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

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

**Answer the next 4 questions based on the information given **

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.

**CAT 2021 LRDI Slot 1 | DI - Tables & Graphs**

The total sales (in ₹ million) in 2019 from products in office supplies category is closest to

- A.
16.5

- B.
12.5

- C.
13.5

- D.
18

Answer: Option C

**Explanation** :

**Office Supplies in 2019**:

3.6 (Binders) + 0.4(Art) + 1.9 (Appliances) + 0.4 (Envelopes) + 0.1 (Fasteners) + 0.2 (Labels) + 1.5 (Paper) + 4.3 (Storage) + 1.1 (Supplies) = 13.5

Hence, option (c).

Workspace:

**CAT 2021 LRDI Slot 1 | DI - Tables & Graphs**

The percentage increase in sales in Furniture category from 2019 to 2020 is closest to

- A.
20%

- B.
1%

- C.
8%

- D.
25%

Answer: Option C

**Explanation** :

Furniture sales in 2019:

1.9 + 6.1 + 2 + 4.4 = 14

Furniture sales in 2020:

2.2 + 6.5 + 2 + 4.5 = 15.2

∴ % change = (15.2 - 14)/14 × 100% ≈ 8.6%

Hence, option (c).

Workspace:

**CAT 2021 LRDI Slot 1 | DI - Tables & Graphs**

How many subcategories had sales of ₹ 4 million or more in 2019 and registered an increase in sales in excess of 25% in 2020?

Answer: 1

**Explanation** :

Only Phones registered an increase of more than 25% from 2019 to 2020 and also had sales of more than $4 million in 2019.

Hence, 1.

Workspace:

**CAT 2021 LRDI Slot 1 | DI - Tables & Graphs**

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

- A.
furniture, technology, office supply

- B.
technology, furniture, office supply

- C.
office supply, technology, furniture

- D.
office supply, furniture, technology

Answer: Option A

**Explanation** :

In furniture category, Chairs subcategory has the highest % increase i.e., approx. 15%.

∴ Improvement index for furniture is 15%.

In office supply category, Appliances subcategory has the highest % increase i.e., approx. 60%.

∴ Improvement index for office supply is 60%.

In technology category, Accessories subcategory has the highest % increase i.e., approx. 40%.

∴ Improvement index for technology is 40%.

∴ Improvement index of Furniture < Technology < Office Supplies.

Hence, option (a).

Workspace:

**Answer the next 4 questions based on the information given **

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.

**CAT 2021 LRDI Slot 2 | DI - Tables & Graphs**

How many days between Sep 1 and Sep 14 (both inclusive) had no booking from this client considering all the above categories?

Answer: 6

**Explanation** :

There were no bookings on September 8, 9, 10, 11, 12 and 14.

∴ There was no booking on 6 days.

Hence, 6.

Workspace:

**CAT 2021 LRDI Slot 2 | DI - Tables & Graphs**

What was the average processing time of all orders in the categories which had only one type of ship mode?

Answer: 11

**Explanation** :

Let us first calculate the total processing time for categories which had only one type of shipping mode.

Accessories – 18 days

Envelopes – 4 days

Total number of orders = 1 + 1 = 2

∴ Average processing time = (18 + 4)/2 = 11

Hence, 11.

Workspace:

**CAT 2021 LRDI Slot 2 | DI - Tables & Graphs**

The sequence of categories -- Art, Binders, Paper and Phones -- in decreasing order of average processing time of their orders in this period is:

- A.
Phones, Art, Binders, Paper

- B.
Paper, Binders, Art, Phones

- C.
Art, Binders, Paper, Phones

- D.
Phones, Binders, Art, Paper

Answer: Option A

**Explanation** :

Let us calculate the average processing time for Arts:

Total number of days = 20

Total no. of orders = 4

∴ Average processing time for Art = 20/5 = 4 days

Similarly,

Average processing time for Binders = 15/4 = 3.75 days

Average processing time for Paper = 10/3 = 3.33 days

Average processing time for Phones = 15/3 = 5 days

Decreasing order of average processing time is

Phones > Art > Binders > Paper.

Hence, option (a).

Workspace:

**CAT 2021 LRDI Slot 2 | DI - Tables & Graphs**

Approximately what percentage of orders had a processing time of one day during the period Sep 1 to Sep 22 (both dates inclusive)?

