DI - Tables & Graphs - Previous Year CAT/MBA Questions
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Answer the following questions based on the information given.
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.
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?
- (a)
F
- (b)
A
- (c)
C
- (d)
D
Answer: Option D
Text Explanation :
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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
Text Explanation :
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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?
- (a)
F
- (b)
A
- (c)
G
- (d)
B
Answer: Option B
Text Explanation :
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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?
- (a)
50%
- (b)
80%
- (c)
72%
- (d)
100%
Answer: Option B
Text Explanation :
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Answer the following questions based on the information given below.
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.
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?
- (a)
Firm A
- (b)
Firm B
- (c)
Firm C
- (d)
Firm E
Answer: Option D
Text Explanation :
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The ratio of the amount of money spent by Firm C on R&D in 2019 to that in 2023 is closest to
- (a)
5 : 6
- (b)
9 : 5
- (c)
5 : 9
- (d)
9 : 4
Answer: Option B
Text Explanation :
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Which among the firms A, C, E, and F had the maximum PAT per employee in 2023?
- (a)
Firm C
- (b)
Firm E
- (c)
Firm F
- (d)
Firm A
Answer: Option A
Text Explanation :
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Which among the firms C, D, E, and F had the least amount of R&D spending per employee in 2023?
- (a)
Firm D
- (b)
Firm F
- (c)
Firm E
- (d)
Firm C
Answer: Option A
Text Explanation :
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Answer the following questions based on the information given below.
Over the top (OTT) subscribers of a platform are segregated into three categories: i) Kid, ii) Elder, and iii) Others. Some of the subscribers used one app and the others used multiple apps to access the platform. The figure below shows the percentage of the total number of subscribers in 2023 and 2024 who belong to the ‘Kid’ and ‘Elder’ categories
The following additional facts are known about the numbers of subscribers.
1. The total number of subscribers increased by 10% from 2023 to 2024.
2. In 2024, 1/2 of the subscribers from the ‘Kid’ category and 2/3 of the subscribers from the ‘Elder’ category subscribers use one app.
3. In 2023, the number of subscribers from the ‘Kid’ category who used multiple apps was the same as the number of subscribers from the ‘Elder’ category who used one app.
4. 10,000 subscribers from the ‘Kid’ category used one app and 15,000 subscribers from the ‘Elder’ category used multiple apps in 2023.
How many subscribers belonged to the ‘Others’ category in 2024?
- (a)
65000
- (b)
Cannot be determined
- (c)
55000
- (d)
45000
Answer: Option C
Text Explanation :
Workspace:
What percentage of subscribers in the ‘Kid’ category used multiple apps in 2023?
- (a)
33.33%
- (b)
5%
- (c)
25.5%
- (d)
50%
Answer: Option A
Text Explanation :
Workspace:
What was the percentage increase in the number of subscribers in the ‘Elder’ category from 2023 to 2024?
- (a)
40%
- (b)
50%
- (c)
60%
- (d)
65%
Answer: Option D
Text Explanation :
Workspace:
What could be the minimum percentage of subscribers who used multiple apps in 2024?
- (a)
20%
- (b)
22%
- (c)
16.5%
- (d)
10%
Answer: Option A
Text Explanation :
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Answer the following questions based on the information given below.
The table given below shows the amount, in grams, of carbohydrate, protein, fat and all other nutrients, per 100 grams of nutrients in seven foodgrains. The first column shows the foodgrain category and the second column its odename. The table has some missing values.
The following additional facts are known.
1. Both the pseudo-cereals had higher amounts of carbohydrate as well as higher amounts of protein than any millet.
2. Both the cereals had higher amounts of carbohydrate than any pseudo-cereal.
3. All the missing values of carbohydrate amounts (in grams) for all the foodgrains are non-zero multiples of 5.
4. All the missing values of protein, fat and other nutrients amounts (in grams) for all the foodgrains are non-zero multiples of 4.
5. P1 contained double the amount of protein that M3 contains.
How many foodgrains had a higher amount of carbohydrate per 100 grams of nutrients than M1?
Answer: 5
Text Explanation :
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How many grams of protein were there in 100 grams of nutrients in M2?
