Read the following and answer the questions that follow
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:
The following facts are known:
1. Alfa and Bravo had the same number of products in the Blockbuster category.
2. Charlie had more products than Bravo but fewer products than Alfa in the No-hope category.
3. Each company had an equal number of products in the Promising category.
4. Charlie did not have any product in the Doubtful category, while Alfa had one product more than Bravo in this category.
5. Bravo had a higher revenue than Alfa from products in the Doubtful category.
6. Charlie had a higher revenue than Bravo from products in the Blockbuster category.
7. Bravo and Charlie had the same revenue from products in the No-hope category.
8. Alfa and Charlie had the same total revenue considering all products.
[CAT 2018 S2]
22) Considering all companies' products, which product category had the highest revenue?
(1) Blockbuster
(2) No-hope
(3) Promising
(4) Doubtful
23) Which of the following is the correct sequence of numbers of products Bravo had in No-hope, Doubtful, Promising and Blockbuster categories respectively?
(1) 2,3,1,2
(2) 1,3,1,2
(3) 3,3,1,2
(4) 1,3,1,3
24) Which of the following statements is NOT correct?
(1) Alfa's revenue from Blockbuster products was the same as Charlie's revenue from Promising products
(2) Bravo's revenue from Blockbuster products was greater than Alfa's revenue from Doubtful products
(3) Bravo and Charlie had the same revenues from No-hope products
(4) The total revenue from No-hope products was less than the total revenue from Doubtful products
25) 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?
(1) 40
(2) 30
(3) 24
(4) 34
Solution
The picture gives the revenue of the products in four categories for the companies Alfa, Bravo and Charlie. The table gives the revenue split up of companies in 4 categories from the picture.
The unshaded regions in each category belong to one of Alfa, Bravo and Charlie.
From fact 1, Alfa and Bravo had the same number of Block buster products. There are two unshaded products left – one belongs to Bravo and one to Charlie.
Thus, Alfa and Bravo have 2 products each and Charlie has 3 products.
From fact 2, products of Alfa > Charlie > Bravo in No-hope category. There are total 6 products, which means that the product distribution will be Alfa = 3, Charlie = 2 and Bravo = 1.
Thus from the unshaded products, 2 belongs to Charlie and 1 belong to Alfa.
From fact 3, each company had an equal number of products in the Promising category.
Therefore, each has 1 product.
From fact 4, the products with Charlie in Doubtful is 0 and Alfa > Bravo. There are a total of 7 products, which means that the distribution is Alfa = 4 and Bravo = 3.
From unshaded, 2 products belong to Alfa and one belongs to Bravo.
From fact 5, the revenue of Bravo > Alfa in Doubtful. Then Bravo will have revenue of 9 for one its products.
This means that the remaining (1+6=7) will be given to Alfa.
Therefore, the revenue of Alfa = 12, Bravo = 17 and Charlie = 0 in the Doubtful category.
From fact 6, the revenue of Charlie > Bravo in Blockbuster category. Thus, revenue of 4 and 9 is left. Charlie gets product with revenue 9 and Bravo gets 4.
Revenue of Alfa = 9, Bravo = 10 and Charlie = 17 in the Blockbuster category.
From fact 7, category revenue of Bravo = Charlie in No-hope. Revenue of Bravo is 4, then Charlie will get a revenue of 3 and 1. The other product will belong to Alfa.
Therefore, revenue of Alfa = 7, Bravo = 4 and Charlie = 4 in the No-hope category.
From fact 8, total revenue of Alfa = total revenue of Charlie. 12 + 9 + 7 + A = 0 + 17 + 4 + C
⇒ C = A + 7.
Thus in Promising category, Alfa will be having a product with revenue 2, Charlie with revenue 7 and Bravo with revenue 3.
22) From the table blockbuster had the highest revenue of 36.
Answer: (1) Blockbuster
23) The correct sequence of numbers of products Bravo had in No-hope, Doubtful, Promising and Blockbuster categories is 1, 3, 1, 2.
Answer: (2) 1, 3, 1, 2
24) We need to find which option
is not correct
Let us consider the options.
Option (1) – Alfa's revenue is Blockbuster is 9 and Charlie's revenue in Promising is 9. This is correct
Option (2) – Bravo's revenue in Blockbuster 10 and Alfa’s revenue in Doubtful is 12. This is incorrect, making it the right answer.
Option (3) – this is the 7
th fact, this is true.
Option (4) – as the total revenue of No-hope is 15 and total revenue of Doubtful is 29, this is true.
Answer: (2) Bravo's revenue from Blockbuster products was greater than Alfa's revenue from Doubtful products.
25) We took the unit of revenue for the smallest box as 1 to find the products and revenue for the companies. Then 1 unit = 1 crore, Bravo has 34 unit of revenue, then total revenue of Bravo is 34 crore.
Answer: (4) 34
Answer:
22) (1) Blockbuster
23) (2) 1,3,1,2
24) (2) Bravo's revenue from Blockbuster products was greater than Alfa's revenue from Doubtful products
25) (4) 34
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