# DI - Tables & Graphs - Previous Year CAT/MBA Questions

You can practice all previous year OMET questions from the topic DI - Tables & Graphs. This will help you understand the type of questions asked in OMET. It would be best if you clear your concepts before you practice previous year OMET questions.

**Answer the next 2 questions based on the information given below.**

The break-up of the students in a university by subject major is given in the polar pie-chart. The bar chart shows the number of students who major in physics by geographic location.

**XAT 2019 QADI | DI - Tables & Graphs**

How many students major in chemistry?

- A.
200

- B.
180

- C.
190

- D.
170

- E.
175

Answer: Option E

**Explanation** :

Total no of majors in Physics across all geographical locations = 18 + 36 + 80 + 40 + 23 + 28 = 225

Now students majoring in Physics account for 18% of all students

∴ 18% of total number of students = 225

∴ Total number of students = 225/0.18 = 1250

∴ No of students majoring in Physics = 14% of 1250 = 125 + 50 = 175

Hence, option (e).

Workspace:

**XAT 2019 QADI | DI - Tables & Graphs**

12% of all students are from Chennai. What is the largest possible percentage of economics students that can be from Chennai, rounded oﬀ to the nearest integer?

- A.
69%

- B.
71%

- C.
75%

- D.
73%

- E.
77%

Answer: Option D

**Explanation** :

Consider the solution to previous question.

Total number of students = 1250

12% of these are from Chennai = 12% of 1250 = 125 + 25 = 150

Out of these 150 students 40 are definitely majoring in Physics.

∴ Maximum students from Chennai who can major in Economics = 150 – 40 = 110.

Total number of students in Economics = 12% of 1250 = 150.

∴ Highest possible percentage of Economics students that can be from Chennai = 110/150 × 100% = 73.33% ≈ 73%.

Hence, option (d).

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**XAT 2019 QADI | DI - Tables & Graphs**

If the proportion of physics majors who are from Delhi is the same as the proportion of engineering majors who are from Delhi, how many engineering majors are from Delhi?

- A.
22

- B.
26

- C.
18

- D.
20

- E.
24

Answer: Option D

**Explanation** :

Total number of majors = 1250.

Number of majors in Engineering ≈ 20% 0f 1250 = 250.

Proportion of Physics major from Delhi = 18/225

Let number of Engineering majors from Delhi = d

∴ d/250 = 18/225

⇒ d = 18 × 250/225 = 20

Hence, option (d).

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**Answer the questions based on the following graph information.**

****The analyst at a retail giant has modelled the consumer spending and consumer sentiment to prepare a strategy on product offers in the upcoming festive season. The data given in the figure are from last 10 years on 3 parameters namely, food spending (Food_Spend), style spending (Style_Spend), and sentiment index (Sentiment_Index). Study the figure below and answer the following questions :

**IIFT 2019 LRDI | DI - Tables & Graphs**

From the years mentioned below, in which year Food_Spend as a proportion of Style_Spend is lowest ?

- A.
2012

- B.
2013

- C.
2015

- D.
2016

Answer: Option B

**Explanation** :

For the years given below, we can calculate the corresponding ratios from the data given in the figure:

2012 - 600/400 = 1.5

2013 - 800/700 = 1.14

2015 - 600/500 = 1.2

2016 - 600/500 = 1.2

2013 is the lowest

Hence, option 2.

Workspace:

**IIFT 2019 LRDI | DI - Tables & Graphs**

In which year, highest annual percentage change in Style_Spend is recorded ?

- A.
2015

- B.
2014

- C.
2013

- D.
2011

Answer: Option C

**Explanation** :

For the years given below, we can calculate the corresponding ratios from the data given in the figure:

2015 = (500-300)/300 = 0.66

2014 = (7000-300)/700 =0.57

2013 = (700-400)/400 = 0.75

2011 = (400-300)/400= 0.25

The highest percentage change is in the year 2013

Hence, option 3

Workspace:

**IIFT 2019 LRDI | DI - Tables & Graphs**

In which year, ratio of annual change in Style_Spend to annual change in Sentiment_Index is highest ?

