Practice Data change over a period questions for CAT with detailed solutions. Take free CAT Data change over a period previous year questions test.

The horizontal bars in the above diagram represent 2020 aggregate sales (in ₹ 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 ₹ million) in 2019 from products in office supplies category is closest to

correct answer:-**3**

The horizontal bars in the above diagram represent 2020 aggregate sales (in ₹ 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

correct answer:-**2**

The horizontal bars in the above diagram represent 2020 aggregate sales (in ₹ 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 ₹ 4 million or more in 2019 and registered an increase in sales in excess of 25% in 2020?

correct answer:-**1**

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

correct answer:-**1**

There are 21 employees working in a division, out of whom 10 are special-skilled employees (SE) and the remaining are regular-skilled employees (RE). During the next five months, the division has to complete five projects every month. Out of the 25 projects, 5 projects are "challenging", while the remaining ones are "standard". Each of the challenging projects has to be completed in different months. Every month, five teams — T1 T2, T3, T4 and T5, work on one project each. T1, T2, T3, T4 and T5 are allotted the challenging project in the first, second, third, fourth and fifth month, respectively. The team assigned the challenging project has one more employee than the rest.

In the first month, T1 has one more SE than T2, T2 has one more SE than T3, T 3 has one more SE than T4, and T4 has one more SE than T5. Between two successive months, the composition of the teams changes as follows:

a. The team allotted the challenging project, gets two SE from the team which was allotted the challenging project in the previous month. In exchange, one RE is shifted from the former team to the latter team.

b. After the above exchange, if T1 has any SE and T5 has any RE, then one SE is shifted from T1 to T5, and one RE is shifted from T5 to T1. Also, if T2 has any SE and T4 has any RE, then one SE is shifted from T2 to T4, and one RE is shifted from T4 to T2.

Each standard project has a total of 100 credit points, while each challenging project has 200 credit points. The credit points are equally shared between the employees included in that team.

The number of times in which the composition of team T2 and the number of times in which composition of team T4 remained unchanged in two successive months are:

correct answer:-**2**

There are 21 employees working in a division, out of whom 10 are special-skilled employees (SE) and the remaining are regular-skilled employees (RE). During the next five months, the division has to complete five projects every month. Out of the 25 projects, 5 projects are "challenging", while the remaining ones are "standard". Each of the challenging projects has to be completed in different months. Every month, five teams — T1 T2, T3, T4 and T5, work on one project each. T1, T2, T3, T4 and T5 are allotted the challenging project in the first, second, third, fourth and fifth month, respectively. The team assigned the challenging project has one more employee than the rest.

In the first month, T1 has one more SE than T2, T2 has one more SE than T3, T 3 has one more SE than T4, and T4 has one more SE than T5. Between two successive months, the composition of the teams changes as follows:

a. The team allotted the challenging project, gets two SE from the team which was allotted the challenging project in the previous month. In exchange, one RE is shifted from the former team to the latter team.

b. After the above exchange, if T1 has any SE and T5 has any RE, then one SE is shifted from T1 to T5, and one RE is shifted from T5 to T1. Also, if T2 has any SE and T4 has any RE, then one SE is shifted from T2 to T4, and one RE is shifted from T4 to T2.

Each standard project has a total of 100 credit points, while each challenging project has 200 credit points. The credit points are equally shared between the employees included in that team.

The number of SE in T1 and T5 for the projects in the third month are, respectively:

correct answer:-**1**

There are 21 employees working in a division, out of whom 10 are special-skilled employees (SE) and the remaining are regular-skilled employees (RE). During the next five months, the division has to complete five projects every month. Out of the 25 projects, 5 projects are "challenging", while the remaining ones are "standard". Each of the challenging projects has to be completed in different months. Every month, five teams — T1 T2, T3, T4 and T5, work on one project each. T1, T2, T3, T4 and T5 are allotted the challenging project in the first, second, third, fourth and fifth month, respectively. The team assigned the challenging project has one more employee than the rest.

In the first month, T1 has one more SE than T2, T2 has one more SE than T3, T 3 has one more SE than T4, and T4 has one more SE than T5. Between two successive months, the composition of the teams changes as follows:

a. The team allotted the challenging project, gets two SE from the team which was allotted the challenging project in the previous month. In exchange, one RE is shifted from the former team to the latter team.

b. After the above exchange, if T1 has any SE and T5 has any RE, then one SE is shifted from T1 to T5, and one RE is shifted from T5 to T1. Also, if T2 has any SE and T4 has any RE, then one SE is shifted from T2 to T4, and one RE is shifted from T4 to T2.

