CAT DI Special Charts Questions & Solutions

A sample of real CAT DI Special Charts past-year questions, each with a worked solution and the correct answer highlighted. AthenaPrep has 54 DI Special Charts questions in all — sign up free to practise them timed.

Passage
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.
Q1.CAT 2025
Who had solved the largest number of puzzles by the 20-th minute from the start of the competition?
- Chandranath
- Koushik
- Suranjan
- Anirbid
Show solution
The left plot shows, for each competitor, a step (staircase) curve whose height at any time t equals the number of puzzles that competitor has completed by minute t.

To find who solved the most puzzles by the 20th minute, draw a vertical line at t=20 (or simply read the height of each competitor’s colored stair at the vertical line x=20).

Reading the four curves at t=20:

The green staircase (Koushik) is at the highest horizontal level at t=20.

The yellow (Chandranath) and red (Anirbid) staircases are lower than the green ones at that time.

The blue (Suranjan) staircase is the lowest of the four at t=20.

Since Koushik’s value is greater than every other competitor’s at t=20, Koushik has solved the largest number of puzzles by the 20th minute.

Hence, the correct answer is option B.
Passage
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.

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.
Q2.CAT 2025
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
Show 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).

Japan's export to India would be the same as India's import from Japan.

India is charging a 50% tariff on Japan, and the tariff by India on Japan equals 3.5 billion USD.

So, 50% of the imports equals 3.5 billion USD.

$\dfrac{50}{100}\ \times\$ Imports $=\ 3.5$

Imports $=\ 3.5\ \times\ 2\ =\ 7$ billion USD.

The value of imports by India from Japan = Japan's export to India = 7 billion USD.

Hence, the correct answer is option C.
Passage
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.
Q3.CAT 2024
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?
Answer: 4
Show solution
Writing down the values given in the candlestick chart in the form of a table for ease of calculation,

We are given that, 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)

Calculating it for the stocks
Stock A: 1200/2000=3/5
Stock B: 600/1850=60/185
Stock C: 600/1000=3/5
Stock D: 900/750=90/75=6/5
Stock E: 300/1200=1/4
Stock F: 800/1700=8/17
Stock G: 900/1450=90/145

We need to check for stocks greater than 0.5 on that day,
Stock A, Stock C, Stock D, Stock G have SPV greater than 0.5 that day.

Hence, the answer is 4.
Passage
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.

Q4.CAT 2024
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
Show solution
This can be a little difficult to solve since the bubbles are not closed within a fixed boundary, but in such instances, we should approximate the most visible cases.

Like the bubble of C in 2019 is almost 3 units vertically long in diameter, while that in 2023 is 2 units long.

The ratio of the amount spend on R&D on 2019 to 2024 would be given by: $\frac{2400\pi\left(1.5\right)^2\ }{3000\pi\ \left(1\right)^2}=\frac{8}{10}\times\ \frac{9}{4}=9:5$

Which is option D.
Passage
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.

Q5.CAT 2022
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
Show solution
It is given,

Measure of A's performance in 2019 = $\frac{90-85}{85}=\frac{5}{85}=0.06$

Measure of B's performance in 2019 = $\frac{100-75}{75}=\frac{25}{75}=0.33$

Measure of C's performance in 2019 = $\frac{25-20}{25}=\frac{5}{25}=0.2$

Measure of D's performance in 2019 = $\frac{50-40}{40}=\frac{10}{40}=0.25$

Company A had the lowest value.

The answer is option A.
Passage
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.

Q6.CAT 2019
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
Show 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.
Passage
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.
Q7.CAT 2019
What percentage of the total profits for the store in 2016 was from the Electronics department?
Answer: 70
Show solution
We can make the following table from the web chart given in the question:

If we consider the total cost in the year

2016 as 100, then according to Statement 1, the total revenue in 2016 must be 200.

The store’s revenue doubled from 2016 to 2017, thus the total revenue in the year 2017 = 400.

We can find the revenue for the individual department in the year 2017, from the table.

There was no profit from the Electronics department in 2017, thus, we can find the total cost in 2017= 300

Considering the statement 4, we can find the total revenue in 2018 and tabulate the following table.

Profit in 2016 = 200-100= 100
Profit in the electronic department in 2016= 100-30=70
The total profits= for the store in 2016 were from the Electronics department 70%
Passage
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.

Q8.CAT 2019
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
Show solution
The states Assam, WB, Jharkhand, Delhi and Manipur satisfy the conditions given in the question.

The actual rainfall of all these states in 2019 are 600,600,400,300,400

Average of these states= 2300/5=460mm
Passage
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.

Q9.CAT 2018
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?
- 40
- 24
- 34
- 30
Show 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.