- A.
2011

- B.
2012

- C.
2014

- D.
2017

Answer: Option C

**Explanation** :

For the years given below, we can calculate the corresponding ratios from the data given in the figure:

2011 Style spend = 400-300 = 100

2011 sentiment index = 60 - 50 =10

2011 ratio = 100/10 = 10

2012 Style spend = 100

2012 sentiment index = 10

2012 Ratio = 10

2014 Style spend = 400

2014 sentiment index = 30

2014 Ratio = 13.33

2017 style spend = 100

2017 sentiment Index = 10

2017 Ratio =10

Hence, option 3

Workspace:

**IIFT 2019 LRDI | DI - Tables & Graphs**

From the years mentioned below, in which year total of Food_Spend and Style_Spend as a proportion of Sentiment_Index is lowest ?

- A.
2011

- B.
2013

- C.
2016

- D.
2017

Answer: Option C

**Explanation** :

2011 : 1000/50 = 20

2013: 1500/90 = 16.66

2016: 1100/70 = 15.71

2017: 1100/60 = 18.33

Hence, Option 3

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**Answer the questions based on the following information:**

Given below are transactions of 17 customers who brought products available from a range of 5 products namely Product A, Product B, Product C, Product D and Product E, on a particular day. “1” means product was purchased and “0” means product was not purchased on that day. The retail manager wants to study the product purchase behaviour based on customer transactions. Example of Paired Product purchase, there are three paired product purchases made by customer with Customer_ID : 102 - (1) Product A and Product C, (2) Product A and Product D and (3) Product C and Product D.

**IIFT 2019 LRDI | DI - Tables & Graphs**

How many customers buy lowest selling product pair as well as highest selling product pair ?

- A.
2

- B.
0

- C.
1

- D.
3

Answer: Option C

**Explanation** :

From the above table, highest selling pair comes out to be B-D

and the least selling pair will be A-C

Also, there is only one customer (115) who buys both the above pairs.

Hence, option 3

Workspace:

**IIFT 2019 LRDI | DI - Tables & Graphs**

Given the profit margins of the products as follows : Product A - ₹50, Product B - ₹45, Product C - ₹60, Product D - ₹40 and Product E - ₹70, and the retailer decides to offer discount in case customer buys more than two products. The discount is equal to 10% of the margin of higher margin product in the combination of products purchased, then how many customer in the sample data generate profit margin of ₹150 or more ?

- A.
4

- B.
5

- C.
6

- D.
7

Answer: Option B

**Explanation** :

we have five such cutomers:** 101**(₹157) , **106**(₹198), **112**(₹213), **115**(₹258),** 117**(₹198).

Hence, option 2

Workspace:

**IIFT 2019 LRDI | DI - Tables & Graphs**

Assuming profit margin of the products is as follows : Product A - ₹50, Product B - ₹45, Product C - ₹60, Product D - ₹40 and Product E - ₹70, which of the following paired product purchases generates highest profit margin given the existing buying frequency ?

- A.
Product A and Product D

- B.
Product A and Product E

- C.
Product B and Product D

- D.
Product B and Product E

Answer: Option C

**Explanation** :

Product A and D = 6 × 90 = 540

Product A and E = 5 × 120 = 600

Product B and D = 8 × 85= 680

Product B and E = 5 × 115=575

Hence, option 3

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**IIFT 2019 LRDI | DI - Tables & Graphs**

How many paired product purchases were done with Product A as one product ?