- A.
25%

- B.
22%

- C.
16%

- D.
20%

Answer: Option D

**Explanation** :

Total number of orders = 5 + 4 + 3 + 3 + 2 + 3 + 3 + 2 + 2 + 2 + 2 + 1 + 1 + 2 = 35

Number of orders with processing time of one day = 1 (Art) + 2 (Binders) + 1 (Phones) + 2 (Bookcases) + 1 (Chairs) = 7

∴ Percentage of orders had a processing time of one day = 7/35 × 100 = 20%

Hence, option (d).

Workspace:

**Answer the next 4 questions based on the information given **

The figure above shows the schedule of four employees – Abani, Bahni, Danni and Tinni – whom Dhoni supervised in 2020. Altogether there were five projects which started and concluded in 2020 in which they were involved. For each of these projects and for each employee, the starting day was at the beginning of a month and the concluding day was the end of a month, and these are indicated by the left and right end points of the corresponding horizontal bars. The number within each bar indicates the percentage of assigned work completed by the employee for that project, as assessed by Dhoni.

For each employee, his/her total project-month (in 2020) is the sum of the number of months (s)he worked across the five project, while his/her annual completion index is the weightage average of the completion percentage assigned from the different projects, with the weights being the corresponding number of months (s)he worked in these projects. For each project, the total employee-month is the sum of the number of months four employees worked in this project, while its completion index is the weightage average of the completion percentage assigned for the employees who worked in this project, with the weights being the corresponding number of months they worked in this project.

**CAT 2021 LRDI Slot 3 | DI - Tables & Graphs**

Which of the following statements is/are true?

I: The total project-month was the same for the four employees.

II: The total employee-month was the same for the five projects.

- A.
Both I and II

- B.
Neither I nor II

- C.
Only II

- D.
Only I

Answer: Option D

**Explanation** :

Total project month for

Abani: 2 + 2 + 5 = 9

Bahni: 2 + 4 + 3 = 9

Danni: 3 + 3 + 2 + 1 = 9

Tinni: 2 + 2 + 3 + 2 = 9

∴ Total project month was same for all 4 employees.

Total employee month

Project 1: 2 + 2 +2 = 6

Project 2: 3 + 2 = 5

Project 3: 2 + 4 + 3 = 9

Project 4: 5 + 2 + 3 = 10

Project 5: 3 + 1 + 2 = 6

∴ Total employee month was not same for all projects.

Hence, option (d).

Workspace:

**CAT 2021 LRDI Slot 3 | DI - Tables & Graphs**

Which employees did not work in multiple projects for any of the months in 2020?

- A.
Only Tinni

- B.
Only Abani, Bahni and Danni

- C.
Only Abani and Bahni

- D.
All four of them

Answer: Option B

**Explanation** :

Only Tinni worked for project 4 and 5 during September.

No other employee worked for multiple projects at the same time.

Hence, option (b).

Workspace:

**CAT 2021 LRDI Slot 3 | DI - Tables & Graphs**

The project duration, measured in terms of the number of months, is the time during which at least one employee worked in the project. Which of the following pairs of the projects had the same duration?

- A.
Project 4, Project 5

- B.
Project 3, Project 5

- C.
Project 1, Project 5

- D.
Project 3, Project 4

Answer: Option D

**Explanation** :

Project duration for

Project 1: jan to mar i.e., 3 months

Project 2: feb to apr i.e., 3 months

Project 3: apr to aug i.e., 5 months

Project 4: jul to nov i.e., 5 months

Project 5: sep to dec i.e., 4 months

Hence, option (d).

Workspace:

**CAT 2021 LRDI Slot 3 | DI - Tables & Graphs**

The list of employees in decreasing order of annual completion index is:

- A.
Danni, Tinni, Bahni, Abani

- B.
Danni, Tinni, Abani, Bahni

- C.
Tinni, Danni, Abani, Bahni

- D.
Bahni, Abani, Tinni, Danni

Answer: Option B

**Explanation** :

Annual completion index for

Abani = (1 × 2 + 1 × 2 + 0.8 × 5)/9 = 8/9

Bahni = (1 × 2 + 0.75 × 4 + 0.9 × 3)/9 = 7.7/9

Danni = (0.9 × 3 + 1 × 3 + 1 × 2 + 1 × 1)/9 = 8.7/9

Tinni = (0.8 × 2 + 1 × 2 + 1 × 3 + 1 × 2)/9 = 8.6/9

∴ Danni < Tinni < Abani < Bahni

Hence, option (b).

