Products and Companies
CAT 2018 Slot 2 · DILR · Hard · Data Interpretation
Passage / data set
Each of the 23 boxes in the picture 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:
| Category | Product Popularity Score | Market Potential Score |
|---|---|---|
| Promising | ||
| Blockbuster | ||
| Doubtful | ||
| No-hope |
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.
Question 1 of 4
Considering all companies products, which product category had the highest revenue?
- A.
No-hope
- B.
Doubtful
- C.
Promising
- D.
Blockbuster
D
Explanation
By summing the grid box areas corresponding to each quadrant:
- Top-Right (Promising)
- Top-Left (Doubtful)
- Bottom-Right (Blockbuster)
- Bottom-Left (No-hope)
The total area (revenue) in the Blockbuster category is the largest among all four categories.
Question 2 of 4
Which of the following is the correct sequence of numbers of products Bravo had in No-hope, Doubtful, Promising and Blockbuster categories respectively?
- A.
2, 3, 1, 2
- B.
1, 3, 1, 2
- C.
3, 3, 1, 2
- D.
1, 3, 1, 3
B
Explanation
Counting the product boxes per category and distributing among Alfa, Bravo, and Charlie using statements 1-4: Bravo has 1 in No-hope, 3 in Doubtful, 1 in Promising, and 2 in Blockbuster. Hence, the sequence is .
Question 3 of 4
Which of the following statements is NOT correct?
- A.
Alfa's revenue from Blockbuster products was the same as Charlie's revenue from Promising products.
- B.
Bravo's revenue from Blockbuster products was greater than Alfa's revenue from Doubtful products.
- C.
The total revenue from No-hope products was less than the total revenue from Doubtful products.
- D.
Bravo and Charlie had the same revenues from No-hope products
B
Explanation
Calculating the individual box areas for each company: Alfa's revenue from Doubtful products is actually greater than Bravo's revenue from Blockbuster products. Thus, statement B is incorrect.
Question 4 of 4
If the smallest box on the grid is equivalent to revenue of Rs.1 crore, then what approximately was the total revenue of Bravo in Rs. crore?
- A.
30
- B.
40
- C.
34
- D.
24
C
Explanation
Summing the areas (unit squares) of all products belonging to Bravo across all four categories yields approximately 34 square units, corresponding to Rs. 34 crore.
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