- A.
16

- B.
17

- C.
18

- D.
19

Answer: Option B

**Explanation** :

A-B, A-C, A-D, A-E are the required pairs.

number of such pairs = 5 + 6 +2 + 4 = 17

Hence. option 2

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**Answer the questions based on the following information:**

The figures given below show the amount of work distribution (in operational hours) for a toy manufacturing company having manufacturing plants in Chennai and Kanpur. Each plant carries out six activities. Planned operational cost per hour of Chennai and Kanpur plants are ₹250 and ₹300 respectively. However, the actual operational cost per hour is ₹270 in Chennai and ₹315 in Kanpur.

Cost Difference (in %) = Absolute ((Actual Cost – Planned Cost) / Planned Cost) × 100

**IIFT 2019 LRDI | DI - Tables & Graphs**

Overall Cost difference in Chennai plant is approximately :

- A.
39%

- B.
41%

- C.
65%

- D.
70%

Answer: Option B

**Explanation** :

From the table above,

Planned cost in chennai = 1032 × 250 =258000

Actual cost in chennai = 1350 × 270 = 364500

Cost difference = (106500/258000) × 100 = 41%

Hence, option 2.

Workspace:

**IIFT 2019 LRDI | DI - Tables & Graphs**

Which of following activities has maximum cost difference in Kanpur Plant ?

- A.
Activity 1

- B.
Activity 3

- C.
Activity 4

- D.
Activity 5

Answer: Option B

**Explanation** :

Activity 1 : 50/100 × 100 = 50%

Activity 3 : 100/150 × 100= 66.6%

Activity 4 : 50/100 × 100 = 50%

Activity 5 = 50/250 × 100 = 20%

Hence, option 2

Workspace:

**IIFT 2019 LRDI | DI - Tables & Graphs**

In how many activities plant in Chennai has higher planned operational hours as compared to plant in Kanpur?

- A.
1

- B.
2

- C.
3

- D.
4

Answer: Option B

**Explanation** :

When compared to Kanpur, Chennai has more planned operational hours in Activity 2 and 6.

Hence, option 2

Workspace:

**IIFT 2019 LRDI | DI - Tables & Graphs**

In how many activities plant in Chennai could meet at least 50% shortfall in the actual operational hours compared to planned operational hours of plant in Kanpur ?

- A.
1

- B.
2

- C.
3

- D.
4

Answer: Option B

**Explanation** :

For Activity 1, 50% shortfall of planned and actual in Kanpur is 25.

Excess in chennai is 25. Hence,we can count this activity.

For Activity 2, we don't have any shortfall.

For Activity 3, the 50% shortfall will be 50.

Excess in chennai is 28, Hence this can be discarded.

For Activities 4 and 5, we don't have any shortfall.

For Activity 6, the 50% shortfall will be 25.

Excess in Chennai is 78. Hence,we can count this activity.

Hence, option 2

Workspace:

**Answer the questions based on the following information:**

The following table gives number of T-Shirts sold (in thousand units) in Delhi and Mumbai. The T-Shirts are sold in different styles (S1, S2, S3, and S4) with different colours as shown in the table.

**IIFT 2019 LRDI | DI - Tables & Graphs**

If the profit margin of T-Shirts of various styles S1, S2, S3 and S4 are ₹100, ₹100, ₹120 and ₹120 respectively, then among the colour and city combinations given below, which combination has the maximum profit ?

- A.
Red-Mumbai

- B.
Red-Delhi

- C.
Green-Delhi

- D.
Blue-Mumbai

Answer: Option C

**Explanation** :

Red - Mumbai = 100 × (76+89) + 120 × (65+81)=34020

Red - Delhi = 100 × (76+70) + 120 × (70 + 95) = 34400

Green - Delhi = 100 × (71+89) + 120 × (92+65) = 36040

Blue - Mumbai = 100 × (94+64) + 120 × (75+74) = 33680.

Maximum profit is with Green- Delhi

Hence, option 3

Workspace:

**IIFT 2019 LRDI | DI - Tables & Graphs**

Which style T-Shirt has highest difference in number of units sold between two cities of Delhi and Mumbai ?

