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

Determine Ravi's lowest rating. Ravi's Behaviour rating is between 5 and 7. The possible solutions are derived as follows:

Behaviour Ratings:

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

 

Timeliness Ratings: Total 21 points. Three customers received the same rating:

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

Packaging: Total 29 points. Ratings are distinct:

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

Hygiene: Total 26 points. Ratings are distinct:

Chirag's rating is the highest at 9. Atal = 6, Bihari = 5, Deepak = 9.

To identify the minimum rating:

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

Deepak received the lowest score of 4 in Timeliness.

Final Result: Ravi's minimum rating from any customer across all parameters is 4.

Answer 2

To determine the customers who provided Ravi with the highest total rating points, each performance parameter is analyzed using the provided information:

1. Timeliness:
Ravi received a total of 21 points. Three customers awarded identical scores, with Atal scoring higher than Bihari and Chirag. If the three identical scores are \(x\) and Atal's score is \(y\), then \(3x+y=21\). Possible values for \(x\) are 5, 6, or 7, leading to solution sets for \((x, y)\) as \( (5,6), (6,3), (7,0) \). Since \(y\) must exceed the other equal scores, \(x=7\) and \(y=0\) is invalid. Therefore, \(x=6\) and \(y=3\) is the valid solution: Atal = 3, Bihari = 6, Chirag = 6, Deepak = 6.

2. Packaging:
The sum of points is 29, with all scores being distinct. Bihari awarded the highest score. Valid distinct scores from 5 to 8 that sum to 29 are 4, 5, 6, 8. Thus, Bihari = 8, Atal = 7, Chirag = 6, Deepak = 7. As Atal and Deepak share the same rank for Packaging and Hygiene, adjustments may be necessary.

3. Hygiene:
The sum of points is 26, with all scores being distinct. Chirag awarded the highest score. Potential scores are 4, 5, 8, 9. These scores will be adjusted based on additional constraints from Packaging and Timeliness.

4. Behaviour:
All ratings fall between 5 and 7. Atal provided a unique maximum score, and Deepak a unique minimum score: Atal = 7, Deepak = 5. This leaves Bihari or Chirag with a score of 6. Different outcomes may arise depending on tip/bonus allocations.

5. Summation and Tip/Bonus Analysis:
Ravi's total bonus and tip amounted to ₹120. No single customer provided both a bonus and a tip. Each customer's total score determines if they gave a tip (either ₹30 or ₹50) or achieved a total of 25 or more points, qualifying for a ₹20 bonus. Calculations will incorporate scores from packaging, hygiene, behavior, and timeliness.

Based on the total scores calculated:

Bihari and Chirag both achieved scores that meet or exceed the 25-point threshold.

Conclusion:
The complete list of customers who provided Ravi with the maximum total rating points is Bihari and Chirag.

Answer 3

Step 1: Timeliness Ratings

Ravi obtained 21 points for Timeliness. Three customers provided identical ratings, while Atal's rating exceeded both Bihari's and Chirag's.

Let \( x \) represent the identical rating assigned by three customers.

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

This simplifies to: \( 3x + A = 21 \)

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

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

Substituting \( x = 5 \) into the equation yields: \( 3(5) + A = 21 \)

This results in: \( 15 + A = 21 \)

Therefore, \( A = 6 \)

Step 3: Validation

This result is consistent with the given conditions: Atal's rating of 6 is higher than the identical ratings of 5 provided by Bihari and Chirag.

Conclusion

Atal's rating for Timeliness is 6. This value falls within the specified acceptable range of 6 to 6. The solution is therefore consistent and valid.

Answer 4

1. Timeliness (T): Total score is 21. Three customers received identical scores. Atal's score exceeds Bihari's and Chirag's. Possible distribution: Atal 7, three customers 5 each.
2. Packaging (P): Scores are distinct and sum to 29. Bihari achieved the highest score. Possible distinct scores: 6, 7, 8, 8. Bihari's score is 8.
3. Hygiene (H): Scores are distinct and sum to 26. Chirag's score is the highest, identical to the Packaging score: 5, 6, 7, 8. Chirag's score is 8. This category also has Chirag scoring 7 for Packaging.
4. Behavior (B): Scores range from 5 to 7. Atal received a unique maximum score of 7, and Deepak a unique minimum of 5. The only possible configuration is: Atal 7, Bihari 6, Chirag 6, Deepak 5.
5. Ranks for Packaging and Hygiene must align for Atal and Deepak, indicating their relative standing in these categories is the same.