Workspace:

**Answer the next 4 questions based on the information given below.**

The local office of the APP-CAB company evaluates the performance of five cab drivers, Arun, Barun, Chandan, Damodaran, and Eman for their monthly payment based on ratings infive different parameters (P1 to P5) as given below:

**P1**: timely arrival

**P2**: behaviour

**P3**: comfortable ride

**P4**: driver's familiarity with the route

**P5**: value for money

Based on feedback from the customers, the office assigns a rating from 1 to 5 in each of these parameters. Each rating is an integer from a low value of 1 to a high value of 5. The final rating of a driver is the average of his ratings in these five parameters. The monthly payment of the drivers has two parts – a fixed payment and final rating-based bonus. If a driver gets a rating of 1 in any of the parameters, he is not eligible to get bonus. To be eligible for bonus a driver also needs to get a rating of five in at least one of the parameters.

The partial information related to the ratings of the drivers in different parameters and the monthly payment structure (in rupees) is given in the table below:

The following additional facts are known.

- Arun and Barun have got a rating of 5 in exactly one of the parameters. Chandan has got a rating of 5 in exactly two parameters.
- None of drivers has got the same rating in three parameters.

**CAT 2020 LRDI Slot 1 | DI - Tables & Graphs**

If Damodaran does not get a bonus, what is the maximum possible value of his final rating?

- A.
3.6

- B.
3.2

- C.
3.8

- D.
3.4

Answer: Option A

**Explanation** :

Damodaran does not get bonus. Hence, either he got a rating of 1 in one of the parameters or he did not get a rating of 5 in any of the parameters.

The average rating would be maximum when he gets 2 5-star ratings long with a 1-star rating.

∴ Average rating for Damodaran = (5 + 5 + 4 + 3 + 1)/5 = 18/5 = 3.6

Hence, option (a).

Workspace:

**CAT 2020 LRDI Slot 1 | DI - Tables & Graphs**

If Eman gets a bonus, what is the minimum possible value of his final rating?

- A.
3.4

- B.
3.0

- C.
3.2

- D.
2.8

Answer: Option B

**Explanation** :

Since Eman gets the bonus he must have got at least one 5-star rating and no 1-star rating.

Average rating will be minimum when Eman get only 1 5-start rating, 2 2-start rating and 2 3-star rating.

∴ Average = (5 + 3 + 3 + 2 + 2)/5 = 15/5 = 3.

Hence, option (b).

Workspace:

**CAT 2020 LRDI Slot 1 | DI - Tables & Graphs**

If all five drivers get bonus, what is the minimum possible value of the monthly payment (in rupees) that a driver gets?

- A.
1750

- B.
1600

- C.
1740

- D.
1700

Answer: Option D

**Explanation** :

Since we have to minimize the monthly payment, we need to minimize the average rating for all the drivers.

Minimum average rating for

**Arun **= (5 + 4 + 3 + 2 + 2)/5 = 16/5 = 3.2

⇒ Monthly payment = 1000 + 250 × 3.2 = 1800

**Barun **= (5 + 3 + 3 + 2 + 2)/5 = 15/5 = 3

⇒ Monthly payment = 1200 + 200 × 3 = 1800

**Chandan **= (5 + 5 + 3 + 2 + 2)/5 = 17/5 = 3.4

⇒ Monthly payment = 1400 + 100 × 3.4 = 1740

**Damodaran **= (5 + 3 + 3 + 2 + 2)/5 = 15/5 = 3

⇒ Monthly payment = 1300 + 150 × 3 = 1750

**Eman **= (5 + 3 + 3 + 2 + 2)/5 = 15/5 = 3

⇒ Monthly payment = 1100 + 200 × 3 = 1700

∴ Minimum monthly payment is Rs. 1700.

Hence, option (d).

Workspace:

**CAT 2020 LRDI Slot 1 | DI - Tables & Graphs**

If all five drivers get bonus, what is the maximum possible value of the monthly payment (in rupees) that a driver gets?

- A.
1900

- B.
1950

- C.
1960

- D.
2050

Answer: Option C

**Explanation** :

Since we have to maximize the monthly payment, we need to maximise the average rating for all the drivers.

