# Data Interpretation for CAT: Concepts, Formulae, Sample Questions PDF

By Shubhra Anand Jain|Updated : April 27th, 2022

Data Interpretation for CAT is a difficult section as it has no fixed syllabus. This section tests the candidate's speed, the capability to make decisions, and interpretation of data. DI for CAT is considered as one of the lengthy sections, and the candidates must a good preparation to ace this section accurately and easily.

The candidates can expect 20 questions from DI for CAT, which are really time-consuming and critical if not prepared well. The candidates must follow a strategic preparation plan to score well in this section. In this article, BYJU’S Exam Prep experts have made a detailed study to help to learn more about How to Prepare Data Interpretation for CAT for the upcoming exam?

## Data Interpretation for CAT Concepts

DI for CAT is designed to test the candidates of their capability of solving logic-based questions and interpreting sets of data. Data Interpretation for CAT consists of tables and charts, and the candidates have to analyze the data as per the questions. As per previous years’ CAT Exam Analysis, the DI section is expected to be a tough section among all the three sections. Thus, we can say that the CAT Exam tests candidates for their ability to answer correctly to the questions with speed and accuracy.

## Topics to Cover in Data Interpretation for CAT

There is no official syllabus declared by the CAT authorities for the CAT exam. However, seeing the previous years' trend, we have listed below some topics that you must prepare well to crack the DI for CAT. Check the complete CAT Syllabus 2022 for your reference.

 Tables Line Chart Venn Diagram Pie Chart Scatter Plot Radar Chart Column Graph Bar Graph Routes and Network Radar Chart Bubble Chart Data Caselets - Reasoning Based DI

## Books to Prepare DI for CAT

There is an uncountable number of books available in the market (online and offline) for CAT Exam preparation. However, only a few of them are good and written by famous authors. For your reference, we have listed below some books for reference which will help you to prepare well for the Data Interpretation for CAT:

• How to Prepare for Data Interpretation for CAT by Arun Sharma
• Data Interpretation & Data Sufficiency by Sandeep Bajaj & Ananta Ashish

☛ Visit Best Books for Preparing CAT 2022 for more details on which books to refer to for the DI section.

## Data Interpretation Questions for CAT PDF

Click on the link below to get a PDF file for DI for CAT. Download it and save it to your device for practice.

## Sample Questions for Data Interpretation for CAT

Question 1: Six friends, A through F, bought shares of six companies, P to U on a particular day, say Day 1. Each friend bought shares of at least one of these companies and no friend had any share of any company before that day. On the very next day, say Day 2, all of them sold all the shares that they had bought on Day 1. Shares are always bought or sold on their respective market values. The market values (in ₹) of 1 share of each of the companies, P through U, in that order, were 1200, 1400, 1000, 1500, 1300, and 900 on Day 1. On Day 2, the market values (in ₹) of 1 share of each of the companies were 900, 1500, 1300, 1000, 1200, and 1400 respectively. Further, it was also known that:

(i) No friend paid any additional charge (brokerage, etc.) in buying or selling shares.

(ii) Each friend bought a different number of shares and no one of them bought more than 6 shares.

(iii) No two friends bought shares of the same company.

(iv) All the questions below aboutg to the transactions and the period mentioned above.

a) If the six friends together suffered a loss of ₹ 3500 then how many shares of company R were bought by any of the friends?

• A) 3
• B) 4
• C) 2
• D) 6

b) Which of the following outcomes is not possible for the six friends?

1. A) They together suffered a loss of Rs 700
2. B) They together gained a profit of Rs 900
3. C) They together gained a profit of Rs 3500
4. D) They together neither suffered any loss nor gained any profit

c) If D earned a profit of ₹ 1500 and B suffered a loss ₹ 900 then which of the following can be true?

1. A) A suffered a loss of Rs 300
2. B) C earned a profit of Rs 2500
3. C) F suffered a loss of Rs 1800
4. D) None of the above

Solutions:

a)

From the given point (ii) we can find out the maximum profit/loss by all the friends together. For maximum profit, we can assign a maximum no. of shares to the company giving maximum return, and likewise, we can assign the shares to every company.

For maximum loss, we can assign a maximum no. of shares to the company giving minimum return, and likewise, we can assign the shares to every company.

