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This mock test of Sample IIFT Data Interpretation Quiz for CAT helps you for every CAT entrance exam.
This contains 18 Multiple Choice Questions for CAT Sample IIFT Data Interpretation Quiz (mcq) to study with solutions a complete question bank.
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QUESTION: 1

Group Question

Answer the following question based on the information given below.

The following bar chart gives the percentage growth in the number of households in the middle, upper middle and high income categories in the four regions for the period from 1987-88 to 1994-95

Additional directions for the last two questions of this set: If the same data as the above were used, with the additional information that the numbers of households in each category were equally distributed in all the regions then

**Q. Which region showed the highest growth rate in the number of households in all the income categories for the period?**

Solution:

It can be seen from the graph that the southern region showed the highest growth in number of household in all the income categories for the period.

QUESTION: 2

The following bar chart gives the percentage growth in the number of households in the middle, upper middle and high income categories in the four regions for the period from 1987-88 to 1994-95

Additional directions for the last two questions of this set: If the same data as the above were used, with the additional information that the numbers of households in each category were equally distributed in all the regions then

**Q. What was the total household income in the Northern Region for the upper middle class?**

Solution:

Using the number of households and the average income per household for the upper middle class, the total income for the upper middle class can be found.

However, the region wise distribution of upper middle class households is not known.

Hence, the total household income in the Northern region for the upper middle class cannot be found. Hence, option 4.

QUESTION: 3

The following bar chart gives the percentage growth in the number of households in the middle, upper middle and high income categories in the four regions for the period from 1987-88 to 1994-95

Additional directions for the last two questions of this set: If the same data as the above were used, with the additional information that the numbers of households in each category were equally distributed in all the regions then

**Q.What is the percentage increase in the total number of households for the Northern Region (upper middle) over the given period?**

Solution:

This question can be answered by direct observation.

From the bar chart, the percentage increase in the total number of households for the Northern region (upper middles class) is 200%.

Hence, option 2.

QUESTION: 4

The following bar chart gives the percentage growth in the number of households in the middle, upper middle and high income categories in the four regions for the period from 1987-88 to 1994-95

**Q. What was the average income of the high-income group in 1987-88?**

Solution:

From the table, the average income of the high income group in 1987-88 was Rs. 75,000.

Hence, option 1.

QUESTION: 5

**Q. The ratio of total income for the high income category to the upper middle class increased by how much percent in the given period?**

Solution:

In 1987-88:

The total income for the high income category households = 5000 x 75000 = Rs. 37,50,00,000 The total income for the upper middle class households = 10000 x 50000 = Rs. 50,00,00,000 Thus, the required ratio for 1987-88 = 375000000/500000000 = 3 : 4 = 0.75 It is given that the number of households in each category is equally distributed in all the regions.

Thus, there were 5000/4 = 1250 high income household in each region in 1987-88.

Similarly, there were 10000/4 = 2500 upper middle class households in each region in 1987-88.

In the year 1994-95:

The percentage growth in high income households in the four regions is 245%, 425%, 175% and 150% Thus, the number of high income households throughout the country in 1994-95 is: 1250 x (3.45 + 5.25 + 2.75 + 2.5) i.e. 1250 x 13.95 i.e 17438 households (approx) The percentage growth in upper middle class households in the four regions is 200%, 340%, 120% and 140%

Thus, the number of upper middle class households throughout the country in 1994-95 is: 2500 x (3 + 4.4 + 2.2 + 2.4) i.e. 2500 x 12 i.e 30000 households (approx). Therefore Total income for the high-income households = 17438 x 1.90 x 75000 = Rs. 2,48,49,15,000. Total income for upper middle class = 30000 x 1.6 x 50000 = Rs. 2,40,00,00,000 Thus, the required ratio for 1994-95 = 2484915000/2400000000 = 1.035 Thus, the ratio has increased in absolute terms by 1.035 - 0.75 = 0.285 Hence, the required percentage increase = (0.285/0.75) x 100

= 38%

The closest option is 36%.

Hence, option 2.

QUESTION: 6

**Q. The average income for the Northern region in 1987-88, was _____***.*

Solution:

The total income for the Northern region in 1987-88 = [(40000 x 30000) + (10000 x 50000) + (5000 x 75000)]/4 = (1200000000 + 500000000 + 375000000)/4

= 2075000000/4

= Rs. 51,87,50,000 The total number of household in the Norther region in 1987-88 = (40000 + 10000 + 5000)/4.

