CAT Special Charts Questions

Practice Special Charts questions for CAT with detailed video and text solutions. These sets appeared in the CAT randomly in 2022, 2019, 2018, 2008 and 2002, etc. Practice CAT Previous Papers from all the above mentioned years to know the standard and level of difficulty of questions that are being asked in the actual exam. Also check out the free CAT mock tests and understand the types of questions that are likely to appear on the exam. These sets are the mix of diverse DI topics such as Bar graph, Pie Chart, Line Graph, etc. To solve these sets, students essentially need the fundas of Arithmetic such as Percentages, Ratios, etc.

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CAT Special Chart Questions Weightage Over Past 7 Years

Year	No. of Questions
2025	8
2024	4
2023	0
2022	2
2021	0
2020	0
2019	3

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CAT Special Charts Questions

Instructions

Five countries engage in trade with each other. Each country levies import tariffs on the other countries. The import tariff levied by Country X on Country Y is calculated by multiplying the corresponding tariff percentage with the total imports of Country X from Country Y.

The radar chart below depicts different import tariff percentages charged by each of the five countries on the others. For example, US (the blue line in the chart) charges 20%, 40%, 30%, and 30% import tariff percentages on imports from France, India, Japan, and UK, respectively. The bar chart depicts the import tariffs levied by each county on other countries. For example, US charged import tariff of 3 billion USD on UK.

Import tariff in Billion USD charged by each country on other countries

Assume that imports from one country to another equals the exports from the latter to the former.

The trade surplus of Country X with Country Y is defined as follows.
Trade surplus = Exports from Country X to Country Y - Imports to Country X from Country Y.

A negative trade surplus is called trade deficit.

Question 1

How much is Japan's export to India worth?

8.5 Billion USD

16.0 Billion USD

7.0 Billion USD

1.75 Billion USD

Video Solution

Instructions

Assume that imports from one country to another equals the exports from the latter to the former.

The trade surplus of Country X with Country Y is defined as follows.
Trade surplus = Exports from Country X to Country Y - Imports to Country X from Country Y.

A negative trade surplus is called trade deficit.

Question 2

Which among the following is the highest?

Exports by Japan to UK

Imports by US from France

Exports by France to Japan

Imports by France from India

Video Solution

Solution

The values given in both charts together are represented in the table below, with the import tariff percentages charged by each of the five countries on the others represented as a percentage, and the import tariffs levied by each country on other countries are represented in brackets(in billion USD).

Option A) Exports by Japan to the UK would be the same as the UK's imports from Japan.

The UK is charging a 40% tariff on Japan, and the tariff imposed by the UK on Japan equals 6 billion USD.

So, 40% of the imports equals 6 billion USD.

$$\dfrac{40}{100}\ \times\ $$ Imports $$=\ 6$$

Imports $$=\ 3\ \times\ 5\ =\ 15$$ billion USD.

The value of imports by the UK from Japan = Japan's export to the UK = 15 billion USD.

Option B) Imports by the US from France.

The US is charging a 20% tariff on France, and the tariff by the US on France equals 6 billion USD.

So, 20% of the imports equals 6 billion USD.

$$\dfrac{20}{100}\ \times\ $$ Imports $$=\ 6$$

Imports $$=\ 6\ \times\ 5\ =\ 30$$ billion USD.

The value of imports by the US from France = 30 billion USD.

Option C) Exports by France to Japan would be the same as Japan's imports from France.

Japan is charging a 30% tariff on France, and the tariff by Japan on France equals 3 billion USD.

So, 30% of the imports equals 3 billion USD.

$$\dfrac{30}{100}\ \times\ $$ Imports $$=\ 3$$

Imports $$=\ 1\ \times\ 10\ =\ 10$$ billion USD.

The value of imports by Japan from France = France's export to Japan = 10 billion USD.

Option D) Imports by France from India.

France is charging a 40% tariff on India, and the tariff by France on India equals 6.5 billion USD.

So, 40% of the imports equals 6.5 billion USD.

$$\dfrac{40}{100}\ \times\ $$ Imports $$=\ 6.5$$

Imports $$=\ 6.5\ \times\ 2.5\ =\ 16.25$$ billion USD.

