, Deepak = 4.

Packaging: Total 29 points, Distinct ratings:

Atal < Bihari > Chirag = 6, Deepak gets 8.

Hygiene: Total 26 points, Distinct ratings:

Chirag highest = 9, Atal = 6, Bihari = 5, Deepak = 9.

To find the minimum rating:

1. Atal: 9
2. Bihari: 6
3. Chirag: 5
4. Deepak: 4

The minimum score is Deepak with 4 points in Timeliness.

Final Result: The minimum rating Ravi received from any customer for any parameter is 4.

Answer 2

To identify the customers who gave the maximum total rating points to Ravi, each parameter needs to be analyzed based on the given clues:

1. Timeliness:
Ravi received a total of 21 points. Three customers gave the same rating, and Atal scored higher than Bihari and Chirag.
Let the three equal ratings be \(x\) and Atal's be \(y\). So, \(3x+y=21\). Candidates for \(x\) are 5, 6, or 7, giving \( (5,6), (6,3), (7,0) \) as solutions. Since \(y\) must be above the other equal scores, \(x=7\) and \(y=0\) is impossible. Therefore, \(x=6\) and \(y=3\) is valid: Atal = 3, Bihari = 6, Chirag = 6, Deepak = 6.

2. Packaging:
Points add up to 29 with all distinct scores. Bihari gave the highest. Solutions for distinct scores from 5 to 8 include 4, 5, 6, 8 (sum 29). Thus, Bihari = 8, Atal = 7, Chirag = 6, Deepak = 7. Since Atal and Deepak have the same rank based on Packaging and Hygiene, adjust as needed.

3. Hygiene:
Points add up to 26 with all distinct scores. Chirag gave the highest. Potential scores are 4, 5, 8, 9. Adjust according to additional conditions from Packaging and Timeliness.

4. Behaviour:
Everyone rated between 5 and 7. Since Atal gave unique maximum and Deepak unique minimum: Atal = 7, Deepak = 5, thus leaving either Bihari or Chirag with 6. Assuming different outcomes based on tip/bonus options.

5. Summation and Tip/Bonus Analysis:
Ravi earned a total bonus and tip of ₹120. No bonus and tip simultaneously from any individual. Each customer’s total determines whether they gave a tip (either ₹30 or ₹50) or achieved a total of 25 or more, resulting in a bonus of ₹20. Calculate with packaging, hygiene, behavior, and timeliness.

Consequently, based on the total scores:
Bihari and Chirag both achieve combinations that meet or exceed 25 points.

Conclusion:
Thus, the COMPLETE list of customers who gave the maximum total rating points to Ravi is Bihari and Chirag.

Answer 3

Step 1: Timeliness Ratings 

We know Ravi received 21 points in Timeliness, with three ratings being the same and Atal's rating being higher than both Bihari's and Chirag's.

Let \( x \) be the common rating given by three customers.

The equation for Timeliness: \( x + x + x + A = 21 \) where \( A \) is Atal's rating.

→ \( 3x + A = 21 \)

Using integer solutions and the constraints (Atal \( > \) Bihari, Chirag), the possible values for \( x \) are 5 and 6.

Step 2: Solve for \( x = 5 \)

→ \( 3(5) + A = 21 \)

→ \( 15 + A = 21 \)

→ \( A = 6 \)

Step 3: Validation

This aligns with the conditions: Atal giving a higher rating than Bihari and Chirag (both must have given 5).

Conclusion

The rating given by Atal for Timeliness is 6, which falls within the acceptable range of 6 to 6. Therefore, the answer is consistent and valid.

Answer 4

1. Timeliness (T), the total score is 21, with three customers giving the same points, and Atal scoring higher than Bihari and Chirag. Possible ratings: Atal 7, another three customers 5 each.
2. Packaging (P), scores are distinct and add up to 29. The possible scores considering Bihari gave the highest and they must be distinct: 6, 7, 8, 8. Bihari is 8. 
3. Hygiene (H), scores are distinct and add up to 26. Chirag gives the highest and identical to packaging: 5, 6, 7, 8. Chirag is 8 and further repeats 7 for Packaging.
4. Behavior (B), scores are 5 to 7. Atal gets a unique maximum of 7, and Deepak a unique minimum of 5. Only one such configuration is possible here: Atal 7, Bihari 6, Chirag 6, Deepak 5.
5. Ranks given based on Packaging and Hygiene must match for Atal and Deepak, implying same relative rank for these two in these categories.