= 55000/4

=13750

Thus, the average income for the Northern region in 1987-88 = 518750000/13750

= Rs. 37,727 (approx) Hence, option 1.

QUESTION: 7

Group Question

Answer the following question based on the information given below.

Owing to a global economic slowdown the company Testa Ltd. has decided to review its employee compensation structure in order to cut costs. In the existing structure all 100 employees are paid a Fixed Salary (FS) equal to 10000 and a Variable Salary (VS), where the Variable Salary depends upon the performance of the company and is decided as a percentage of the Fixed Salary.

Employee salary = FS + VS The company is thinking of changing it into a variable pay structure where different groups of employees are paid as shown in the table below.

Where the Variable Salary depends on the company performance and is calculated as a percentage of Fixed salary.

**Q. The company does not perform satisfactorily and decides on a variable salary = 10% of fixed salary. What is the percentage gain/loss of the company if it uses the new structure with respect to the existing compensation structure?**

Solution:

As there are 100 employees and VS = 10% of FS In the existing structure, the total salary would be = 100 x (10000 + 10% of 10000) = Rs. 1100000

In the proposed new structure, total salary = 60 x (8000 + 10% of 8000) + 30 x (10000 + 10% of 10000) + 10 x (12000 + 10% of 12000)

= Rs. 990000 Difference in total salary = 1100000 - 990000 = Rs. 110000. The company saves Rs. 110000 if it uses the new compensation structure. Percentage gain = (110000/1100000) x 100 = 10%

Hence, option 3.

QUESTION: 8

Owing to a global economic slowdown the company Testa Ltd. has decided to review its employee compensation structure in order to cut costs. In the existing structure all 100 employees are paid a Fixed Salary (FS) equal to 10000 and a Variable Salary (VS), where the Variable Salary depends upon the performance of the company and is decided as a percentage of the Fixed Salary.

Employee salary = FS + VS The company is thinking of changing it into a variable pay structure where different groups of employees are paid as shown in the table below.

Where the Variable Salary depends on the company performance and is calculated as a percentage of Fixed salary.

**Q. If the variable salary is decided as 15% of the fixed salary in the existing compensation structure, what should be the percentage variable pay in the new compensation structure such that there is no difference in total employee compensation between both the structures?**

Solution:

YS = 15% of FS Total employee salary in the existing compensation structure = 100 x (10000 + 15% of 10000) = Rs. 1150000

Let the variable salary be x% of the fixed salary in the new compensation structure. Total salary in the new compensation structure = 60 x (8000 + x% of 8000) + 30 x (10000 + x% of 10000) + 10 x (12000 + x% of 12000)

= Rs. (900000 + 9000x)

For there to be no difference between the two compensation structures, 1150000 = 900000 + 9000x.

x = (250/9) % = 27.78% Hence, option 4.

QUESTION: 9

Owing to a global economic slowdown the company Testa Ltd. has decided to review its employee compensation structure in order to cut costs. In the existing structure all 100 employees are paid a Fixed Salary (FS) equal to 10000 and a Variable Salary (VS), where the Variable Salary depends upon the performance of the company and is decided as a percentage of the Fixed Salary.

Employee salary = FS + VS The company is thinking of changing it into a variable pay structure where different groups of employees are paid as shown in the table below.

Where the Variable Salary depends on the company performance and is calculated as a percentage of Fixed salary.

**Q. The company is not satisfied with the cost savings from the new compensation structure and decides to retrench 9 employees from employee categories of A and B such that employees retrenched from category A is twice those retrenched from category B. The variable pay for the new compensation is declared to be 10%. What should be the percentage variable pay in the old compensation structure such that there is no difference between the two?**

Solution:

As the company retrenches 9 employees the total employees now left are 91.

Let the employees retrenched from category B be y.

Employees retrenched from category A = 2y

y + 2y = 9.

y = 3. The employees in category A, B and C are 54, 27 and 10 respectively.

Total employee compensation in the new structure = 54 x (8000 + 10% of 8000) + 27 x (10000 + 10% of 10000) + 10 x (12000 + 10% of 12000).