The value of imports by France from India = 16.25 billion USD.

Out of all the options, the value of imports by the US from France is the highest.

Hence, the correct answer is option B.

Instructions

Assume that imports from one country to another equals the exports from the latter to the former.

The trade surplus of Country X with Country Y is defined as follows.
Trade surplus = Exports from Country X to Country Y - Imports to Country X from Country Y.

A negative trade surplus is called trade deficit.

Question 3

What is the trade surplus/trade deficit of India with UK?

Surplus of 15.0 Billion USD

Deficit of 15.0 Billion USD

Surplus of 10.0 Billion USD

Deficit of 10.0 Billion USD

Video Solution

Solution

Trade surplus/trade deficit of India with the UK = Exports from India to the UK - Imports from India to the UK

Exports by India to the UK would be the same as the UK's imports from India.

The UK is charging a 30% tariff on India, and the tariff imposed by the UK on India equals 3 billion USD.

So, 30% of the imports equals 3 billion USD.

$$\dfrac{30}{100}\ \times\ $$ Imports $$=\ 3$$

Imports $$=\ 1\ \times\ 10\ =\ 10$$ billion USD.

The value of imports by the UK from India = India's export to the UK = 10 billion USD.

Imports by India from the UK can be calculated as,

India is charging a 20% tariff on the UK, and the tariff imposed by India on the UK equals 5 billion USD.

So, 20% of the imports equals 5 billion USD.

$$\dfrac{20}{100}\ \times\ $$ Imports $$=\ 5$$

Imports $$=\ 5\ \times\ 5\ =\ 25$$ billion USD.

The value of imports by India from the UK = 25 billion USD.

We can clearly see that the Imports are greater than the exports for India from the UK. So, the trade deficit can be calculated as,

Trade deficit = Exports from India to the UK - Imports from India to the UK = 10 billion USD - 25 billion USD = -15 billion USD.

So, there is a deficit of 15 billion USD.

Hence, the correct answer is option B.

Instructions

Assume that imports from one country to another equals the exports from the latter to the former.

The trade surplus of Country X with Country Y is defined as follows.
Trade surplus = Exports from Country X to Country Y - Imports to Country X from Country Y.

A negative trade surplus is called trade deficit.

Question 4

Among France and UK, who has/have trade surplus(es) with US?

Neither France nor UK

Both France and UK

Only UK

Only France

Video Solution

Solution

For France - Trade surplus/trade deficit of France with the US = Exports from France to the US - Imports from the US to France

Exports by France to the US would be the same as the US's imports from France.

The US is charging a 20% tariff on India, and the tariff imposed by the US on France equals 6 billion USD.

So, 20% of the imports equals 6 billion USD.

$$\dfrac{20}{100}\ \times\ $$ Imports $$=\ 6$$

Imports $$=\ 6\ \times\ 5\ =\ 30$$ billion USD.

The value of imports by the US from France = France's export to the US = 30 billion USD.

Imports by France from the US can be calculated as,

France is charging a 30% tariff on the US, and the tariff imposed by France on the US equals 5.5 billion USD.

So, 30% of the imports equals 5.5 billion USD.

$$\dfrac{30}{100}\ \times\ $$ Imports $$=\ 5.5$$

Imports $$=\ 5.5\ \times\ 3.34\ =\ 18.34$$ billion USD.

The value of imports by France from the US = 18.34 billion USD.

We can clearly see that the Imports are less than the exports for France from the US. So, the trade surplus can be calculated as,

Trade surplus = Exports from France to the US - Imports from France to the US = 30 billion USD - 18.34 billion USD = 11.67 billion USD.

So, there is a surplus of 11.67 billion USD.

For the UK - The Trade surplus/trade deficit of the UK with the US = Exports from the UK to the US - Imports from the US to the UK

Exports by the UK to the US would be the same as the US's imports from the UK.

The US is charging a 30% tariff on the UK, and the tariff imposed by the US on the UK equals 3 billion USD.