Total revenue generated by Bravo products alone = From Blockbuster + From No-hope + From Doubtful + From Promising

$\Rightarrow$ (6+4) + (4) + (9+6+2) + (3) = 34 units

One box is equivalent to Rs. 1 crore therefore, we can say that total revenue generated by Bravo = Rs. 34 crores. Hence, option C is the correct answer.
Passage
The table below gives information about four different crops, their different quality, categories and the regions where they are cultivated. Based on the information given in the table answer the questions below.

Q10.CAT 2002
How many regions produce medium qualities of Crop-1 or Crop-2 and also produce low quality of Crop-3 or Crop-4?
- Zero
- One
- Two
- Three
Show solution
It can be seen that region 9 produce medium qualities of Crop-1 or Crop-2 and also produce low quality of Crop-3 or Crop-4.
Passage
Answer these questions based on the following Information:

ABC Ltd. produces widgets for which the demand is unlimited and they can sell all of their production. The graph below describes the monthly variable costs incurred by the company as a function of the quantity produced. In addition, operating the plant for one shift results in a fixed monthly cost of Rs. 800. Fixed monthly costs for second shift operation are estimated at Rs. 1200. Each shift operation provides capacity for producing 30 widgets per month.
Note: Average unit cost, AC = Total monthly costs/monthly production, and Marginal cost MC is the rate of change in total cost for unit change in quantity produced.

Q11.CAT 2000
From the data provided it can be inferred that, for production levels in the range of 0 to 60 units,
- MC is an increasing function of production quantity.
- MC is a decreasing function of production quantity.
- initially MC is a decreasing function of production quantity, attains a minimum and then it is an increasing function of production quantity.
- none of the above.
Show solution
As the graph is an increasing function, MC will always increase for increase in number of units.
Passage
Study the following graph and answer questions that follow. The x-axis denotes the years from 1983 to 1991

Q12.CAT 1991
The sum of food and fertilizer production has shown a constant value for how many years?
- None of the years
- 2
- 4
- 5
Show solution
In order to find the number of years for which the sum is same, we need to determine the change in production of food and fertilizer. If there is no effective change, then the sum of their productions is same.

Change in 1984 => +1 - 1.5 = -0.5

Change in 1985 => 0

Change in 1986 => -1.5 + 1.5 = 0

Change in 1987 => 0

Change in 1988 => +1.5 - 1.5 = 0

Change in 1989 => -2.5 + 0 = -2.5

Change in 1990 => 0 + 1.5 = 1.5

Change in 1991 => 0

The change is 0 in 5 years. Hence, the answer is option D.

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CAT DI Special Charts previous year questions with solutions — AthenaPrep

CAT DI Special Charts Questions & Solutions

Passage

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.

Q1.CAT 2025

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

Chandranath
Koushik
Suranjan
Anirbid

Show solution

The left plot shows, for each competitor, a step (staircase) curve whose height at any time t equals the number of puzzles that competitor has completed by minute t.

To find who solved the most puzzles by the 20th minute, draw a vertical line at t=20 (or simply read the height of each competitor’s colored stair at the vertical line x=20).

Reading the four curves at t=20:

The green staircase (Koushik) is at the highest horizontal level at t=20.

The yellow (Chandranath) and red (Anirbid) staircases are lower than the green ones at that time.

The blue (Suranjan) staircase is the lowest of the four at t=20.

Since Koushik’s value is greater than every other competitor’s at t=20, Koushik has solved the largest number of puzzles by the 20th minute.

Hence, the correct answer is option B.

Passage

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.

Q2.CAT 2025

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

Show 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).

Japan's export to India would be the same as India's import from Japan.

India is charging a 50% tariff on Japan, and the tariff by India on Japan equals 3.5 billion USD.

So, 50% of the imports equals 3.5 billion USD.

$\dfrac{50}{100}\ \times\$ Imports $=\ 3.5$

Imports $=\ 3.5\ \times\ 2\ =\ 7$ billion USD.

The value of imports by India from Japan = Japan's export to India = 7 billion USD.

Hence, the correct answer is option C.

Passage

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.

Q3.CAT 2024

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?

Answer: 4

Show solution

Writing down the values given in the candlestick chart in the form of a table for ease of calculation,

We are given that, 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)

Calculating it for the stocks
Stock A: 1200/2000=3/5
Stock B: 600/1850=60/185
Stock C: 600/1000=3/5
Stock D: 900/750=90/75=6/5
Stock E: 300/1200=1/4
Stock F: 800/1700=8/17
Stock G: 900/1450=90/145

We need to check for stocks greater than 0.5 on that day,
Stock A, Stock C, Stock D, Stock G have SPV greater than 0.5 that day.

Hence, the answer is 4.

Passage

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.