Minimum average rating for

Arun = (5 + 4 + 4 + 3 + 3)/5 = 19/5 = 3.8

⇒ Monthly payment = 1000 + 250 × 3.8 = 1950

Barun = (5 + 4 + 4 + 3 + 3)/5 = 19/5 = 3.8

⇒ Monthly payment = 1200 + 200 × 3.8 = 1960

Chandan = (5 + 5 + 4 + 4 + 2)/5 = 20/5 = 4

⇒ Monthly payment = 1400 + 100 × 4 = 1800

Damodaran = (5 + 5 + 4 + 4 + 3)/5 = 21/5 = 4.2

⇒ Monthly payment = 1300 + 150 × 4.2 = 1930

Eman = (5 + 5 + 4 + 4 + 2)/5 = 20/5 = 4

⇒ Monthly payment = 1100 + 200 × 4 = 1900

∴ Maximum monthly payment is Rs. 1960.

Hence, option (c).

Workspace:

**Answer the next 4 questions based on the information given below.**

A chain of departmental stores has outlets in Delhi, Mumbai, Bengaluru and Kolkata. The sales are categorized by its three departments – ‘Apparel’, ‘Electronics’, and ‘HomeDecor’. An Accountant has been asked to prepare a summary of the 2018 and 2019 sales amounts for an internal report. He has collated partial information and prepared the following table.

The following additional information is known.

- The sales amounts in the Apparel departments were the same for Delhi and Kolkata in 2018.
- The sales amounts in the Apparel departments were the same for Mumbai and Bengaluru in 2018. This sales amount matched the sales amount in the Apparel department for Delhi in 2019.
- The sales amounts in the HomeDecor departments were the same for Mumbai and Kolkata in 2018.
- The sum of the sales amounts of four Electronics departments increased by the same amount as the sum of the sales amounts of four Apparel departments from 2018 to 2019.
- The total sales amounts of the four HomeDecor departments increased by Rs 70 Crores from 2018 to 2019.
- The sales amounts in the HomeDecor departments of Delhi and Bengaluru each increased by Rs 20 Crores from 2018 to 2019.
- The sales amounts in the Apparel departments of Delhi and Bengaluru each increased by the same amount in 2019 from 2018. The sales amounts in the Apparel departments of Mumbai and Kolkata also each increased by the same amount in 2019 from 2018.
- The sales amounts in the Apparel departments of Delhi, Kolkata and Bengaluru in 2019 followed an Arithmetic

**CAT 2020 LRDI Slot 2 | DI - Tables & Graphs**

In HomeDecor departments of which cities were the sales amounts the highest in 2018 and 2019, respectively?

- A.
Delhi and Delhi

- B.
Mumbai and Mumbai

- C.
Bengaluru and Delhi

- D.
Mumbai and Delhi

Answer: Option A

**Explanation** :

**HomeDecor:**

The sales amounts in the Home Decor departments of Delhi and Bengaluru each increased by Rs 20 Crores from 2018 to 2019.

∴ Delhi (2018) = 100 – 20 = 80

Bengaluru (2018) = 80 – 20 = 60

The sales amounts in the Home Decor departments were the same for Mumbai and Kolkata in 2018.

Let Mumbai (2018) = Kolkata (2018) = a

∴ Data for Home Décor will be as follows

The total sales amounts of the four HomeDecor departments increased by Rs 70 Crores from 2018 to 2019.

∴ (80 + a + 60 + a) + 70 = (100 + 72 + 80 + 54)

⇒ 2a + 210 = 306

⇒ a = 48

**Apparels:**

The sales amounts in the Apparel departments were the same for Delhi and Kolkata in 2018.

Let Delhi (2018) = Kolkata (2018) = b

The sales amounts in the Apparel departments were the same for Mumbai and Bengaluru in 2018. This sales amount matched the sales amount in the Apparel department for Delhi in 2019.

Let Mumbai (2018) = Bengaluru (2018) = Delhi (2019) = c

The sales amounts in the Apparel departments of Delhi and Bengaluru each increased by the same amount in 2019 from 2018. The sales amounts in the Apparel departments of Mumbai and Kolkata also each increased by the same amount in 2019 from 2018.