So, 30% of the imports equals 3 billion USD.

$$\dfrac{30}{100}\ \times\ $$ Imports $$=\ 3$$

Imports $$=\ 1\ \times\ 10\ =\ 10$$ billion USD.

The value of imports by the US from the UK = The UK's export to the US = 10 billion USD.

Imports by the UK from the US can be calculated as,

The UK is charging a 20% tariff on the US, and the tariff imposed by the UK on the US equals 2.5 billion USD.

So, 20% of the imports equals 2.5 billion USD.

$$\dfrac{20}{100}\ \times\ $$ Imports $$=\ 2.5$$

Imports $$=\ 2.5\ \times\ 5\ =\ 12.5$$ billion USD.

The value of imports by the UK from the US = 12.5 billion USD.

We can clearly see that the Imports are greater than the exports for the UK from the US. So, the trade deficit can be calculated as,

Trade deficit = Exports from the UK to the US - Imports from the UK to the US = 10 billion USD - 12.5 billion USD = -2.5 billion USD.

So, there is a deficit of 2.5 billion USD.

We can see that France has a surplus and the UK has a deficit with the UK.

Hence, the correct answer is option D.

Instructions

Anirbid, Chandranath, Koushik, and Suranjan participated in a puzzle solving competition. The competition comprised 10 puzzles that had to be solved in the same sequence, i.e., a competitor got access to a puzzle as soon as they solved the previous puzzle. Some of the puzzles were visual puzzles and the others were number-based puzzles. The winner of the competition was the one who solved all puzzles in the least time.
The following charts describe their progress in the competition. The chart on the left shows the number of puzzles solved by each competitor at a given time (in minutes) after the start of the competition. The chart on the right shows the number of visual puzzles solved by each competitor at a given time (in minutes) after the start of the competition.

Question 5

Who had solved the largest number of puzzles by the 20-th minute from the start of the competition?

Chandranath

Koushik

Suranjan

Anirbid

Video Solution

Instructions

Question 6

How many minutes did Suranjan take to solve the third visual puzzle in the competition?

Video Solution

Solution

Comparing the 1st and 2nd graphs, we should be able to determine the type of puzzle.

From the second graph, we can say that there are 4 visual-based puzzles in total, which makes the number-based puzzles 6.

Let us follow the green line in both graphs:

The 1st visual-based puzzle was completed by Green in 2 minutes from the 2nd graph. From the 1st graph at the 2nd minute, the puzzle that was solved by Green was 1. So, we can say that 1 is a visual-based puzzle.

The 2nd visual-based puzzle was completed by Green in 12 minutes from the 2nd graph. From the 1st graph at the 12th minute, the puzzle that was solved by Green was 4. So, we can say that 4 is a visual-based puzzle.

The 3rd visual-based puzzle was completed by Green in 25 minutes from the 2nd graph. From the 1st graph at the 25th minute, the puzzle that was solved by Green was 8. So, we can say that 8 is a visual-based puzzle.

The 4th visual-based puzzle was completed by Green in 29 minutes from the 2nd graph. From the 1st graph at the 29th minute, the puzzle that was solved by Green was 9. So, we can say that 9 is a visual-based puzzle.

We can conclude that puzzles 1, 4, 8, and 9 are visual-based, while puzzles 2, 3, 5, 6, 7, and 10 are number-based.

So, the third visual puzzle is 8, and the time taken by Suranjan(blue) to complete the 3rd visual-based puzzle, which is the 8th puzzle, can be calculated as,

The time taken by Suranjan to solve the 8th puzzle from graph 1 = 28 - 26 = 2 minutes.

Hence, the correct answer is 2.

Instructions

Question 7

At what number in the sequence was the fourth number-based puzzle?

Video Solution

Solution

Comparing the 1st and 2nd graphs, we should be able to determine the type of puzzle.

From the second graph, we can say that there are 4 visual-based puzzles in total, which makes the number-based puzzles 6.

Let us follow the green line in both graphs:

We can conclude that puzzles 1, 4, 8, and 9 are visual-based, while puzzles 2, 3, 5, 6, 7, and 10 are number-based.

The fourth number-based puzzle is 6th puzzle in the order.