 P Q R S T U Day 1 1200 1400 1000 1500 1300 900 Day 2 900 1500 1300 1000 1200 1400 Profit/Loss on One Share -300 100 300 -500 -100 500 No. of Shares for Maximum Profit 2 4 5 1 3 6 No of shares for Maximum Loss 5 3 2 6 4 1

Maximum Profit: (-300*2) + (100*4) + (300*5) + (-500*1) + (-100*3) + (500*6) = 3500

Maximum Loss: (-300*5) + (100*3) + (300*2) + (-500*6) + (-100*4) + (500*1) = 3500

Therefore if six friends together face a loss of 3500 then the number of shares of company R bought by any of the friends is 2.

The correct answer is option C.

b) From the given point (ii) we can find out the maximum profit/loss by all the friends together. For maximum profit, we can assign a maximum no. of shares to the company giving maximum return, and likewise, we can assign the shares to every company.

For maximum loss, we can assign a maximum no. of shares to the company giving minimum return, and likewise, we can assign the shares to every company.

 P Q R S T U Day 1 1200 1400 1000 1500 1300 900 Day 2 900 1500 1300 1000 1200 1400 Profit/Loss on One Share -300 100 300 -500 -100 500 No. of Shares for Maximum Profit 2 4 5 1 3 6 No of shares for Maximum Loss 5 3 2 6 4 1

Maximum Profit: (-300*2) + (100*4) + (300*5) + (-500*1) + (-100*3) + (500*6) = 3500

Maximum Loss: (-300*5) + (100*3) + (300*2) + (-500*6) + (-100*4) + (500*1) = 3500

Since the condition (ii) and (iii) prohibits the purchase of same number of shares by two persons and there are only 3 values with both the positive and negative numbers, therefore, in this case, it is not possible that six friends together neither suffer any loss nor gain any profit. We can also verify it by using the elimination method:

One of the ways in which Option 1 is possible is:

 P Q R S T U Profit/Loss on One Share -300 100 300 -500 -100 500 No. of shares Purchased 6 2 5 4 1 3

One of how Option 2 is possible is:

 P Q R S T U Profit/Loss on One Share -300 100 300 -500 -100 500 No. of shares Purchased 3 6 4 1 5 2

Option C is the maximum profit they can make together is 3500 as proved in the Common.

Hence, the correct option is D.

c) From the given point (ii) we can find out the maximum profit/loss by all the friends together. For maximum profit, we can assign a maximum no. of shares to the company giving maximum return, and likewise, we can assign the shares to every company.

For maximum loss, we can assign a maximum no. of shares to the company giving minimum return, and likewise, we can assign the shares to every company.

 P Q R S T U Day 1 1200 1400 1000 1500 1300 900 Day 2 900 1500 1300 1000 1200 1400 Profit/Loss on One Share -300 100 300 -500 -100 500 No. of Shares for Maximum Profit 2 4 5 1 3 6 No of shares for Maximum Loss 5 3 2 6 4 1

Maximum Profit: (-300*2) + (100*4) + (300*5) + (-500*1) + (-100*3) + (500*6) = 3500

Maximum Loss: (-300*5) + (100*3) + (300*2) + (-500*6) + (-100*4) + (500*1) = 3500

 P Q R S T U Day 1 1200 1400 1000 1500 1300 900 Day 2 900 1500 1300 1000 1200 1400 Profit/Loss on One Share -300 100 300 -500 -100 500

In the above generated table B can suffer a loss of Rs.900 only when he purchases 3 shares of company P. On the other hand, D can only earn a profit of Rs.1500 when it either purchases 3 shares of company U or 5 shares of company R. Since, 3 shares have already been purchased by B and according to the given condition (ii) we can say that D purchased 5 shares of company R.

On the basis of the elimination method,

• Option 1 is not possible as one can suffer a loss of Rs.300 only when it buys 3 shares of company T but according to condition (ii), it is not possible.
• Option 2 is not possible as one can earn a profit of Rs.2500 only when it buys 5 shares of company U but according to condition (ii), it is not possible.
• Option 3 is not possible as one can suffer a loss of Rs.1800 only when it buys 6 shares of company P but according to condition (iii), it is not possible.

Therefore, the option None of the above is correct.

Answer: The correct answer is option D.

Question 2: These questions are based on the data given below.

In a recently held test series consisting of three matches-I, II, and III, five players- Sehwag, Ganguly, Tendulkar, Dravid, and Laxman are the top five scoring batsmen, not necessarily in the same order.

(i) No two players scored the same number of runs in any match

(ii) Sehwag scored more runs than Ganguly in the 1st and 2nd matches.

(iii) The player who scored the highest runs in the 3rd match scored the least runs in the 1st match.