Let's cross-calculate bonuses and tips based on conditions:

• Atal: Highest in B and distinct P, maximizing on H and leading on T. Possible configuration: B: 7, P: 6, H: 6, T: 7. Total: 26 (bonus applicable)
• Bihari: Highest P. Possible B and T scores: B: 6, P: 8, H: 6, T: 5. Total: 25 (bonus applicable)
• Chirag: Highest H and duplicate H and P. Possible score set: B: 6, P: 7, H: 8, T: 5. Total: 26 (bonus applicable)
• Deepak: Unique least B and matching P and H ranks for his scores, possible under remaining terms: B: 5, P: 8, H: 5, T: 5. Total: 23 (no bonus, possible tip)

Bonus and Tip Distribution:

Customer	Bonus/Tip
Atal	Bonus ₹20
Bihari	Bonus ₹20
Chirag	Bonus ₹20
Deepak	₹60 remaining for tips

Tip Calculation:

Given others contributed to three bonuses (₹60), the tips must come from Deepak who did not get a bonus. Thus, the tips are constrained only to remaining amounts via Deepak: ₹30 + ₹30 or ₹30 + ₹50.

As only single fees are compatible (₹30 or ₹50), the potential tip amounts are: Either ₹30 or ₹50.

Answer 5

To solve the problem, we need to determine the parameter in which Atal gave the maximum rating points to Ravi. Here's the step-by-step analysis based on the given information:

1. Timeliness: Ravi received a total of 21 points with three customers giving the same rating. Let the ratings be x, x, x, and y. Given that Atal gave higher points than Bihari and Chirag, possible values for Timeliness are: B = x, C = x, A = y, D = x, with 3x + y = 21. Trying values, x = 5 and y = 6 satisfies this. Hence, Timeliness: Bihari = 5, Chirag = 5, Atal = 6, Deepak = 5.
2. Packaging: Ratings are distinct and sum to 29, and Bihari gave the highest rating. Possible distribution: Atal = 6, Bihari = 9, Chirag = 7, Deepak = 8.
3. Hygiene: Ratings are distinct and sum to 26, Chirag gave the highest. Possible distribution: Atal = 6, Bihari = 5, Chirag = 9, Deepak = 6.
4. Behaviour: Ratings between 5 and 7, unique max and min by Atal and Deepak. Possible distribution: Atal = 7, Bihari = 6, Chirag = 6, Deepak = 5.

Now, we consider the ranks:

• Packaging rank for both Atal and Deepak: 1 (Atal 6), 3 (Deepak 8)
• Hygiene rank for both Atal and Deepak: 1 (Atal 6), 3 (Deepak 6)

Comparing all parameters, Atal gave the maximum rating in Behaviour with 7 points.

Answer 6

To determine the rating Deepak gave on Packaging, we need to logically deduce the ratings given by each of the four customers based on the details provided.

Let's outline and solve the problem step-by-step: 

1. Timeliness: Ravi received a total of 21 points. Three ratings are the same, and Atal's rating is higher than Bihari's and Chirag's. Let’s assume three ratings as 5 points each and Atal’s as 6 (5+5+5+6=21).
2. Packaging: Ratings are distinct and sum to 29. Bihari gave the highest rating. Possible ratings are 8, 7, 6, and 8 (since 5 is already used in Timeliness as the common rating in three dimensions).
3. Hygiene: Ratings are distinct and sum to 26. Chirag gave the highest rating. Possible ratings are 9, 8, 7, and 2.
4. Behaviour: Ratings range from 5 to 7. Atal gave the unique maximum rating (7), and Deepak gave the minimum (5).

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

From the calculated table, Deepak gave a rating of 7 on Packaging.