Hence, the correct answer is 6.

Instructions

Question 8

Which of the following is the closest to the average time taken by Anirbid to solve the number-based puzzles in the competition?

3.3 minutes

2.5 minutes

3.8 minutes

4.0 minutes

Video Solution

Solution

Comparing the 1st and 2nd graphs, we should be able to determine the type of puzzle.

From the second graph, we can say that there are 4 visual-based puzzles in total, which makes the number-based puzzles 6.

Let us follow the green line in both graphs:

We can conclude that puzzles 1, 4, 8, and 9 are visual-based, while puzzles 2, 3, 5, 6, 7, and 10 are number-based.

The average time taken by Anirbid to solve the number-based puzzles can be calculated as,

Time for 1st number-based puzzle(2nd puzzle) from 1st graph = 9 - 4 = 5 minutes.

Time for 2nd number-based puzzle(3rd puzzle) from 1st graph = 11 - 9 = 2 minutes.

Time for 3rd number-based puzzle(5th puzzle) from 1st graph = 19 - 14 = 5 minutes.

Time for 4th number-based puzzle(6th puzzle) from 1st graph = 22 - 19 = 3 minutes.

Time for 5th number-based puzzle(7th puzzle) from 1st graph = 27 - 22 = 5 minutes.

Time for 6th number-based puzzle(10th puzzle) from 1st graph = 37 - 33 = 4 minutes.

Average $$=\ \dfrac{5\ +\ 2\ +\ 5\ +\ 3\ +\ 5\ +\ 4}{6}\ =\ \dfrac{24}{6}\ =\ 4$$ minutes

The average time taken by Anirbid to solve the number-based puzzles is 4 minutes.

Hence, the correct answer is option D.

Instructions

The two plots below give the following information about six firms A, B, C, D, E, and F for 2019 and 2023.

PAT: The firm’s profits after taxes in Rs. crores,
ES: The firm’s employee strength, that is the number of employees in the firm, and
PRD: The percentage of the firm’s PAT that they spend on Research and Development (R&D).

In the plots, the horizontal and vertical coordinates of point representing each firm gives their ES and PAT values respectively. The PRD values of each firm are proportional to the areas around the points representing each firm. The areas are comparable between the two plots, i.e., equal areas in the two plots represent the same PRD values for the two years.

Question 1

Assume that the annual rate of growth in PAT over the previous year (ARG) remained constant over the years for each of the six firms. Which among the firms A, B, C, and E had the highest ARG?

Firm A

Firm C

Firm E

Firm B

Video Solution

Instructions

The two plots below give the following information about six firms A, B, C, D, E, and F for 2019 and 2023.

Question 2

The ratio of the amount of money spent by Firm C on R&D in 2019 to that in 2023 is closest to

9 : 4

5 : 6

5 : 9

9 : 5

Video Solution

Instructions

The two plots below give the following information about six firms A, B, C, D, E, and F for 2019 and 2023.

Question 3

Which among the firms A, C, E, and F had the maximum PAT per employee in 2023?

Firm E

Firm A

Firm F

Firm C

Video Solution

Instructions

The two plots below give the following information about six firms A, B, C, D, E, and F for 2019 and 2023.

Question 4

Which among the firms C, D, E, and F had the least amount of R&D spending per employee in 2023?

Firm F

Firm D

Firm C

Firm E

Video Solution

Instructions

The chart below shows the price data for seven shares - A, B, C, D, E, F, and G as a candlestick plot for a particular day. The vertical axis shows the price of the share in rupees. A share whose closing price (price at the end of the day) is more than its opening price (price at the start of the day) is called a bullish share; otherwise, it is called a bearish share. All bullish and bearish shares are shown in green and red colour respectively.

Question 5

Daily Share Price Variability (SPV) is defined as (Day’s high price - Day’s low price) / (Average of the opening and closing prices during the day). Which among the shares A, C, D and F had the highest SPV on that day?

Video Solution

Instructions

Question 6

Daily Share Price Variability (SPV) is defined as (Day’s high price - Day’s low price) / (Average of the opening and closing prices during the day). How many shares had an SPV greater than 0.5 on that day?