- A.
S1

- B.
S2

- C.
S3

- D.
S4

Answer: Option D

**Explanation** :

S1 : Delhi = 507 ; Mumbai = 543 ; Difference = 36

S2 : Delhi = 506 ; Mumbai=560 ; Difference = 54

S3 : Delhi =515 ; Mumbai = 514 ; Difference = 1

S4 : Delhi = 496 ; Mumbai = 554 ; Difference = 58

Hence, option 4

Workspace:

**IIFT 2019 LRDI | DI - Tables & Graphs**

The average sales of which colour T-Shirt sold is same in both the cities ?

- A.
Yellow

- B.
Blue

- C.
Black

- D.
Red

Answer: Option D

**Explanation** :

Yellow : Delhi : 70.75 ; Mumbai : 66

Blue : Delhi : 83.25 ; Mumbai :76.75

Black : Delhi :67 ; Mumbai :92.5

Red : Delhi :77.75 ; Mumbai :77.75

Hence, option 4

Workspace:

**IIFT 2019 LRDI | DI - Tables & Graphs**

From the combinations given below, which one has minimum difference in units sold across cities of Delhi and Mumbai ?

- A.
Red - S2

- B.
Green - S2

- C.
Yellow – S1

- D.
Black -S3

Answer: Option D

**Explanation** :

Red S2 = 70 - 89 = 19

Green S2 = 89-70 = 19

Yellow S1 = 50-69 = 19

Black S3 = 76-94 = 18

Hence, option 4

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**Answer the next 3 questions based on the information given below.**

The graphs below represent the performance of four professors, across years, measured on four variables: Percentage of time spent on teaching, percentage of time spent on research, feedback (on a scale of 10, right-hand side) and number of publications (right-hand side). Assume that the cumulative time spent per year on research and teaching activities are same for all four professors and each of them taught only one course of 90 classroom hours.

**XAT 2018 QADI | DI - Tables & Graphs**

Which of the following, shows the maximum year to year percentage growth in feedback?

- A.
Professor Artihmetic during 2013-2014

- B.
Professor Algebra during 2015-2016

- C.
Professor Calculus during 2012-2013

- D.
Professor Calculus during 2014-2015

- E.
None of the above

Answer: Option C

**Explanation** :

Option (a): Growth is from 4 to 6.5, i.e., 62.5%.

Option (b): Growth is from 5 to 8, i.e., 60%.

Option (c): Growth is from 4 to 7, i.e., 75%.

Option (d): Growth is from 5.5 to 9, i.e., 63.6%.

Clearly, maximum growth is from 4 to 7 i.e., 75%.

Hence, option (c).

Workspace:

**XAT 2018 QADI | DI - Tables & Graphs**

Count the number of instances in which "annual decreasing efforts in research" is accompanied with "annual increase in feedback"?

- A.
5

- B.
7

- C.
9

- D.
11

- E.
None of the above

Answer: Option C

**Explanation** :

Prof. Arithmetic: 2 instances in years 2014 and 2016.

Prof. Algebra: 3 instances in years 2012, 2015 and 2016.

Prof. Geometry: 2 instances in years 2011 and 2014.

Prof. Calculus: 2 instances in years 2011 and 2015.

Therefore, there are 9 instances.

Hence, option (c).

Workspace:

**XAT 2018 QADI | DI - Tables & Graphs**

Research efficiency is the ratio of cumulative number of publication for a period of 3 years to the cumulative number of hours spent on research activity in those 3 years. Which of the following professors is the least efficient researcher for the period 2015 to 2017?

- A.
Professor Arithmetic

- B.
Professor Algebra

- C.
Professor Geometry

- D.
Professor Calculus

- E.
Cannot be determined as research is expressed in percentage

Answer: Option A

**Explanation** :

Since cumulative time spent per year on research and teaching activities is the same for all professors, we’ll directly take the percentages for calculations.