Each standard project has a total of 100 credit points, while each challenging project has 200 credit points. The credit points are equally shared between the employees included in that team.

Which of the following CANNOT be the total credit points earned by any employee from the projects?

correct answer:-**2**

In the first month, T1 has one more SE than T2, T2 has one more SE than T3, T 3 has one more SE than T4, and T4 has one more SE than T5. Between two successive months, the composition of the teams changes as follows:

a. The team allotted the challenging project, gets two SE from the team which was allotted the challenging project in the previous month. In exchange, one RE is shifted from the former team to the latter team.

b. After the above exchange, if T1 has any SE and T5 has any RE, then one SE is shifted from T1 to T5, and one RE is shifted from T5 to T1. Also, if T2 has any SE and T4 has any RE, then one SE is shifted from T2 to T4, and one RE is shifted from T4 to T2.

Each standard project has a total of 100 credit points, while each challenging project has 200 credit points. The credit points are equally shared between the employees included in that team.

One of the employees named Aneek scored 185 points. Which of the following CANNOT be true?

correct answer:-**4**

Directions for the following four questions:

Answer the following questions based on the information given below.

The following table shows the break-up of actual costs incurred by a company in last five years (year 2002 to year 2006) to produce a particular product.

The production capacity of the company is 2000 units. The selling price for the year 2006 was Rs. 125 per unit. Some costs change almost in direct proportion to the change in volume of production, while others do not follow any obvious pattern of change with respect to the volume of production and hence are considered fixed. Using the information provided for the year 2006 as the basis for projecting the figures for the year 2007, answer the following questions:

What is the approximate cost per unit in rupees, if the company produces and sells 1400 units in the year 2007?

correct answer:-**2**

Directions for the following four questions:

Answer the following questions based on the information given below.

The following table shows the break-up of actual costs incurred by a company in last five years (year 2002 to year 2006) to produce a particular product.

The production capacity of the company is 2000 units. The selling price for the year 2006 was Rs. 125 per unit. Some costs change almost in direct proportion to the change in volume of production, while others do not follow any obvious pattern of change with respect to the volume of production and hence are considered fixed. Using the information provided for the year 2006 as the basis for projecting the figures for the year 2007, answer the following questions:

What is the minimum number of units that the company needs to produce and sell to avoid any loss?

correct answer:-**3**

Directions for the following four questions:

Answer the following questions based on the information given below.

The following table shows the break-up of actual costs incurred by a company in last five years (year 2002 to year 2006) to produce a particular product.

The production capacity of the company is 2000 units. The selling price for the year 2006 was Rs. 125 per unit. Some costs change almost in direct proportion to the change in volume of production, while others do not follow any obvious pattern of change with respect to the volume of production and hence are considered fixed. Using the information provided for the year 2006 as the basis for projecting the figures for the year 2007, answer the following questions:

If the company reduces the price by 5%, it can produce and sell as many units as it desires. How many units the company should produce to maximize its profit?

correct answer:-**5**

Directions for the following four questions:

Answer the following questions based on the information given below.

The production capacity of the company is 2000 units. The selling price for the year 2006 was Rs. 125 per unit. Some costs change almost in direct proportion to the change in volume of production, while others do not follow any obvious pattern of change with respect to the volume of production and hence are considered fixed. Using the information provided for the year 2006 as the basis for projecting the figures for the year 2007, answer the following questions:

Given that the company cannot sell more than 1700 units, and it will have to reduce the price by Rs.5 for all units if it wants to sell more than 1400 units. What is the maximum profit that can be realized provided that the company sells more than 1400 units?

correct answer:-**2**

DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.

Spam that enters our electronic mailboxes can be classified under several spam heads. The following table shows the distribution of such spam worldwide over time. The total number of spam emails received during December 2002 was larger than the number received in June 2003. The total number of spam emails received during September 2002 was larger than the number received in March 2003. The figures in the table represent the percentage of all spam emails received during that period, falling into those respective categories.

In which category was the percentage of spam emails increasing but at a decreasing rate?

correct answer:-**3**

DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.

Spam that enters our electronic mailboxes can be classified under several spam heads. The following table shows the distribution of such spam worldwide over time. The total number of spam emails received during December 2002 was larger than the number received in June 2003. The total number of spam emails received during September 2002 was larger than the number received in March 2003. The figures in the table represent the percentage of all spam emails received during that period, falling into those respective categories.

In the health category, the number of spam emails received in December 2002 as compared to June 2003.

correct answer:-**1**

DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.

