CAT 2018 Slot 2 — DILR Question 5
Answer the following question based on the information given below.
Each of the 23 boxes in the picture below represents a product manufactured by one of the following three companies: Alfa, Bravo and Charlie. The area of a box is proportional to the revenue from the corresponding product, while its centre represents the Product popularity and Market potential scores of the product (out of 20). The shadings of some of the boxes have got erased.
The companies classified their products into four categories based on a combination of scores (out of 20) on the two parameters – Product popularity and Market potential as given below:
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The following facts are known:
- Alfa and Bravo had the same number of products in the Blockbuster category.
- Charlie had more products than Bravo but fewer products than Alfa in the No-hope category.
- Each company had an equal number of products in the Promising category.
- Charlie did not have any product in the Doubtful category, while Alfa had one product more than Bravo in this category.
- Bravo had a higher revenue than Alfa from products in the Doubtful category.
- Charlie had a higher revenue than Bravo from products in the Blockbuster category.
- Bravo and Charlie had the same revenue from products in the No-hope category.
- Alfa and Charlie had the same total revenue considering all products.
Considering all companies' products, which product category had the highest revenue?
Answer & solution
- A
Promising
- B
Doubtful
Blockbuster
- D
No-hope
Using the information given in the diagram, we get the following:
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Note: The numbers in the table represent the area of the boxes in square units.
From statement 1, Alfa and Bravo have two products each in Blockbuster category.
From statement 6, Charlie had higher revenue than Bravo from products in Blockbuster category. Therefore the product with revenue 9 belongs to Charlie and the product with revenue 4 belongs to Bravo.
From statement 2, Alfa, Charlie and Bravo had 3, 2 and 1 products respectively in No-hope category.
From statement 7, Bravo and Charlie had same revenue from products in No-hope category. Therefore Charlie had revenue (1 + 3 = 4) and the other product with revenue 1 belongs to Alfa.
From statement 4, there were 4 products of Alfa and 3 products of Bravo in the Doubtful category.
From statement 5, the product with revenue 9 belonged to Bravo and the products with revenue 1 and 6 belonged to Alfa in the Doubtful category.
So far we have the following:
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From statement 3, each company had one product each in the Promising category.
From statement 8, the product with revenue 2 belonged to Alfa, the product with revenue 9 belonged to Charlie and hence the product with revenue 3 belonged to Bravo.
Now we have the following:
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Now all the questions can be answered.
Hence, option (c).