Answer: 12
Text Explanation :
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How many grams of other nutrients were there in 100 grams of nutrients in M3?
Answer: 24
Text Explanation :
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What is the median of the number of grams of protein in 100 grams of nutrients among these food grains?
Answer: 12
Text Explanation :
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Answer the following questions based on the information given below.
Out of 10 countries -- Country 1 through Country 10 -- Country 9 has the highest gross domestic product (GDP), and Country 10 has the highest GDP per capita. GDP per capita is the GDP of a country divided by its population. The table below provides the following data about Country 1 through Country 8 for the year 2024.
• Column 1 gives the country's identity.
• Column 2 gives the country’s GDP as a fraction of the GDP of Country 9.
• Column 3 gives the country’s GDP per capita as a fraction of the GDP per capita of Country 10.
• Column 4 gives the country’s annual GDP growth rate.
• Column 5 gives the country’s annual population growth rate.
Assume that the GDP growth rates and population growth rates of the countries will remain constant for the next three years
Which one among the countries 1 through 8, has the smallest population in 2024?
- (a)
Country 7
- (b)
Country 3
- (c)
Country 5
- (d)
Country 8
Answer: Option D
Text Explanation :
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The ratio of Country 4’s GDP to Country 5’s GDP in 2026 will be closest to
- (a)
1.195
- (b)
0.963
- (c)
1.032
- (d)
1.314
Answer: Option A
Text Explanation :
Workspace:
Which one among the countries 1, 4, 5, and 7 will have the largest population in 2027?
- (a)
Country 7
- (b)
Country 1
- (c)
Country 4
- (d)
Country 5
Answer: Option B
Text Explanation :
Workspace:
For how many countries among Country 1 through Country 8 will the GDP per capita in 2027 be lower than that in 2024?
Answer: 0
Text Explanation :
Workspace:
Answer the next 5 questions based on the information given below:
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.
Considering all three years, which company had the highest annual profit?
- (a)
Company D
- (b)
Company C
- (c)
Company B
- (d)
Company A
Answer: Option B
Text Explanation :
The given data can be tabulated as given below:
Income / Expense / Profit
Employees
Cumulative profit of 3 years for
A = 5 + 25 + 30 = Rs. 60 crores profit
B = 25 + 50 + 0 = Rs. 75 crores profit
C = 5 + 10 + 70 = Rs. 85 crores profit
D = 10 – 30 + 0 = Rs. 20 crores loss
Highest cumulative profit if for company C.
Hence, option (b).
Workspace:
Which of the four companies experienced the highest annual loss in any of the years?
- (a)
Company C
- (b)
Company A
- (c)
Company D
- (d)
Company B
Answer: Option C
Text Explanation :
Consider the solution for first question of this set.
Company D suffered highest loss for any particular year in 2020.
Hence, option (c).
Workspace:
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?
- (a)
Company C
- (b)
Company B
- (c)
Company D
- (d)
Company A
Answer: Option D
Text Explanation :
Consider the solution for first question of this set.
Ratio of (Annual profit) / (Annual Cost) in 2019 for
A = 5/85 = 1/17
B = 25/75 = 1/3
C = 5/20 = 1/4
D = 10/40 = ¼
This ratio is lowest for Company A.
Hence, option (a).
Workspace:
The total number of employees lost in 2019 and 2020 was the least for:
- (a)
Company B
- (b)
Company A
- (c)
Company D
- (d)
Company C
Answer: Option A
Text Explanation :
Consider the solution for first question of this set.
Employees lost in 2019 and 200 for
A = (170 - 140) = 30
B = (245 - 240) = 5
C = (370 - 325) = 45
D = (430 - 410) = 20
Least number of employees left is least for B.
Hence, option (a).
Workspace:
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?
- (a)
Company B
- (b)
Company C
- (c)
Company D
- (d)
Company A
Answer: Option A
Text Explanation :
Consider the solution for first question of this set.
Profit / (Average employee) ratio in 2020 for
Income / Expense / Profit
Employees
A = = =
B = = =
C = = =
D = = -
This ratio is highest for Company B.
Hence, option (a).
Workspace:
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