Video Solution

Instructions

Question 7

Daily loss for a share is defined as (Opening price - Closing price) / (Opening price). Which among the shares A, B, F and G had the highest daily loss on that day?

Video Solution

Instructions

Question 8

What would have been the percentage wealth gain for a trader, who bought equal numbers of all bullish shares at opening price and sold them at their day’s high?

80%

50%

72%

100%

Video Solution

Instructions

The two plots below show data for four companies code-named A, B, C, and D over three years - 2019, 2020, and 2021.

The first plot shows the revenues and costs incurred by the companies during these years. For example, in 2021, company C earned Rs.100 crores in revenue and spent Rs.30 crores. The profit of a company is defined as its revenue minus its costs

The second plot shows the number of employees employed by the company (employee strength) at the start of each of these three years, as well as the number of new employees hired each year (new hires). For example, Company B had 250 employees at the start of 2021, and 30 new employees joined the company during the year.

Question 1

Considering all three years, which company had the highest annual profit?

Company A

Company D

Company B

Company C

Video Solution

Instructions

The two plots below show data for four companies code-named A, B, C, and D over three years - 2019, 2020, and 2021.

Question 2

Which of the four companies experienced the highest annual loss in any of the years?

Company C

Company A

Company B

Company D

Video Solution

Instructions

The two plots below show data for four companies code-named A, B, C, and D over three years - 2019, 2020, and 2021.

Question 3

The ratio of a company's annual profit to its annual costs is a measure of its performance. Which of the four companies had the lowest value of this ratio in 2019?

Company A

Company D

Company B

Company C

Video Solution

Instructions

The two plots below show data for four companies code-named A, B, C, and D over three years - 2019, 2020, and 2021.

Question 4

The total number of employees lost in 2019 and 2020 was the least for:

Company B

Company D

Company A

Company C

Video Solution

Solution

It is given,

Company A:

The number of employees in the beginning of 2019 = 150

The number of employees hired in 2019 = 20

The number of employees should be at the beginning of 2020 is 150+20, i.e. 170 but there are 140 only. This implies 30 left company A in 2019.

The number of employees in the beginning of 2020 = 140

The number of employees hired in 2020 = 35

The number of employees should be at the beginning of 2021 is 140+35, i.e. 175 but there are 150 only. This implies 25 left company A in 2020.

The number of employees left company A in 2019 and 2020 = 30 + 25 = 55

Company B:

Similarly, the number of employees left company B in 2019 = 210 + 35 - 240 = 5

The number of employees left company B in 2020 = 240 + 45 - 250 = 35

The number of employees left company B in 2019 and 2020 = 5 + 35 = 40

Company C:

Similarly, the number of employees left company C in 2019 = 320 + 45 - 320 = 45

The number of employees left company C in 2020 = 320 + 40 - 320 = 40

The number of employees left company C in 2019 and 2020 = 45 + 40 = 85

Company D:

Similarly, the number of employees left company D in 2019 = 400 + 30 - 410 = 20

The number of employees left company D in 2020 = 410 + 35 - 400 = 45

The number of employees left company D in 2019 and 2020 = 20 + 45 = 65

The total number of employees lost in 2019 and 2020 is least for company B.

The answer is option A.

Instructions

The two plots below show data for four companies code-named A, B, C, and D over three years - 2019, 2020, and 2021.

Question 5

Profit per employee is the ratio of a company's profit to its employee strength. For this purpose, the employee strength in a year is the average of the employee strength at the beginning of that year and the beginning of the next year. In 2020, which of the four companies had the highest profit per employee?

Company D

Company C

Company B

Company A

Video Solution

Instructions

To compare the rainfall data, India Meteorological Department (IMD) calculated the Long Period Average (LPA) of rainfall during period June-August for each of the 16 states. The figure given below shows the actual rainfall (measured in mm) during June-August, 2019 and the percentage deviations from LPA of respective states in 2018. Each state along with its actual rainfall is presented in the figure.

Question 1

If a ‘Heavy Monsoon State’ is defined as a state with actual rainfall from June-August, 2019 of 900 mm or more, then approximately what percentage of ‘Heavy Monsoon States’ have a negative deviation from respective LPAs in 2019?