Spam that enters our electronic mailboxes can be classified under several spam heads. The following table shows the distribution of such spam worldwide over time. The total number of spam emails received during December 2002 was larger than the number received in June 2003. The total number of spam emails received during September 2002 was larger than the number received in March 2003. The figures in the table represent the percentage of all spam emails received during that period, falling into those respective categories.

In the financial category, the number of spam emails received in September 2002 as compared to March 2003.

correct answer:-**4**

One of the functions of the Reserve Bank of India is to mobilize funds for the Government of India by issuing securities. The following table shows details of funds mobilized during the period July 2002 - July 2003. Notice that on each date there were two rounds of issues, each with a different maturity.

How many times was the issue of securities under-subscribed, i.e., how often did the total amount mobilized fall short of the amount notified?

correct answer:-**2**

One of the functions of the Reserve Bank of India is to mobilize funds for the Government of India by issuing securities. The following table shows details of funds mobilized during the period July 2002 - July 2003. Notice that on each date there were two rounds of issues, each with a different maturity.

Which of the following is true?

correct answer:-**3**

One of the functions of the Reserve Bank of India is to mobilize funds for the Government of India by issuing securities. The following table shows details of funds mobilized during the period July 2002 - July 2003. Notice that on each date there were two rounds of issues, each with a different maturity.

Which of the following statements is NOT true?

correct answer:-**4**

The following table shows the revenue and expenses in millions of Euros (European currency) associated with REPSOL YPF company’s oil and gas producing activities in operations in different parts of the world for 1998-2000.

How many operations (Spain, North Africa and Middle East,..) of the company accounted for less than 5% of the total revenue earned in 1999?

correct answer:-**3**

The following table shows the revenue and expenses in millions of Euros (European currency) associated with REPSOL YPF company’s oil and gas producing activities in operations in different parts of the world for 1998-2000.

How many operations (Spain, North Africa and Middle East…) of the company witnessed more than 200% increase in revenue from 1999 to 2000?

correct answer:-**2**

The following table shows the revenue and expenses in millions of Euros (European currency) associated with REPSOL YPF company’s oil and gas producing activities in operations in different parts of the world for 1998-2000.

How many operations registered a sustained yearly increase in income before taxes and charges from 1998 to 2000?

correct answer:-**2**

Ignoring the loss making operations of the company in 1998, for how many operations was the percentage increase in net income before taxes and charges higher than the average from 1998 to 1999?

correct answer:-**2**

If profitability is defined as the ratio of net income after taxes and charges to expense, which of the following statements is true?

correct answer:-**2**

In 2000, which among the following countries had the best profitability?

correct answer:-**2**

If efficiency is defined as the ratio of revenue to expenses, which operation was the least efficient in 2000?

correct answer:-**4**

Of the following statements, which one is not true?

correct answer:-**4**

The table below shows the age-wise distribution of the population of Reposia. The number of people aged below 35 years is 400 million.

If the ratio of females to males in the ‘below 15 years’ age group is 0.96, then what is the number of females (in millions) in that age group?

correct answer:-**2**

Directions for the next 4 questions: Answer these questions based on the table below:

The table shows trends in external transactions of Indian corporate sector during the period 1993-94 to 1997-98. In addition, following definitions hold good:

Sales, Imports, and Exports, respectively denote the sales, imports and exports in year i.

Deficit in year I, Deficit1 = Imports - Exports

Deficit Intensity in year I, DI = Deficit/Sales Growth rate of deficit intensity in year I, GDI = $$\frac{DI_i - DI_{i-1}}{DI_{i-1}}$$

Further, note that all imports are classified as either raw material or capital goods.

Trends in External Transactions of Indian Corporate Sector (All figures in %)

The highest growth rate in deficit intensity was recorded in:

correct answer:-**1**

Directions for the next 4 questions: Answer these questions based on the table below:

The table shows trends in external transactions of Indian corporate sector during the period 1993-94 to 1997-98. In addition, following definitions hold good:

Sales, Imports, and Exports, respectively denote the sales, imports and exports in year i.

Deficit in year I, Deficit1 = Imports - Exports

Deficit Intensity in year I, DI = Deficit/Sales Growth rate of deficit intensity in year I, GDI = $$\frac{DI_i - DI_{i-1}}{DI_{i-1}}$$

Further, note that all imports are classified as either raw material or capital goods.

Trends in External Transactions of Indian Corporate Sector (All figures in %)

The value of the highest growth rate in deficit intensity is approximately:

correct answer:-**4**

Directions for the next 4 questions: Answer these questions based on the table below:

The table shows trends in external transactions of Indian corporate sector during the period 1993-94 to 1997-98. In addition, following definitions hold good:

Sales, Imports, and Exports, respectively denote the sales, imports and exports in year i.

