Data Interpretation Master PYQ Hub (DILR) Official Answer Keys

CAT Data Interpretation Previous Year Questions (PYQs)

All CAT DI caselets: Tables, Bar Charts, Scatter Plots, Spider Graphs, and Multi-source reasoning sets with step-by-step calculations. Official IIM questions with step-by-step verified explanations.

173 Total Questions
MCQ: 113 (+3 / -1)
TITA: 60 (0 Negative Penalty)
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Official Exam Questions & Explanations (25 of 173)

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Question 1 of 173
CAT 2025 Slot 2DILRData InterpretationBar GraphsModerate
Caselet / Problem Set Context~109 words
The following charts depict details of research papers written by four authors, Arman, Brajen, Chintan, and Devon. The papers were of four types, single-author, two-author, three-author, and four-author, that is, written by one, two, three, or all four of these authors, respectively. No other authors were involved in writing these papers.
The following additional facts are known.
1
Each of the authors wrote at least one of each of the four types of papers.
2
The four authors wrote different numbers of single-author papers.
3
Both Chintan and Devon wrote more three-author papers than Brajen.
4
The number of single-author and two-author papers written by Brajen were the same.
What was the total number of two-author and three-author papers written by Brajen?
TITA Answer:
Question 2 of 173
CAT 2025 Slot 2DILRData InterpretationBar GraphsModerate
Caselet / Problem Set Context~109 words
The following charts depict details of research papers written by four authors, Arman, Brajen, Chintan, and Devon. The papers were of four types, single-author, two-author, three-author, and four-author, that is, written by one, two, three, or all four of these authors, respectively. No other authors were involved in writing these papers.
The following additional facts are known.
1
Each of the authors wrote at least one of each of the four types of papers.
2
The four authors wrote different numbers of single-author papers.
3
Both Chintan and Devon wrote more three-author papers than Brajen.
4
The number of single-author and two-author papers written by Brajen were the same.
Which of the following statements is/are NECESSARILY true?
i
Chintan wrote exactly three two-author papers.
ii
Chintan wrote more single-author papers than Devon.
Question 3 of 173
CAT 2025 Slot 2DILRData InterpretationBar GraphsModerate
Caselet / Problem Set Context~109 words
The following charts depict details of research papers written by four authors, Arman, Brajen, Chintan, and Devon. The papers were of four types, single-author, two-author, three-author, and four-author, that is, written by one, two, three, or all four of these authors, respectively. No other authors were involved in writing these papers.
The following additional facts are known.
1
Each of the authors wrote at least one of each of the four types of papers.
2
The four authors wrote different numbers of single-author papers.
3
Both Chintan and Devon wrote more three-author papers than Brajen.
4
The number of single-author and two-author papers written by Brajen were the same.
Which of the following statements is/are NECESSARILY true?
i
Arman wrote three-author papers only with Chintan and Devon.
ii
Brajen wrote three-author papers only with Chintan and Devon.
Question 4 of 173
CAT 2025 Slot 2DILRData InterpretationBar GraphsModerate
Caselet / Problem Set Context~109 words
The following charts depict details of research papers written by four authors, Arman, Brajen, Chintan, and Devon. The papers were of four types, single-author, two-author, three-author, and four-author, that is, written by one, two, three, or all four of these authors, respectively. No other authors were involved in writing these papers.
The following additional facts are known.
1
Each of the authors wrote at least one of each of the four types of papers.
2
The four authors wrote different numbers of single-author papers.
3
Both Chintan and Devon wrote more three-author papers than Brajen.
4
The number of single-author and two-author papers written by Brajen were the same.
If Devon wrote more than one two-author papers, then how many two-author papers did Chintan write?
TITA Answer:
Question 5 of 173
CAT 2025 Slot 2DILRData InterpretationScatter PlotHard
Caselet / Problem Set Context~176 words
The Sustainability Index (SI) of a country at a point in time is an integer between 1 and 100. This question is related to SI of six countries - A, B, C, D, E, and F - at three different points in time - 2016, 2020, and 2024. The plot represents the exact changes in their SI, with X-coordinate representing % increase in 2020 from 2016, i.e., (SI in 2020 minus SI in 2016) / (SI in 2016), and Y-coordinate representing % increase in 2024 from 2020. At any point in time, the country with highest SI is ranked 1, while the country with the lowest SI is ranked 6. The following additional facts are known.