42.86

75.00

57.14

14.29

Video Solution

Instructions

Question 2

If a ‘Low Monsoon State’ is defined as a state with actual rainfall from June-August, 2019 of 750 mm or less, then what is the median ‘deviation from LPA’ (as defined in the Y-axis of the figure) of ‘Low Monsoon States’?

-10%

10%

-20%

-30%

Video Solution

Instructions

Question 3

What is the average rainfall of all states that have actual rainfall of 600 mm or less in 2019 and have a negative deviation from LPA?

367 mm

500 mm

450 mm

460 mm

Video Solution

Instructions

Question 4

The LPA of a state for a year is defined as the average rainfall in the preceding 10 years considering the period of June-August. For example, LPA in 2018 is the average rainfall during 2009-2018 and LPA in 2019 is the average rainfall during 2010-2019. It is also observed that the actual rainfall in Gujarat in 2019 is 20% more than the rainfall in 2009. The LPA of Gujarat in 2019 is closest to

475 mm

505 mm

490 mm

525 mm

Video Solution

Instructions

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 5

On which aspect is the median score of the five vendors the least?

Customer Service

Cost

Reliability

Quality

Video Solution

Instructions

Question 6

A vendor's final score is the average of their scores on all six aspects. Which vendor has the highest final score?

Vendor 4

Vendor 2

Vendor 1

Vendor 3

Video Solution

Instructions

Question 7

List of all the vendors who are among the top two scorers on the maximum number of aspects is:

Vendor 2, Vendor 3 and Vendor 4

Vendor 1 and Vendor 5

Vendor 2 and Vendor 5

Vendor 1 and Vendor 2

Video Solution

Instructions

Question 8

List of all the vendors who are among the top three vendors on all six aspects is:

Vendor 1 and Vendor 3

None of the Vendors

Vendor 3

Vendor 1

Video Solution

Instructions

A large store has only three departments, Clothing, Produce, and Electronics. The following figure shows the percentages of revenue and cost from the three departments for the years 2016, 2017 and 2018. The dotted lines depict percentage levels. So for example, in 2016, 50% of store's revenue came from its Electronics department while 40% of its costs were incurred in the Produce department

In this setup, Profit is computed as (Revenue - Cost) and Percentage Profit as Profit/Cost × 100%.
It is known that
1. The percentage profit for the store in 2016 was 100%.
2. The store’s revenue doubled from 2016 to 2017, and its cost doubled from 2016 to 2018.
3. There was no profit from the Electronics department in 2017.
4. In 2018, the revenue from the Clothing department was the same as the cost incurred in the Produce department.

Question 9

What was the percentage profit of the store in 2018?

Video Solution

Instructions

Question 10

What was the ratio of revenue generated from the Produce department in 2017 to that in 2018?

16 : 9

4 : 3

9 : 16

8 : 5

Video Solution

Instructions

Question 11

What percentage of the total profits for the store in 2016 was from the Electronics department?

Video Solution

Instructions

Question 12

What was the approximate difference in profit percentages of the store in 2017 and 2018?

15.5

25.0

8.3

33.3

Video Solution

Instructions

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:

Question 1

Considering all companies' products, which product category had the highest revenue?

No-hope

Blockbuster

Doubtful

Promising

Video Solution

Solution

Let us divide the given figure in four quadrants (Q1, Q2, Q3, Q4).

Let us solve this problem by considering only one category at a time.

(A) Blockbuster category: We have two information regarding Blockbuster category.

1. Alfa and Bravo had the same number of products in the Blockbuster category.

There are a total of 7 products in Blockbuster category. Alfa already has two products in blockbuster category. If Alfa has 3 products in blockbuster category then Bravo will also have 3 products in Blockbuster category which is not possible as there are 2 products of Charlie. Hence, we can say that Alfa and Bravo have 2 products each in Blockbuster category whereas Charlie has 3 products in Blockbuster category.

2. It is also given that Charlie had a higher revenue than Bravo from products in the Blockbuster category.

We know that one of the product 1 and 2 is from Charlie and the other is from Bravo.