Deficit in year I, Deficit1 = Imports - Exports

Deficit Intensity in year I, DI = Deficit/Sales Growth rate of deficit intensity in year I, GDI = $$\frac{DI_i - DI_{i-1}}{DI_{i-1}}$$

Further, note that all imports are classified as either raw material or capital goods.

Trends in External Transactions of Indian Corporate Sector (All figures in %)

In 1997-98 the total cost of raw materials is estimated as 50% of sales of that year. The turn over of Gross fixed assets, defined as the ratio of sales to Gross fixed assets, in 1997-98 is, approximately;

correct answer:-**2**

Directions for the next 4 questions: Answer these questions based on the table below:

Sales, Imports, and Exports, respectively denote the sales, imports and exports in year i.

Deficit in year I, Deficit1 = Imports - Exports

Trends in External Transactions of Indian Corporate Sector (All figures in %)

Which of the following statements can be inferred to be true from the given data?

correct answer:-**4**

Directions for the next 5 questions: Answer the questions with reference to the table given below: Information Technology Industry in India (Figures are in million US dollars)

Additional instructions:

For any activity A, year X dominates years Y if IT business in activity A, in the year X, is greater than the IT business, in activity A, in the year Y. For any two IT business activities, A & B, year X dominates year Y if:

a) The IT business in activity A, in the year X, is greater than or equal to the IT business, in activity A in the year Y,

b) The IT business in activity B, in the year X, is greater than or equal to the IT business in activity B in the year Y and

c) There should be strict inequality in the case of at least one activity.

For the two IT business activities, hardware and peripherals, which one of the following is true?

correct answer:-**4**

Directions for the next 5 questions: Answer the questions with reference to the table given below: Information Technology Industry in India (Figures are in million US dollars)

The total annual exports lay between 35 and 40 percent of the total annual business of the IT industry, in the years:

correct answer:-**2**

Directions for the next 5 questions: Answer the questions with reference to the table given below: Information Technology Industry in India (Figures are in million US dollars)

The highest percentage growth in the total IT business, relative to the previous year was achieved in:

correct answer:-**1**

Which one of the following statements is correct?

correct answer:-**3**

Additional instructions:

For any activity A, year X dominates years Y if IT business in activity A, in the year X, is greater than the IT business, in activity A, in the year Y. For any two IT business activities, A & B, year X dominates year Y if:

a) The IT business in activity A, in the year X, is greater than or equal to the IT business, in activity A in the year Y,

b) The IT business in activity B, in the year X, is greater than or equal to the IT business in activity B in the year Y and

c) There should be strict inequality in the case of at least one activity.

For the IT hardware business activity, which one of the following is not true?

correct answer:-**4**

The following table gives the number of rooms in different hotels in Mumbai and the cost of building each one of them. Note that all the projects started in 1997

Note: All projects start in 1997.

Which of the following had the least cost per room?

correct answer:-**1**

The following table gives the number of rooms in different hotels in Mumbai and the cost of building each one of them. Note that all the projects started in 1997

Note: All projects start in 1997.

Which of the following has the maximum number of rooms per crore of rupees?

correct answer:-**3**

The following table gives the number of rooms in different hotels in Mumbai and the cost of building each one of them. Note that all the projects started in 1997

Note: All projects start in 1997.

Assume that the cost of the project is incurred in the year of completion; interest is charged at the rate of 10% per annum. What is the cost incurred for projects completed in 1998?

correct answer:-**3**

Note: All projects start in 1997.

Assume that the cost of the project is incurred in the year of completion; interest is charged at the rate of 10% per annum. What is the cost incurred for projects completed in 1999?

correct answer:-**1**

Note: All projects start in 1997.

What is the approximate cost incurred for projects completed by 2000? (in crores)

correct answer:-**1**

In 1974, the amount of agricultural loans formed what percentage of the total loans?

correct answer:-**1**

From the given data, the number of rural loans up to 1980 formed approximately what percentage of those in 1983?

correct answer:-**2**

Which of the following pairs of years showed the maximum increase in the number of rural bank loans?

correct answer:-**4**

What is the value(in millions) of the agricultural loans in 1983 at 1970 prices?

correct answer:-**2**

In which year was the number of rural bank loans per rural bank least?

correct answer:-**3**

What is the simple annual rate of increase in the number of agricultural loans from 1970 to 1983?