1
In 2016, B, C, E, and A had ranks 1, 2, 3, and 4 respectively.
2
F had lower SI than any other country in 2016, 2020, and 2024.
3
In 2024, E was the only country with SI of 90.
4
The range of SI of the six countries was 60 in 2016 as well as in 2024.
What was the SI of E in 2016?
TITA Answer:
Question 6 of 173
CAT 2025 Slot 2DILRData InterpretationScatter PlotHard
Caselet / Problem Set Context~176 words
The Sustainability Index (SI) of a country at a point in time is an integer between 1 and 100. This question is related to SI of six countries - A, B, C, D, E, and F - at three different points in time - 2016, 2020, and 2024. The plot represents the exact changes in their SI, with X-coordinate representing % increase in 2020 from 2016, i.e., (SI in 2020 minus SI in 2016) / (SI in 2016), and Y-coordinate representing % increase in 2024 from 2020. At any point in time, the country with highest SI is ranked 1, while the country with the lowest SI is ranked 6. The following additional facts are known.
1
In 2016, B, C, E, and A had ranks 1, 2, 3, and 4 respectively.
2
F had lower SI than any other country in 2016, 2020, and 2024.
3
In 2024, E was the only country with SI of 90.
4
The range of SI of the six countries was 60 in 2016 as well as in 2024.
What was the SI of F in 2020?
TITA Answer:
Question 7 of 173
CAT 2025 Slot 2DILRData InterpretationScatter PlotHard
Caselet / Problem Set Context~176 words
The Sustainability Index (SI) of a country at a point in time is an integer between 1 and 100. This question is related to SI of six countries - A, B, C, D, E, and F - at three different points in time - 2016, 2020, and 2024. The plot represents the exact changes in their SI, with X-coordinate representing % increase in 2020 from 2016, i.e., (SI in 2020 minus SI in 2016) / (SI in 2016), and Y-coordinate representing % increase in 2024 from 2020. At any point in time, the country with highest SI is ranked 1, while the country with the lowest SI is ranked 6. The following additional facts are known.
1
In 2016, B, C, E, and A had ranks 1, 2, 3, and 4 respectively.
2
F had lower SI than any other country in 2016, 2020, and 2024.
3
In 2024, E was the only country with SI of 90.
4
The range of SI of the six countries was 60 in 2016 as well as in 2024.
What was the SI of C in 2024?
TITA Answer:
Question 8 of 173
CAT 2025 Slot 2DILRData InterpretationScatter PlotHard
Caselet / Problem Set Context~176 words
The Sustainability Index (SI) of a country at a point in time is an integer between 1 and 100. This question is related to SI of six countries - A, B, C, D, E, and F - at three different points in time - 2016, 2020, and 2024. The plot represents the exact changes in their SI, with X-coordinate representing % increase in 2020 from 2016, i.e., (SI in 2020 minus SI in 2016) / (SI in 2016), and Y-coordinate representing % increase in 2024 from 2020. At any point in time, the country with highest SI is ranked 1, while the country with the lowest SI is ranked 6. The following additional facts are known.
1
In 2016, B, C, E, and A had ranks 1, 2, 3, and 4 respectively.
2
F had lower SI than any other country in 2016, 2020, and 2024.
3
In 2024, E was the only country with SI of 90.
4
The range of SI of the six countries was 60 in 2016 as well as in 2024.
What was the SI of B in 2024?
Question 9 of 173
CAT 2025 Slot 1DILRData InterpretationOther ChartsModerate
Caselet / Problem Set Context~173 words
Five countries engage in trade with each other. Each country levies import tariffs on the other countries. The import tariff levied by Country X on Country Y is calculated by multiplying the corresponding tariff percentage with the total imports of Country X from Country Y. The radar chart below depicts different import tariff percentages charged by each of the five countries on the others. For example, US (the blue line in the chart) charges 20%, 40%, 30%, and 30% import tariff percentages on imports from France, India, Japan, and UK, respectively. The bar chart depicts the import tariffs levied by each county on other countries. For example, US charged import tariff of 3 billion USD on UK.