Research efficiency of Prof. Arithmetic = (2 + 3 + 3)/(70 + 50 + 60) = 2/45

Research efficiency of Prof. Algebra = (3 + 2 + 3)/(35 + 25 + 40) = 2/25

Research efficiency of Prof. Geometry = (3 + 1 + 4)/(75 + 25 + 20) = 2/30

Research efficiency of Prof. Calculus = (3 + 3 + 2)/(55 + 55 + 40) = 2/37.5

∴ The least efficient is Prof. Arithmetic.

Hence, option (a).

Workspace:

**Answer the following question based on the information given below.**

The data on select economic indicators for entire world comprising of 7 regions namely East Asia & Pacific, Europe & Central Asia, Latin America & Caribbean, Middle East & North Africa, North America, South Asia and Sub-saharan Africa is presented in Table-1 for the year 2017. Further, Table-2 represents the economic indicators for select countries.

GNI refers to Gross National Income (USD Billions), PPP refers to Purchasing Power Parity (USD Billions). POP refers to Population (Millions) and SA refers to Surface Area (Thousands sq. km).

**IIFT 2018 DI | DI - Tables & Graphs**

Arrange the countries in order of increasing population density (number of people per sq. kms).

- A.
Estonia, Kyrgyz Republic, Lao PDR, and Latvia

- B.
Estonia, Latvia, Kyrgyz Republic and Lao PDR

- C.
Estonia, Lao PDR, Kyrgyz Republic and Latvia

- D.
Estonia, Lao PDR, Latvia and Kyrgyz Republic

Answer: Option D

**Explanation** :

Population density = population (in millions)/surface area (in ‘000s sq.km)

Find this value for each country in the options. Observe that there are only four countries – Estonia, Kyrgyz Republic, Lao PDR and Latvia - in the options.

Also, among these, Estonia has been given as the lowest value for each option.

Hence, it need not be calculated.

Kyrgyz Republic: (6.5 × 106)/ (200 × 103)

= 32.5

Lao PDR: (7 × 106)/ (237 × 103) = 29.54

Latvia: (2 × 106)/ (65 × 103) = 30.77

Hence, the correct ascending order is: Estonia, Lao PDR, Latvia, Kyrgyz Republic

Hence, option 4.

Workspace:

**IIFT 2018 DI | DI - Tables & Graphs**

For which of the region, the 'GNI per capita' is closest to that of 'GNI per capita' of world?

- A.
East Asia & Pacific

- B.
Europe & Central Asia

- C.
Latin America & Caribbean

- D.
North America

Answer: Option A

**Explanation** :

GNI per capita = GNI/Population

GNI of world= sum of GNI of all the regions

23538 + 20738 + 5282 + 3220 + 20561 + 3118 + 1543 = 78000 billion

Population of world = Sum of population of all the regions

= 2314 + 915.5 + 644 + 444 + 363 + 1788 + 1061 = 7529.5 million

∴ GNI per capita of world

= (78000 × 1000)/7529.5 = 10359.25

Now, find GNI per capita for each region in the options.

East Asia and Pacific:

(23538 × 1000)/2314 = 10171.99

Europe and Central Asia:

(20738 × 1000)/915.5 = 22652.10

Latin America and Caribbean:

(5282 × 1000)/644 = 8201.86

North America: (20561 × 1000)/363 = 56641.87

Hence, the GNI of East Asia and Pacific is closest to that of the world.

Hence, option 1.

Workspace:

**IIFT 2018 DI | DI - Tables & Graphs**

What percentage of world's GNI is represented by combined GNI of India and US?

- A.
28.98

- B.
28.42

- C.
27.45

- D.
30.19

Answer: Option C

**Explanation** :

Consider the solution to the previous question.

World’s GNI = 78000 billion

Combined GNI of India and US

= 2430 + 18980 = 21410 billion

∴ Required % = (21410/78000) × 100 = 27.45%

Hence, option 3.

Workspace:

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