Bonus and Tip Calculation Based on Conditions:

• Atal: Highest in Behavior (B) and distinct Packaging (P), maximized Timeliness (T), and leads in T. Configuration: B: 7, P: 6, H: 6, T: 7. Total: 26 (eligible for bonus).
• Bihari: Highest Packaging (P). Scores for Behavior (B) and Timeliness (T): B: 6, P: 8, H: 6, T: 5. Total: 25 (eligible for bonus).
• Chirag: Highest Hygiene (H) and shares the highest score in H and P. Score set: B: 6, P: 7, H: 8, T: 5. Total: 26 (eligible for bonus).
• Deepak: Unique lowest Behavior (B) score and matching Packaging (P) and Hygiene (H) ranks. Possible configuration under remaining conditions: B: 5, P: 8, H: 5, T: 5. Total: 23 (not eligible for bonus, eligible for tip).

Bonus and Tip Allocation:

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

Tip Determination:

With ₹60 allocated to three bonuses from other customers who did not receive tips, the remaining amount is for tips from Deepak. Deepak's tips are restricted to the remaining funds: ₹30 + ₹30 or ₹30 + ₹50.

As only single fee denominations (₹30 or ₹50) are applicable, the possible tip amounts are: Either ₹30 or ₹50.

Answer 5

To resolve the issue, it is necessary to identify the parameter where Atal assigned Ravi the highest rating points. The subsequent step-by-step analysis is based on the provided information:

1. Timeliness: Ravi accumulated a total of 21 points from three customers assigning identical ratings. Let these ratings be represented by 'x' and a single distinct rating by 'y'. Given that Atal's rating exceeded those of Bihari and Chirag, potential Timeliness ratings are: Bihari = x, Chirag = x, Atal = y, Deepak = x, satisfying the equation 3x + y = 21. By testing values, x = 5 and y = 6 provide a solution. Therefore, the Timeliness ratings are: Bihari = 5, Chirag = 5, Atal = 6, Deepak = 5.
2. Packaging: The ratings are distinct and sum to 29, with Bihari awarding the highest rating. A possible distribution is: Atal = 6, Bihari = 9, Chirag = 7, Deepak = 8.
3. Hygiene: The ratings are distinct and sum to 26, with Chirag awarding the highest rating. A possible distribution is: Atal = 6, Bihari = 5, Chirag = 9, Deepak = 6.
4. Behaviour: Ratings range between 5 and 7, with unique maximum and minimum values assigned by Atal and Deepak, respectively. A possible distribution is: Atal = 7, Bihari = 6, Chirag = 6, Deepak = 5.

The following comparative ranks are considered:

• Packaging ranks for Atal and Deepak are 1 (Atal's rating of 6) and 3 (Deepak's rating of 8), respectively.
• Hygiene ranks for Atal and Deepak are 1 (Atal's rating of 6) and 3 (Deepak's rating of 6), respectively.

Upon evaluating all parameters, Atal assigned the highest rating of 7 points in the Behaviour category.

Answer 6

To ascertain Deepak's rating for Packaging, the ratings provided by four customers must be logically inferred from the given details.

The problem is solved systematically as follows:

1. Timeliness: Ravi's total score is 21. Three of the ratings are identical, and Atal's rating exceeds that of Bihari and Chirag. Assuming three ratings are 5 each, Atal's rating is 6 (5 + 5 + 5 + 6 = 21).
2. Packaging: The ratings are unique and sum to 29. Bihari assigned the highest rating. Potential ratings are 8, 7, 6, and 8 (as 5 was previously assigned as the common rating in Timeliness).
3. Hygiene: The ratings are unique and sum to 26. Chirag assigned the highest rating. Potential ratings are 9, 8, 7, and 2.
4. Behaviour: Ratings range from 5 to 7. Atal received the highest unique rating (7), and Deepak received the lowest (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

Based on the derived table, Deepak awarded a rating of 7 for Packaging.