Assume that imports from one country to another equals the exports from the latter to the former. The trade surplus of Country X with Country Y is defined as follows. Trade surplus = Exports from Country X to Country Y – Imports to Country X from Country Y. A negative trade surplus is called trade deficit.3a
How much is Japan's export to India worth?
Question 10 of 173
CAT 2025 Slot 1DILRData InterpretationOther ChartsModerate
Caselet / Problem Set Context~173 words
Five countries engage in trade with each other. Each country levies import tariffs on the other countries. The import tariff levied by Country X on Country Y is calculated by multiplying the corresponding tariff percentage with the total imports of Country X from Country Y. The radar chart below depicts different import tariff percentages charged by each of the five countries on the others. For example, US (the blue line in the chart) charges 20%, 40%, 30%, and 30% import tariff percentages on imports from France, India, Japan, and UK, respectively. The bar chart depicts the import tariffs levied by each county on other countries. For example, US charged import tariff of 3 billion USD on UK.
Assume that imports from one country to another equals the exports from the latter to the former. The trade surplus of Country X with Country Y is defined as follows. Trade surplus = Exports from Country X to Country Y – Imports to Country X from Country Y. A negative trade surplus is called trade deficit.3b
Which among the following is the highest?
Question 11 of 173
CAT 2025 Slot 1DILRData InterpretationOther ChartsModerate
Caselet / Problem Set Context~173 words
Five countries engage in trade with each other. Each country levies import tariffs on the other countries. The import tariff levied by Country X on Country Y is calculated by multiplying the corresponding tariff percentage with the total imports of Country X from Country Y. The radar chart below depicts different import tariff percentages charged by each of the five countries on the others. For example, US (the blue line in the chart) charges 20%, 40%, 30%, and 30% import tariff percentages on imports from France, India, Japan, and UK, respectively. The bar chart depicts the import tariffs levied by each county on other countries. For example, US charged import tariff of 3 billion USD on UK.
Assume that imports from one country to another equals the exports from the latter to the former. The trade surplus of Country X with Country Y is defined as follows. Trade surplus = Exports from Country X to Country Y – Imports to Country X from Country Y. A negative trade surplus is called trade deficit.3c
What is the trade surplus/trade deficit of India with UK?
Question 12 of 173
CAT 2025 Slot 1DILRData InterpretationOther ChartsModerate
Caselet / Problem Set Context~173 words
Five countries engage in trade with each other. Each country levies import tariffs on the other countries. The import tariff levied by Country X on Country Y is calculated by multiplying the corresponding tariff percentage with the total imports of Country X from Country Y. The radar chart below depicts different import tariff percentages charged by each of the five countries on the others. For example, US (the blue line in the chart) charges 20%, 40%, 30%, and 30% import tariff percentages on imports from France, India, Japan, and UK, respectively. The bar chart depicts the import tariffs levied by each county on other countries. For example, US charged import tariff of 3 billion USD on UK.
Assume that imports from one country to another equals the exports from the latter to the former. The trade surplus of Country X with Country Y is defined as follows. Trade surplus = Exports from Country X to Country Y – Imports to Country X from Country Y. A negative trade surplus is called trade deficit.3d
Among France and UK, who has/have trade surplus(es) with US?
Question 13 of 173
CAT 2025 Slot 3DILRData InterpretationOther ChartsModerate
Caselet / Problem Set Context~132 words
Anirbid, Chandranath, Koushik, and Suranjan participated in a puzzle solving competition. The competition comprised 10 puzzles that had to be solved in the same sequence, i.e., a competitor got access to a puzzle as soon as they solved the previous puzzle. Some of the puzzles were visual puzzles and the others were number-based puzzles. The winner of the competition was the one who solved all puzzles in the least time. The following charts describe their progress in the competition. The chart on the left shows the number of puzzles solved by each competitor at a given time (in minutes) after the start of the competition. The chart on the right shows the number of visual puzzles solved by each competitor at a given time (in minutes) after the start of the competition.