Let the variable salary in the old compensation structure be z% of the fixed salary Total employee compensation in the old structure = 91 x (10000 + z% of 10000) = Rs. (910000 + 9100z) For there to be no difference in the two compensation structures, 904200 = 910000 + 9100z, which is not possible So, the total compensation of both the structures can never be same.

Hence, option 4.

QUESTION: 10

Owing to a global economic slowdown the company Testa Ltd. has decided to review its employee compensation structure in order to cut costs. In the existing structure all 100 employees are paid a Fixed Salary (FS) equal to 10000 and a Variable Salary (VS), where the Variable Salary depends upon the performance of the company and is decided as a percentage of the Fixed Salary.

**Q. If the total variable salary component of category A employees is equal to the total salary of category C employees, in the new system, then what percentage of the fixed salary is the variable salary?**

Solution:

Let the variable salary be x% of the fixed salary. Then, 60 * x% of 8000 = 10 *(12000 + x% of 12000). Therefore 4800x= 12000 + 1200x.

x= 33.33%

Hence, option 1

QUESTION: 11

Group Question

Answer the following question based on the information given below.

Analyze the charts given below that show the energy consumption and energy production of XYZ country from various sources. The difference in production and consumption of energy from any source is bridged through external trade (i.e. export or import) of energy from the same source. All the values are given in Terawatt-hours (Twh).

**Q. Which year registered the highest external trade in the energy sector? **

Solution:

External trade = | Imports _{coal} | + | Imports c rude _{oil} I + I Imports _{Natural gas} I + I Imports _{Nuclear} I + I Imports _{others} I

Imports = Consumption - Production In the equation above, exports have also been considered as imports i.e. a negative value of imports would actually mean an export.

From the table, the external trade is highest in the year 2013. Hence, option 4.

QUESTION: 12

Analyze the charts given below that show the energy consumption and energy production of XYZ country from various sources. The difference in production and consumption of energy from any source is bridged through external trade (i.e. export or import) of energy from the same source. All the values are given in Terawatt-hours (Twh).

**Q. In which year are the net imports of all the categories taken together the lowest?**

Solution:

Consider the solution to the first question.

Among the given options, net imports are lowest in 2009. Hence, option 1.

QUESTION: 13

Analyze the charts given below that show the energy consumption and energy production of XYZ country from various sources. The difference in production and consumption of energy from any source is bridged through external trade (i.e. export or import) of energy from the same source. All the values are given in Terawatt-hours (Twh).

**Q. Which of the following statement(s) is/are true?
I. In each year, net exports are always less than the external trade.
II. Coal is always exported.
III. Net import of energy from at least one source is nil from 2009- 2014.**

Solution:

Net exports = - net imports From the table, it is always less than the external trade.

Thus, statement I is true.

Import of coal in 2014 is 150TWh.

Thus, statement II is false.

Net import of nuclear energy = -300 + 0 + 200 + 100 -150 + 150 = 0

Thus, statement III is true.

Hence, option 3.

QUESTION: 14

Group Question

Answer the following question based on the information given below.

Eight friends Raju, Ravi, Ramesh, Rahul, Arjun, Arvind, Anish and Atul are skilled at making Handicraft items. In order to make money using their skills, they decide to make a certain number of handicraft items and sell them at a Handicraft Expo. They decided to minimize time and maximize their productivity by forming two groups. The people whose names start with the letter ‘R’ form Group 1 and the people whose names start with the letter ‘A’ form Group 2. Each person from Group 1 forms a team each person from Group 2 to produce a certain number of handicraft items of a particular type, the details of which are given in the tables below.

Table 1 gives details of the type of handicraft item produced by each team.

Table 2 gives details of the number of handicraft items produced by each team.

Table 3 gives the cost price and selling price of one item of each type

The money (Cost Price and Profit) is shared according to the number of items each one has worked on. For example, if Rahul and Arvind made 175 pots, the total cost price and the profit made by selling those pots would be shared equally.

**Q. Who has worked on the maximum number of handicraft items? **

Solution:

The number of handicraft items worked on by any person is directly given in table 2.

Raju, Rahul, Arvind and Anish have worked on 525, 500, 550 and 450 items respectively.

Thus, among these four people, Arvind has worked on the maximum number of handicraft items.

Hence, option 3.