∴ Bengaluru (2019) = c + (c – b) = 2c – b

Also, Mumbai (2019) = c + (54 - b) = c – b + 54

The sales amounts in the Apparel departments of Delhi, Kolkata and Bengaluru in 2019 followed an Arithmetic Progression.

∴ Delhi – Kolkata = Kolkata – Bengaluru

⇒ Delhi + Bengaluru = 2 × Kolkata

⇒ c + 2c – b = 2 × 54

3c – b = 108 …(1)

The sum of the sales amounts of four Electronics departments increased by the same amount as the sum of the sales amounts of four Apparel departments from 2018 to 2019.

From 2018 to 2019, total increase in apparels sales = Total increase in Electronics sales

∴ [c + (c – b + 54) + (2c - b) + 54] – [b + c + c + b] = [98 + 102 + 70 + 100] – [78 + 82 + 90 + 80]

⇒ [4c – 2b + 108] – [2b + 2c] = 370 – 330

⇒ c – 2b = -34 …(2)

Solving (1) and (2) we get,

b = 42 and c = 50 …(3)

∴ We can make the following table

For HomeDecor highest sales in 2018 as well as in 2019 was in Delhi.

Hence, option (a).

Workspace:

**CAT 2020 LRDI Slot 2 | DI - Tables & Graphs**

What was the increase in sales amount, in Crore Rupees, in the Apparel department of Mumbai from 2018 to 2019?

- A.
10

- B.
5

- C.
12

- D.
8

Answer: Option 12

**Explanation** :

Consider the solution to the first question of this set.

Increase in sales amount, in Crore Rupees, in the Apparel department of Mumbai from 2018 to 2019 = 62 – 50 = 12.

Hence, 12.

Workspace:

**CAT 2020 LRDI Slot 2 | DI - Tables & Graphs**

Among all the 12 departments (i.e., the 3 departments in each of the 4 cities), what was the maximum percentage increase in sales amount from 2018 to 2019?

- A.
25

- B.
50

- C.
28

- D.
75

Answer: Option B

**Explanation** :

Consider the solution to the first question of this set.

Maximum percentage increase in sales amount from 2018 to 2019 was in Mumbai HomeDecor = (72 - 48)/48 × 100 = 50%

Hence, option (b).

Workspace:

**CAT 2020 LRDI Slot 2 | DI - Tables & Graphs**

What was the total sales amount, in Crore Rupees, in 2019 for the chain of departmental stores?

- A.
900

- B.
150

- C.
750

- D.
600

Answer: Option A

**Explanation** :

Consider the solution to the first question of this set.

Total Sales from

Delhi = 50 + 98 + 100 = 248

Mumbai = 62 + 102 + 72 = 236

Bengaluru = 58 + 70 + 80 = 208

Kolkata = 54 + 100 + 54 = 208

Total sales amount, in Crore Rupees, in 2019 for the chain of departmental stores

= 248 + 236 + 208 + 208 = 900

Hence, option (a).

Workspace:

**Answer the next 4 questions based on the information given below.**

In an election several candidates contested for a constituency. In any constituency, the winning candidate was the one who polled the highest number of votes, the first runner up was the one who polled the second highest number of votes, the second runner up was the one who polled the third highest number of votes, and so on. There were no ties (in terms of number of votes polled by the candidates) in any of the constituencies in this election.

In an electoral system, a security deposit is the sum of money that a candidate is required to pay to the election commission before he or she is permitted to contest. Only the defeated candidates (i.e., one who is not the winning candidate) who fail to secure more than one sixth of the valid votes polled in the constituency, lose their security deposits.

The following table provides some incomplete information about votes polled in four constituencies: A, B, C and D, in this election.

The following additional facts are known:

- The first runner up polled 10,000 more votes than the second runner up in constituency A.
- None of the candidates who contested in constituency C lost their security deposit. The difference in votes polled by any pair of candidates in this constituency was at least 10,000.
- The winning candidate in constituency D polled 5% of valid votes more than that of the first runner up. All the candidates who lost their security deposits while contesting for this constituency, put together, polled 35% of the valid votes.

**CAT 2020 LRDI Slot 2 | DI - Tables & Graphs**

What is the percentage of votes polled in total by all the candidates who lost their security deposits while contesting for constituency A?

Answer: 9

**Explanation** :

The first runner up polled 10,000 more votes than the second runner up in constituency A.