correct answer:-**2**

If the consumer price index for 1970 is to be taken as 105 and the indices for the subsequent years are to be corrected accordingly, by roughly how many points do the indices for 1983 and 1975 differ?

correct answer:-**1**

If the consumer price index for 1970 is to be taken as 105 and the indices for the subsequent years are to be corrected accordingly, what is the approximate value of the agricultural loans in 1980 at 1983 prices?

correct answer:-**1**

If the amount of power consumed by the various regions in sector 1 is the same, then as compared to 1991-92 the net tariff in 1994-95

correct answer:-**1**

What was the approximate average tariff in sector 3 in 1991-92?

correct answer:-**2**

In 1994-95, if there was 10% decrease in the domestic consumption of power as compared to that in 1991-92, what was the consumption of power in the rural sector in 1991-92?

correct answer:-**4**

In the given 2 years, what is the total tariff paid by the urban sector?

correct answer:-**4**

Which of the following statements is true?

correct answer:-**2**

By what per cent was the total investment in the two districts more in 1996 as compared to 1995?

correct answer:-**4**

The investment in electricity and thermal energy in 1995 in these two districts formed what per cent of the total investment made in that year?

correct answer:-**2**

In Khammam district, the investment in which area in 1996 showed the highest percentage increase over the investment in that area in 1995?

correct answer:-**2**

Approximately how many times was the total investment in Chittoor to the total investment in Khammam?

correct answer:-**3**

If the total investment in Khammam shows the same rate of increase in 1997, as it had shown from 1995 to 1996, what approximately would be the total investment in Khammam in 1997?

correct answer:-**1**

Direction for questions: Answer the questions based on the following information. The data given in the table shows the investment details in country ‘Fortune Land’ of companies A, B, C, D, E and F. Figures in the table are in US dollars in billions.

What is the percentage increase in investment of B, C, D and E from year 1 to year 3?

correct answer:-**3**

Direction for questions: Answer the questions based on the following information. The data given in the table shows the investment details in country ‘Fortune Land’ of companies A, B, C, D, E and F. Figures in the table are in US dollars in billions.

What is the ratio of investments of E to F for the years 1 to 3?

correct answer:-**2**

Direction for questions: Answer the questions based on the following information. The data given in the table shows the investment details in country ‘Fortune Land’ of companies A, B, C, D, E and F. Figures in the table are in US dollars in billions.

What is D’s contribution as a percentage of total investments in year 2?

correct answer:-**3**

For which company is investment not increased from year 1 to year 3?

correct answer:-**4**

By what percentage is the investments of companies D,E,F greater than the investments of companies A, B, C in year 2?

correct answer:-**2**

The following table gives the national income and the population of a country for the years 1984 – 85 to 1989 – 90. For each of the following questions choose the best alternative:

The increase in the per capita income compared to the previous year is lowest for the year :

correct answer:-**2**

The following table gives the national income and the population of a country for the years 1984 – 85 to 1989 – 90. For each of the following questions choose the best alternative:

The per capita income is highest for the year :

correct answer:-**4**

The following table gives the national income and the population of a country for the years 1984 – 85 to 1989 – 90. For each of the following questions choose the best alternative:

The difference between the percentage increase in per capita income and the percentage increase in the population compared to the previous year is highest for the year:

correct answer:-**4**

The rate of increase in population was lowest in the year:

correct answer:-**1**

Increase in the per capita income compared to the previous year among the years given below was highest for the year:

correct answer:-**4**

The table below shows the estimated cost (in Rs. Lakh) of a project of laying a railway line between two places.

The total expenditure is required to be kept within Rs. 700 lakh by cutting the expenditure on administration equally in all the years. What will be the percentage cut for 1989?

correct answer:-**3**

The table below shows the estimated cost (in Rs. Lakh) of a project of laying a railway line between two places.

If the length of line to be laid each year is in proportion to the estimated cost for material and labour, what fraction of the total length is proposed to be completed by the third year?

correct answer:-**2**

The table below shows the estimated cost (in Rs. Lakh) of a project of laying a railway line between two places.

What is the approximate ratio of the total cost of materials for all the years bear to the total labour cost?

correct answer:-**2**

If the cost of materials rises by 5% each year from 1990 onwards, by how much will the estimated cost rise?

correct answer:-**2**

It is found at the end of 1990, that the entire amount estimated for the project has been spent. If for 1991, the actual amount spent was equal to that which was estimated, by what percent (approximately) has the actual expenditure exceeded the estimated expenditure?

correct answer:-**2**

After preparing the estimate, the provision for contingencies is felt inadequate and is therefore doubled. By what percent does the total estimate increase?

correct answer:-**1**