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CAT 2025 Lesson : DILR: May '25 to Jun '25 - Charts - 28 May 2025
Read the following and answer the questions that follow
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.
[CAT 2022 Shift 2]
1) Considering all three years, which company had the highest annual profit?
(1) Company D
(2) Company A
(3) Company C
(4) Company B
2) Which of the four companies experienced the highest annual loss in any of the years?
(1) Company D
(2) Company A
(3) Company B
(4) Company C
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?
(1) Company B
(2) Company D
(3) Company A
(4) Company C
4) The total number of employees lost in 2019 and 2020 was the least for:
(1) Company A
(2) Company B
(3) Company D
(4) Company C
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?
(1) Company D
(2) Company B
(3) Company C
(4) Company A
Read the following and answer the Questions that follow
In the following, a year corresponds to 1st of January of that year.
A study to determine the mortality rate for a disease began in 1980. The study chose 1000 males and 1000 females and followed them for forty years or until they died, whichever came first. The 1000 males chosen in 1980 consisted of 250 each of ages 10 to less than 20, 20 to less than 30, 30 to less than 40, and 40 to less than 50. The 1000 females chosen in 1980 also consisted of 250 each of ages 10 to less than 20, 20 to less than 30, 30 to less than 40, and 40 to less than 50.
The four figures below depict the age profile of those among the 2000 individuals who were still alive in 1990, 2000, 2010, and 2020. The blue bars in each figure represent the number of males in each age group at that point in time, while the pink bars represent the number of females in each age group at that point in time. The numbers next to the bars give the exact numbers being represented by the bars. For example, we know that 230 males among those tracked and who were alive in 1990 were aged between 20 and 30.
6) In 2000, what was the ratio of the number of dead males to dead females among those being tracked?
(1) 109 : 107
(2) 129 : 131
(3) 41 : 43
(4) 71 : 69
7) How many people who were being tracked and who were between 30 and 40 years of age in 1980 survived until 2010?
(1) 190
(2) 310
(3) 90
(4) 110
8) How many individuals who were being tracked and who were less than 30 years of age in 1980 survived until 2020?
(1) 240
(2) 580
(3) 470
(4) 230
9) How many of the males who were being tracked and who were between 20 and 30 years of age in 1980 died in the period 2000 to 2010?
Answer:
10) How many of the females who were being tracked and who were between 20 and 30 years of age in 1980 died between the ages of 50 and 60?
Answer:
Read the following and answer the questions that follow
The different bars in the diagram above provide information about different orders in various categories (Art, Binders, ….) that were booked in the first two weeks of September of a store for one client. The colour and pattern of a bar denotes the ship mode (First Class / Second Class / Standard Class). The left end point of a bar indicates the booking day of the order, while the right end point indicates the dispatch day of the order. The difference between the dispatch day and the booking day (measured in terms of the number of days) is called the processing time of the order. For the same category, an order is considered for booking only after the previous order of the same category is dispatched. No two consecutive orders of the same category had identical ship mode during this period.
For example, there were only two orders in the furnishing category during this period. The first one was shipped in the Second Class. It was booked on Sep 1 and dispatched on Sep 5. The second order was shipped in the Standard class. It was booked on Sep 5 (although the order might have been placed before that) and dispatched on Sep 12. So the processing times were 4 and 7 days respectively for these orders.
11) How many days between Sep 1 and Sep 14 (both inclusive) had no booking from this client considering all the above categories?
Answer:
12) What was the average processing time of all orders in the categories which had only one type of ship mode?
Answer:
13) The sequence of categories -- Art, Binders, Paper and Phones -- in decreasing order of average processing time of their orders in this period is:
(1) Phones, Art, Binders, Paper
(2) Phones, Binders, Art, Paper
(3) Art, Binders, Paper, Phones
(4) Paper, Binders, Art, Phones
14) Approximately what percentage of orders had a processing time of one day during the period Sep 1 to Sep 22 (both dates inclusive)?