⇒ Votes polled by the second runner-up = 95,000 – 10,000 = 85,000

∴ Total number of votes polled by the top three candidates in A = 2,75,000 + 95,000 + 85,000 = 4,55,000.

Votes polled by remaining 7 candidates = 5,00,000 – 4,55,000 = 45,000 (This is less than one-sixth of the total votes polled)

⇒ Each of the remaining gets polled less than one-sixth of the total polls in A.

∴ Last 7 candidates lose their security deposits and they polled a total of 45,000 votes.

⇒ Percentage of votes polled in total by all the candidates who lost their security deposits while contesting for constituency A = 45000/500000 × 100 = 9%

Hence, 9.

Workspace:

**CAT 2020 LRDI Slot 2 | DI - Tables & Graphs**

How many candidates who contested in constituency B lost their security deposit?

Answer: 11

**Explanation** :

Total valid votes polled in B = 3,25,000

One-sixth of this is 54,167.

Since winner itself polled less than one-sixth votes, other candidates must have polled less than one-sixth of total votes.

∴ Every candidate except the winner will lose their security deposit. (one-sixth doesn’t apply for the winner)

∴ 12 – 2 = 11 candidates from B will lose their security deposit.

Hence, 11.

Workspace:

**CAT 2020 LRDI Slot 2 | DI - Tables & Graphs**

What BEST can be concluded about the number of votes polled by the winning candidate in constituency C?

- A.
1,40,006

- B.
between 1,40,005 and 1,40,010

- C.
1,40,010

- D.
less than 2,00,010

Answer: Option A

**Explanation** :

None of the candidates who contested in constituency C lost their security deposit. The difference in votes polled by any pair of candidates in this constituency was at least 10,000.

Total votes polled in C is 6,00,030.

∴ The last candidate (C_{5}) received more than one-sixth of 6,00,030.

Minimum votes polled by

C_{5} = 1,00,006

C_{4} = 1,10,006

C_{3} = 1,20,006

C_{2} = 1,30,006

C_{1} = 1,40,006

Once we add all these minimum votes polled, the sum is 6,00,030.

∴ Votes polled by the winner is 1,40,006.

Hence, option (a).

Workspace:

**CAT 2020 LRDI Slot 2 | DI - Tables & Graphs**

What was the number of valid votes polled in constituency D?

- A.
1,75,000

- B.
1,25,000

- C.
1,50,000

- D.
62,500

Answer: Option A

**Explanation** :

Let total valid votes polled in D = 100x

The winning candidate in constituency D polled 5% of valid votes more than that of the first runner up. All the candidates who lost their security deposits while contesting for this constituency, put together, polled 35% of the valid votes.

Votes polled by the first runner up = 37,500

Votes polled by the winner = 37,500 + 5x

Votes polled by the third runner up is 10% of valid votes which is less than one-sixth of valid votes. Hence third runner up will lose the security deposit.

Now for the second runner up to lose the security deposit total valid votes to be polled must be greater than 6 × 30,000 = 1,80,000.

Since all the options are less than 1,80,000, we can be sure than second runner up did not lose the security deposit.

Hence, number of candidates losing security deposit = 8 – 3 = 5. These 5 candidates get 35% of the total valid votes.

⇒ Winner, first runner-up and second runner-up polled 65% of the valid votes.

⇒ 37,500 + 5x + 37,500 + 30,000 = 65% of 100x.

⇒ 1,05,000 = 60x

⇒ x = 1750

∴ Total valid votes in D = 100x = 1,75,000

Hence, option (a).

Workspace:

**CAT 2020 LRDI Slot 2 | DI - Tables & Graphs**

The winning margin of a constituency is defined as the difference of votes polled by the winner and that of the first runner up. Which of the following CANNOT be the list of constituencies, in increasing order of winning margin?

- A.
B, C, D, A

- B.
D, B, C, A

- C.
D, C, B, A

- D.
B, D, C, A

Answer: Option A

**Explanation** :

Winning margin for

A = 2,75,000 – 95,000 = 1,80,000

C = 1,40,006 - 1,30,006 = 10,000

D = 5% of valid votes = 8,750

⇒ Winning margin for C is greater than that of D.

∴ Option (a) cannot be the list of constituencies, in increasing order of winning margin.

Hence, option (a).

Workspace:

## Feedback