Bar Graph (Calculation Based)
Q.No: 1
Test Name : CAT Actual Paper 2021 Slot-1
Directions for the questions 31 to 34: Answer the questions on the basis of the information given below.
The horizontal bars in the above diagram represent 2020 aggregate sales (in Rs. million) of a company for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all other product subcategories belong to the office supply product category. For each of the product subcategories, there is a vertical line indicating the sales of the corresponding subcategory in 2019.
The horizontal bars in the above diagram represent 2020 aggregate sales (in Rs. million) of a company for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all other product subcategories belong to the office supply product category. For each of the product subcategories, there is a vertical line indicating the sales of the corresponding subcategory in 2019.
How many subcategories had sales of Rs. 4 million or more in 2019 and registered an increase in sales in excess of 25% in 2020?
Solution:
Q.No: 2
Test Name : CAT Actual Paper 2021 Slot-1
Directions for the questions 31 to 34: Answer the questions on the basis of the information given below.
The horizontal bars in the above diagram represent 2020 aggregate sales (in Rs. million) of a company for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all other product subcategories belong to the office supply product category. For each of the product subcategories, there is a vertical line indicating the sales of the corresponding subcategory in 2019.
The horizontal bars in the above diagram represent 2020 aggregate sales (in Rs. million) of a company for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all other product subcategories belong to the office supply product category. For each of the product subcategories, there is a vertical line indicating the sales of the corresponding subcategory in 2019.
The total sales (in Rs. million) in 2019 from products in office supplies category is closest to
Solution:
Q.No: 3
Test Name : CAT Actual Paper 2021 Slot-1
Directions for the questions 31 to 34: Answer the questions on the basis of the information given below.
The horizontal bars in the above diagram represent 2020 aggregate sales (in Rs. million) of a company for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all other product subcategories belong to the office supply product category. For each of the product subcategories, there is a vertical line indicating the sales of the corresponding subcategory in 2019.
The horizontal bars in the above diagram represent 2020 aggregate sales (in Rs. million) of a company for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all other product subcategories belong to the office supply product category. For each of the product subcategories, there is a vertical line indicating the sales of the corresponding subcategory in 2019.
The percentage increase in sales in Furniture category from 2019 to 2020 is closest to
Solution:
Q.No: 4
Test Name : CAT Actual Paper 2021 Slot-1
Directions for the questions 31 to 34: Answer the questions on the basis of the information given below.
The horizontal bars in the above diagram represent 2020 aggregate sales (in Rs. million) of a company for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all other product subcategories belong to the office supply product category. For each of the product subcategories, there is a vertical line indicating the sales of the corresponding subcategory in 2019.
The horizontal bars in the above diagram represent 2020 aggregate sales (in Rs. million) of a company for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all other product subcategories belong to the office supply product category. For each of the product subcategories, there is a vertical line indicating the sales of the corresponding subcategory in 2019.
The improvement index for a category is the maximum percentage increase in sales from 2019 to 2020 among any of its subcategories.
The correct order of categories in increasing order of this improvement index is
Solution:
Q.No: 5
Test Name : CAT Actual Paper 2022 Slot-3
Directions for questions (40 to 44): 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.
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.
In 2000, what was the ratio of the number of dead males to dead females among those being tracked?
Solution:
In 2020, number of dead males
= 1000 – (180 + 205 + 160 + 100) = 355
In 2020, number of dead females
= 1000 – (210 + 175 + 150 + 120) = 345
Hence, required ratio = 355 : 345 = 71 : 69.
In 2020, number of dead males
= 1000 – (180 + 205 + 160 + 100) = 355
In 2020, number of dead females
= 1000 – (210 + 175 + 150 + 120) = 345
Hence, required ratio = 355 : 345 = 71 : 69.
Q.No: 6
Test Name : CAT Actual Paper 2022 Slot-3
Directions for questions (40 to 44): 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.
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.
How many people who were being tracked and who were between 30 and 40 years of age in 1980 survived until 2010?
Solution:
The number of people who were being tracked and who were between 30 and 40 years of age in 1980 survived until 2010 = 90 + 100 = 190.
The number of people who were being tracked and who were between 30 and 40 years of age in 1980 survived until 2010 = 90 + 100 = 190.
Q.No: 7
Test Name : CAT Actual Paper 2022 Slot-3
Directions for questions (40 to 44): 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.
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.
How many individuals who were being tracked and who were less than 30 years of age in 1980 survived until 2020?
Solution:
The number of individuals who were being tracked and who were less than 30 years of age in 1980 survived until 2020 = 140 + 125 + 100 + 105 = 470.
The number of individuals who were being tracked and who were less than 30 years of age in 1980 survived until 2020 = 140 + 125 + 100 + 105 = 470.
Q.No: 8
Test Name : CAT Actual Paper 2022 Slot-3
Directions for questions (40 to 44): 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.
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.
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?
Solution:
Number 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 = 205 – 165 = 40.
Number 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 = 205 – 165 = 40.
Q.No: 9
Test Name : CAT Actual Paper 2022 Slot-3
Directions for questions (40 to 44): 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.
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.
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?
Solution:
Number 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 = 175 – 145 = 30.
Number 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 = 175 – 145 = 30.
Solution:
Solution:
Solution:
Solution:
Solution:
In 2020, number of dead males
= 1000 – (180 + 205 + 160 + 100) = 355
In 2020, number of dead females
= 1000 – (210 + 175 + 150 + 120) = 345
Hence, required ratio = 355 : 345 = 71 : 69.
In 2020, number of dead males
= 1000 – (180 + 205 + 160 + 100) = 355
In 2020, number of dead females
= 1000 – (210 + 175 + 150 + 120) = 345
Hence, required ratio = 355 : 345 = 71 : 69.
Solution:
The number of people who were being tracked and who were between 30 and 40 years of age in 1980 survived until 2010 = 90 + 100 = 190.
The number of people who were being tracked and who were between 30 and 40 years of age in 1980 survived until 2010 = 90 + 100 = 190.
Solution:
The number of individuals who were being tracked and who were less than 30 years of age in 1980 survived until 2020 = 140 + 125 + 100 + 105 = 470.
The number of individuals who were being tracked and who were less than 30 years of age in 1980 survived until 2020 = 140 + 125 + 100 + 105 = 470.
Solution:
Number 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 = 205 – 165 = 40.
Number 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 = 205 – 165 = 40.
Solution:
Number 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 = 175 – 145 = 30.
Number 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 = 175 – 145 = 30.