(1) 22%
(2) 20%
(3) 16%
(4) 25%
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.
[CAT 2022 Shift 2]
1) Considering all three years, which company had the highest annual profit?
(1) Company D
(2) Company A
(3) Company C
(4) Company B
2) Which of the four companies experienced the highest annual loss in any of the years?
(1) Company D
(2) Company A
(3) Company B
(4) Company C
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?
(1) Company B
(2) Company D
(3) Company A
(4) Company C
4) The total number of employees lost in 2019 and 2020 was the least for:
(1) Company A
(2) Company B
(3) Company D
(4) Company C
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?
(1) Company D
(2) Company B
(3) Company C
(4) Company A
Read the following and answer the Questions that follow
In the following, a year corresponds to 1st of January of that year.
A study to determine the mortality rate for a disease began in 1980. The study chose 1000 males and 1000 females and followed them for forty years or until they died, whichever came first. The 1000 males chosen in 1980 consisted of 250 each of ages 10 to less than 20, 20 to less than 30, 30 to less than 40, and 40 to less than 50. The 1000 females chosen in 1980 also consisted of 250 each of ages 10 to less than 20, 20 to less than 30, 30 to less than 40, and 40 to less than 50.
The four figures below depict the age profile of those among the 2000 individuals who were still alive in 1990, 2000, 2010, and 2020. The blue bars in each figure represent the number of males in each age group at that point in time, while the pink bars represent the number of females in each age group at that point in time. The numbers next to the bars give the exact numbers being represented by the bars. For example, we know that 230 males among those tracked and who were alive in 1990 were aged between 20 and 30.
6) In 2000, what was the ratio of the number of dead males to dead females among those being tracked?
(1) 109 : 107
(2) 129 : 131
(3) 41 : 43
(4) 71 : 69
7) How many people who were being tracked and who were between 30 and 40 years of age in 1980 survived until 2010?
(1) 190
(2) 310
(3) 90
(4) 110
8) How many individuals who were being tracked and who were less than 30 years of age in 1980 survived until 2020?
(1) 240
(2) 580
(3) 470
(4) 230
9) How many of the males who were being tracked and who were between 20 and 30 years of age in 1980 died in the period 2000 to 2010?
Answer:
10) How many of the females who were being tracked and who were between 20 and 30 years of age in 1980 died between the ages of 50 and 60?
Answer:
Read the following and answer the questions that follow
The different bars in the diagram above provide information about different orders in various categories (Art, Binders, ….) that were booked in the first two weeks of September of a store for one client. The colour and pattern of a bar denotes the ship mode (First Class / Second Class / Standard Class). The left end point of a bar indicates the booking day of the order, while the right end point indicates the dispatch day of the order. The difference between the dispatch day and the booking day (measured in terms of the number of days) is called the processing time of the order. For the same category, an order is considered for booking only after the previous order of the same category is dispatched. No two consecutive orders of the same category had identical ship mode during this period.
For example, there were only two orders in the furnishing category during this period. The first one was shipped in the Second Class. It was booked on Sep 1 and dispatched on Sep 5. The second order was shipped in the Standard class. It was booked on Sep 5 (although the order might have been placed before that) and dispatched on Sep 12. So the processing times were 4 and 7 days respectively for these orders.
11) How many days between Sep 1 and Sep 14 (both inclusive) had no booking from this client considering all the above categories?
Answer:
12) What was the average processing time of all orders in the categories which had only one type of ship mode?
Answer:
13) The sequence of categories -- Art, Binders, Paper and Phones -- in decreasing order of average processing time of their orders in this period is:
(1) Phones, Art, Binders, Paper
(2) Phones, Binders, Art, Paper
(3) Art, Binders, Paper, Phones
(4) Paper, Binders, Art, Phones
14) Approximately what percentage of orders had a processing time of one day during the period Sep 1 to Sep 22 (both dates inclusive)?
(1) 22%
(2) 20%
(3) 16%
(4) 25%
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