(iv) Dravid scored more runs than Laxman but fewer runs than Tendulkar in the 2nd Match. Tendulkar scored more runs than Laxman in the 1st match. Laxman scored more runs than Ganguly but less than Dravid in the 3rd match.

(v) Tendulkar scored the lowest runs in one match and his rank continuously declined from the first match to the third match. He was not the top scorer in any of the three matches.

a) Among the given five players, who scored the least number of runs in the 2nd match?

1. A) Sehwag
2. B) Ganguly
3. C) Laxman
D) Cannot be determined

b) Who is the second-highest scorer in the 1st match?

1. A) Sehwag
2. B) Laxman
3. C) David
4. D) None Of These

Solution:

a) Let us make a table as per the data given in the question:

 Rank 1 1 2 3 4 5 I Sh ST G/L L/G D II Sh G ST D L III D ST

Sh: Sehwag; G: Ganguly; ST; Sachi Tendulkar; L: Laxman; D: Dravid

From the table, we are clear that Laxman scored the least number of runs in the 2nd match.

b) Let us make a table as per the data given in the question:

 Rank 1 1 2 3 4 5 I Sh ST L/G G/L D II Sh G ST D L III D S ST

Sh: Sehwag; G: Ganguly; ST; Sachi Tendulkar; L: Laxman; D: Dravid

From the table, we can say that Tendulkar is the second-highest scorer in the 1st match

## Approach to Solve DI for CAT

The candidates must be very flexible and straightforward to solve Data Interpretation for CAT. Read all the sets first and try to understand the structure of the questions and select the right sets by the below-mentioned approaches.

Selection Sequence

Try to attempt the questions as per your competence level. Don’t hold the most difficult section for the last because it will create pressure on your mind at the last moment. Solve the easy section first and then follow up with the difficult section in Data Interpretation for CAT.

Reasoning

Never guesses the answers. Always try to find the rationale behind the DI for CAT. As per the expert opinion, never try all the questions. Data Interpretation for CAT is attempted last by most of the candidates. Do not take chance and do not think that the solution will be obvious while trying the set.

## How to Prepare Data Interpretation for CAT: Expert Tips

The questions from the DI for CAT focus on a student's ability to derive conclusions from a given set of data. To have a better grip on the Data Interpretation for CAT, the candidates can follow the below-mentioned tips.

• Mental calculation is very important, so, candidates should focus on increasing their mental calculation speed. Tables at least up to 20 and basic calculations will give the confidence to solve Data Interpretation for CAT questions.
• Candidates should start solving puzzles, or Sudoku from mock question papers, study materials, and online websites.
• By solving questions from rankings, arrangements, and matrices, students should increase their accuracy level.
• It is beneficial to practice BYJU’S Exam Prep CAT Online Test Series for conceptual clarity and to improve accuracy and time management.
• In the DILR section do not rush and try to solve all the questions. Candidates should try to attempt a maximum number of questions but be focused on accurately.
• In the last week before the exam, the candidates should avoid learning any new topic.

## How to Improve Accuracy in DI for CAT

To improve accuracy in the Data Interpretation for CAT, you must follow the tips given below:

• You must practice lots and lots of questions so that you get habituated to them and find out a shorter way to solve questions.
• Time management is another such factor you need to keep in mind. Choosing the questions wisely will help you improve your score in the Data Interpretation for CAT.
 Other Important CAT Topics CAT Quant Questions CAT Critical Reasoning Questions Permutation and Combination Questions for CAT Algebra Questions for CAT Log CAT Questions Geometry Questions for CAT

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## CAT Data Interpretation FAQs

• As per expert analysis, Data Interpretation for CAT consists of tables and charts, and the candidates have to analyze the data as per the questions. It includes one question based on certain facts from which you have to answer 3-4 questions with different concepts.

• The candidates must practice mental calculation, as this will improve their calculation speed. Solve the questions from rankings, and matrices to increase your accuracy level. Attend BYJU’S Exam Prep Online Classes to study the concepts directly from the faculties.

• As per expert analysis, DI for CAT is a little more tricky than the other sections of this exam. The candidates must concentrate on their studies well to grab these questions perfectly. Note one thing if you practice well, then this is also a scoring section.

• Note the below points to get an idea of the important topics in Data Interpretation for CAT.

• Tables
• Charts (Pie, Venn, Rader)
• Graph (Bar, Bubble, Column)
• Venn Diagram
• As per the previous year’s analysis, the candidates can expect 20 Data Interpretation Questions for CAT to solve in the exam. These questions are a little time-consuming and you need good practice.

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