CAT 2019 Slot 1 DILR Question & Solution
Data Set
Five vendors are being considered for a service. The evaluation committee evaluated each vendor on six aspects - Cost, Customer Service,Features, Quality, Reach, and Reliability. Each of these evaluations are on a scale of 0 (worst) to 100 (perfect). The evaluation scores on these aspects are shown in the radar chart. For example, Vendor 1 obtains a score of 52 on Reliability, Vendor 2 obtains a score of 45 on Features and Vendor 3 obtains a score of 90 on Cost.
Question 1
On which aspect is the median score of the five vendors the least?
Solution:
The data can be tabulated as follows(approximately):
Customer Services: 28,41,50,55,70 (The median is 50)
Cost: 50,71,77,81,90 (The median is 77)
Reliability: 26, 40, 52, 60, 75 (The median is 52)
Quality: 40, 48, 62, 69, 72 (The median is 62)
Features: 40, 45, 56, 75, 90 (The median is 56)
Reach: 46, 58, 63, 70, 80 (The median is 63)
Hence the customer services has the lowest median.
Question 2
A vendor's final score is the average of their scores on all six aspects. Which vendor has the highest final score?
Solution:
The data can be tabulated as follows(approximately):
The average of the vendor will be highest which has highest total score. Hence vendor 3 has the highest average.
Question 3
List of all the vendors who are among the top two scorers on the maximum number of aspects is:
Solution:
The data can be tabulated as follows(approximately):
Top 3 on Reliability: Vendor 3, Vendor 5
Top 3 on Reach: Vendor 1, Vendor 5
Top 3 on Quality: Vendor 1, Vendor 2
Top 3 on Features: Vendor 4, Vendor 5
Top 3 on Customer Services: Vendor 4, Vendor 1
Top 3 on Cost: Vendor 3, Vendor 2
Vendor 1: 3 times Vendor 2: Only once Vendor 3: 2 times Vendor 4: 2 times Vendor 5: 3 times
Here 1 and 5 comes 3 times. Hence B is the answer.
Question 4
List of all the vendors who are among the top three vendors on all six aspects is:
Solution:
The data can be tabulated as follows(approximately):
Top 3 on Reliability: Vendor 3, Vendor 5, Vendor 1
Top 3 on Reach: Vendor 1, Vendor 5, Vendor 3
Top 3 on Quality: Vendor 1, Vendor 2, Vendor 3
Top 3 on Features: Vendor 4, Vendor 5, Vendor 3
Top 3 on Customer Services: Vendor 4, Vendor 1, Vendor 3
Top 3 on Cost: Vendor 3, Vendor 2, Vendor 1
Only Vendor 3 ranks among top 3 in all the six parameters.