If product 1 is from Charlie, then we can say that products 1, 7 and 5 are from Charlie. Therefore, revenue generated by products in Charlie category = 2 + 4 + 6 = 12 units. (Assuming area of a square to be 1 unit)

In this case product 2 and product n are from Bravo.Therefore, revenue generated by products in Bravo category = 6 + 9 = 15 units.

We can see that products from Charlie have a higher revenue than Bravo. Hence, this case in not possible.

Therefore, we can say that Product 1 is from Bravo and Product 2 is from Charlie. We have determined each product's company name in Blockbuster category.

(B) No-hope category: We have two information regarding No-hope category.

(1) Charlie had more products than Bravo but fewer products than Alfa in the No-hope category. Bravo and Charlie had the same revenue from products in the No-hope category.There are a total of 6 products in no-hope category.

Therefore, we can say that Alfa, Charlie and Bravo have 3, 2 and 1 products in No-hope category in that order.

Bravo and Charlie had the same revenue from products in the No-hope category.

Revenue generated for Bravo in the No-hope category = 4 units. We need same revenue for Charlie which ha s 2 products in this category. Hence, we can say that Product 10 and one of product 8 and 9 is from Charlie and other is from Alfa. Let's assume that product 8 is from Charlie and product 9 is from Alfa.

(C) Doubtful category: We have two information regarding Doubtful category.

(1). Charlie did not have any product in the Doubtful category, while Alfa had one product more than Bravo in this category .

(2). Bravo had a higher revenue than Alfa from products in the Doubtful category.

We can see that there are a total of 7 products in this category. Hence, we can say that 4 products are from Alfa and 3 products are from Bravo.

We can see that one of product 14, 15 and 16 is from Bravo company and others are from Alfa company. Bravo will have higher revenue than Alfa only when product no. 14 is from Bravo and others (15 and 16) are from Alfa category.

In this case total revenue by Bravo = Product 14 + Product 19 + Product 20 = 9 + 6 + 2 = 17

Similarly, total revenue by Charlie = Product 15 + Product 16 + Product 17 + Product 18 = 6 + 1 + 1 + 4 = 12

(D) Promising category: We have only 1 direct information regarding Promising category.

1. Each company had an equal number of products in the Promising category.

There are a total of 3 products in promising category with different revenue. Therefore, we can say that each company had 1 product in promising category. We are given that Alfa and Charlie had the same total revenue considering all products. We can calculate the revenue generated by Alfa and Charlie from the products in categories.

Revenue generated by Charlie from all categories except Promising = From Blockbuster + From No-hope + From Doubtful

$$\Rightarrow$$ (9+6+2) + (3+1) + (0) = 21 units

Revenue generated by Alfa from all categories except Promising = From Blockbuster + From No-hope + From Doubtful

$$\Rightarrow$$ (6+3) + (4+2+1) + (1+6+4+1) = 28 units

We can see the difference between revenue generated by Charlie and Alfa from remaining categories is 7 units. Hence, we can say that Charlie's product's revenue should be 7 units more than Alfa's product's revenue in Promising category. That is possible only in one case where product 22 is from Charlie and product 21 is form Alfa. Consequently, we can say that product 23 is from Bravo. Now we have identified each product's company name we can answer all the questions.

Revenue generated by the products in Promising category = 2 + 9 + 3 = 14 units.

Revenue generated by the products in Doubtful category = 1 + 9 + 4 + 6 + 2 + 1 + 6 = 29 units.

Revenue generated by the products in No-hope category = 4 + 4 + 3 + 2 + 1 + 1 = 15 units.

Revenue generated by the products in Blockbuster category = 6 + 3 + 6 + 2 + 4 + 6 + 9 = 36 units.

We can see that the revenue generated is the highest for Blockbuster category. Hence, option B is the correct answer.

Instructions

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:

Question 2

Which of the following is the correct sequence of numbers of products Bravo had in No-hope, Doubtful, Promising and Blockbuster categories respectively?

1,3,1,2

1,3,1,3

3,3,1,2

2,3,1,2