Q4.CAT 2024

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

Show solution

This can be a little difficult to solve since the bubbles are not closed within a fixed boundary, but in such instances, we should approximate the most visible cases.

Like the bubble of C in 2019 is almost 3 units vertically long in diameter, while that in 2023 is 2 units long.

The ratio of the amount spend on R&D on 2019 to 2024 would be given by: $\frac{2400\pi\left(1.5\right)^2\ }{3000\pi\ \left(1\right)^2}=\frac{8}{10}\times\ \frac{9}{4}=9:5$

Which is option D.

Passage

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.

Q5.CAT 2022

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

Show solution

It is given,

Measure of A's performance in 2019 = $\frac{90-85}{85}=\frac{5}{85}=0.06$

Measure of B's performance in 2019 = $\frac{100-75}{75}=\frac{25}{75}=0.33$

Measure of C's performance in 2019 = $\frac{25-20}{25}=\frac{5}{25}=0.2$

Measure of D's performance in 2019 = $\frac{50-40}{40}=\frac{10}{40}=0.25$

Company A had the lowest value.

The answer is option A.

Passage

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.

Q6.CAT 2019

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

Show 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.

Passage

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.

Q7.CAT 2019

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

Answer: 70

Show solution

We can make the following table from the web chart given in the question:

If we consider the total cost in the year

2016 as 100, then according to Statement 1, the total revenue in 2016 must be 200.

The store’s revenue doubled from 2016 to 2017, thus the total revenue in the year 2017 = 400.

We can find the revenue for the individual department in the year 2017, from the table.

There was no profit from the Electronics department in 2017, thus, we can find the total cost in 2017= 300

Considering the statement 4, we can find the total revenue in 2018 and tabulate the following table.

Profit in 2016 = 200-100= 100
Profit in the electronic department in 2016= 100-30=70
The total profits= for the store in 2016 were from the Electronics department 70%

Passage

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.

Q8.CAT 2019

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

Show solution

The states Assam, WB, Jharkhand, Delhi and Manipur satisfy the conditions given in the question.

The actual rainfall of all these states in 2019 are 600,600,400,300,400

Average of these states= 2300/5=460mm

Passage

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:

Q9.CAT 2018

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?

Show 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.

Total revenue generated by Bravo products alone = From Blockbuster + From No-hope + From Doubtful + From Promising

$\Rightarrow$ (6+4) + (4) + (9+6+2) + (3) = 34 units

One box is equivalent to Rs. 1 crore therefore, we can say that total revenue generated by Bravo = Rs. 34 crores. Hence, option C is the correct answer.

Passage

The table below gives information about four different crops, their different quality, categories and the regions where they are cultivated. Based on the information given in the table answer the questions below.

Q10.CAT 2002

How many regions produce medium qualities of Crop-1 or Crop-2 and also produce low quality of Crop-3 or Crop-4?

Zero
One
Two
Three

Show solution

It can be seen that region 9 produce medium qualities of Crop-1 or Crop-2 and also produce low quality of Crop-3 or Crop-4.

Passage

Answer these questions based on the following Information:

ABC Ltd. produces widgets for which the demand is unlimited and they can sell all of their production. The graph below describes the monthly variable costs incurred by the company as a function of the quantity produced. In addition, operating the plant for one shift results in a fixed monthly cost of Rs. 800. Fixed monthly costs for second shift operation are estimated at Rs. 1200. Each shift operation provides capacity for producing 30 widgets per month.
Note: Average unit cost, AC = Total monthly costs/monthly production, and Marginal cost MC is the rate of change in total cost for unit change in quantity produced.

Q11.CAT 2000

From the data provided it can be inferred that, for production levels in the range of 0 to 60 units,

MC is an increasing function of production quantity.
MC is a decreasing function of production quantity.
initially MC is a decreasing function of production quantity, attains a minimum and then it is an increasing function of production quantity.
none of the above.

Show solution

As the graph is an increasing function, MC will always increase for increase in number of units.

Passage

Study the following graph and answer questions that follow. The x-axis denotes the years from 1983 to 1991

Q12.CAT 1991

The sum of food and fertilizer production has shown a constant value for how many years?

None of the years
2
4
5

Show solution

In order to find the number of years for which the sum is same, we need to determine the change in production of food and fertilizer. If there is no effective change, then the sum of their productions is same.

Change in 1984 => +1 - 1.5 = -0.5

Change in 1985 => 0

Change in 1986 => -1.5 + 1.5 = 0

Change in 1987 => 0

Change in 1988 => +1.5 - 1.5 = 0

Change in 1989 => -2.5 + 0 = -2.5

Change in 1990 => 0 + 1.5 = 1.5

Change in 1991 => 0

The change is 0 in 5 years. Hence, the answer is option D.

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