QUESTION: 15

Eight friends Raju, Ravi, Ramesh, Rahul, Arjun, Arvind, Anish and Atul are skilled at making Handicraft items. In order to make money using their skills, they decide to make a certain number of handicraft items and sell them at a Handicraft Expo. They decided to minimize time and maximize their productivity by forming two groups. The people whose names start with the letter ‘R’ form Group 1 and the people whose names start with the letter ‘A’ form Group 2. Each person from Group 1 forms a team each person from Group 2 to produce a certain number of handicraft items of a particular type, the details of which are given in the tables below.

Table 1 gives details of the type of handicraft item produced by each team.

Table 2 gives details of the number of handicraft items produced by each team.

Table 3 gives the cost price and selling price of one item of each type

The money (Cost Price and Profit) is shared according to the number of items each one has worked on. For example, if Rahul and Arvind made 175 pots, the total cost price and the profit made by selling those pots would be shared equally.

**Q. For how many teams was the total selling price more than Rs. 15,000?**

Solution:

The total selling prices for the teams are given in the table below:

The total selling price was more than Rs. 15,000 for 2 teams: Raju-Anish and Rahul-Arvind.

Hence, option 1.

QUESTION: 16

Eight friends Raju, Ravi, Ramesh, Rahul, Arjun, Arvind, Anish and Atul are skilled at making Handicraft items. In order to make money using their skills, they decide to make a certain number of handicraft items and sell them at a Handicraft Expo. They decided to minimize time and maximize their productivity by forming two groups. The people whose names start with the letter ‘R’ form Group 1 and the people whose names start with the letter ‘A’ form Group 2. Each person from Group 1 forms a team each person from Group 2 to produce a certain number of handicraft items of a particular type, the details of which are given in the tables below.

Table 1 gives details of the type of handicraft item produced by each team.

Table 2 gives details of the number of handicraft items produced by each team.

Table 3 gives the cost price and selling price of one item of each type

The money (Cost Price and Profit) is shared according to the number of items each one has worked on. For example, if Rahul and Arvind made 175 pots, the total cost price and the profit made by selling those pots would be shared equally.

**Q. For how many teams was the ratio of the total cost price to the total selling price less than 0.5?**

Solution:

The ratio of cost price to selling price is less than 0.5 for only baskets and plates.

Hence, any team that has made baskets or plates satisfies the given conditions. 4 teams have made baskets and 1 team has made plates i.e. 5 teams satisfy the condition.

Hence, option 3.

QUESTION: 17

Eight friends Raju, Ravi, Ramesh, Rahul, Arjun, Arvind, Anish and Atul are skilled at making Handicraft items. In order to make money using their skills, they decide to make a certain number of handicraft items and sell them at a Handicraft Expo. They decided to minimize time and maximize their productivity by forming two groups. The people whose names start with the letter ‘R’ form Group 1 and the people whose names start with the letter ‘A’ form Group 2. Each person from Group 1 forms a team each person from Group 2 to produce a certain number of handicraft items of a particular type, the details of which are given in the tables below.

Table 1 gives details of the type of handicraft item produced by each team.

Table 2 gives details of the number of handicraft items produced by each team.

Table 3 gives the cost price and selling price of one item of each type

**Q. Which of the following statement(s) is/are true? **

**I. The total profit earned by Atul is Rs. 6,000 **

**II. The total selling price of all the items that Ramesh has worked on is Rs. 32,125 **

**III. The team of Raju and Arjun had the lowest total selling price of the items they had produced.**

Solution:

Statement III can be directly verified from the solutions to one of the earlier questions.

The team of Ramesh-Atul has the lowest selling price.

Hence, statement III is false.

Hence, options 2 and 4 can be eliminated.

Since II is present in both the remaining options, you can directly assume it to be true.

Hence, just verify I.

The total profit earned by Atul = (50/2) * 30 + (100/2) x 30 + (25/2 x 20) + (175/2 x 40) = Rs. 6,000 Thus, statement I is true.

Hence, option 1.

QUESTION: 18

Table 1 gives details of the type of handicraft item produced by each team.

Table 2 gives details of the number of handicraft items produced by each team.

Table 3 gives the cost price and selling price of one item of each type

**Q. For which type of handicraft was the total number of items produced the highest?**

Solution:

The total number of items for each type of handicraft is: Baskets = 125 + 200 + 50 + 50 = 425 Shoes = 75 + 100 + 75 + 100 + 250 = 600 Pots = 25 + 175 + 50 + 100 = 350 Lanterns = 100 + 175 = 275 Hence, option 2

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