Who had solved the largest number of puzzles by the 20-th minute from the start of the competition?
Question 14 of 173
CAT 2025 Slot 3DILRData InterpretationOther ChartsModerate
Caselet / Problem Set Context~132 words
Anirbid, Chandranath, Koushik, and Suranjan participated in a puzzle solving competition. The competition comprised 10 puzzles that had to be solved in the same sequence, i.e., a competitor got access to a puzzle as soon as they solved the previous puzzle. Some of the puzzles were visual puzzles and the others were number-based puzzles. The winner of the competition was the one who solved all puzzles in the least time. The following charts describe their progress in the competition. The chart on the left shows the number of puzzles solved by each competitor at a given time (in minutes) after the start of the competition. The chart on the right shows the number of visual puzzles solved by each competitor at a given time (in minutes) after the start of the competition.
How many minutes did Suranjan take to solve the third visual puzzle in the competition?
TITA Answer:
Question 15 of 173
CAT 2025 Slot 3DILRData InterpretationOther ChartsModerate
Caselet / Problem Set Context~132 words
Anirbid, Chandranath, Koushik, and Suranjan participated in a puzzle solving competition. The competition comprised 10 puzzles that had to be solved in the same sequence, i.e., a competitor got access to a puzzle as soon as they solved the previous puzzle. Some of the puzzles were visual puzzles and the others were number-based puzzles. The winner of the competition was the one who solved all puzzles in the least time. The following charts describe their progress in the competition. The chart on the left shows the number of puzzles solved by each competitor at a given time (in minutes) after the start of the competition. The chart on the right shows the number of visual puzzles solved by each competitor at a given time (in minutes) after the start of the competition.
At what number in the sequence was the fourth number-based puzzle?
TITA Answer:
Question 16 of 173
CAT 2025 Slot 3DILRData InterpretationOther ChartsModerate
Caselet / Problem Set Context~132 words
Anirbid, Chandranath, Koushik, and Suranjan participated in a puzzle solving competition. The competition comprised 10 puzzles that had to be solved in the same sequence, i.e., a competitor got access to a puzzle as soon as they solved the previous puzzle. Some of the puzzles were visual puzzles and the others were number-based puzzles. The winner of the competition was the one who solved all puzzles in the least time. The following charts describe their progress in the competition. The chart on the left shows the number of puzzles solved by each competitor at a given time (in minutes) after the start of the competition. The chart on the right shows the number of visual puzzles solved by each competitor at a given time (in minutes) after the start of the competition.
Which of the following is the closest to the average time taken by Anirbid to solve the number-based puzzles in the competition?
Question 17 of 173
CAT 2024 Slot 1DILRData InterpretationVenn DiagramsModerate
Caselet / Problem Set Context~137 words
The chart below provides complete information about the number of countries visited by Dheeraj, Samantha and Nitesh, in Asia, Europe and the rest of the world (ROW).
The following additional facts are known about the countries visited by them.
  1. 32 countries were visited by at least one of them.
  2. USA (in ROW) is the only country that was visited by all three of them.
  3. China (in Asia) is the only country that was visited by both Dheeraj and Nitesh, but not by Samantha.
  4. France (in Europe) is the only country outside Asia, which was visited by both Dheeraj and Samantha, but not by Nitesh.
  5. Half of the countries visited by both Samantha and Nitesh are in Europe.
How many countries in Asia were visited by at least one of Dheeraj, Samantha and Nitesh?
TITA Answer:
Question 18 of 173
CAT 2024 Slot 1DILRData InterpretationVenn DiagramsModerate
Caselet / Problem Set Context~137 words
The chart below provides complete information about the number of countries visited by Dheeraj, Samantha and Nitesh, in Asia, Europe and the rest of the world (ROW).
The following additional facts are known about the countries visited by them.
  1. 32 countries were visited by at least one of them.
  2. USA (in ROW) is the only country that was visited by all three of them.
  3. China (in Asia) is the only country that was visited by both Dheeraj and Nitesh, but not by Samantha.
  4. France (in Europe) is the only country outside Asia, which was visited by both Dheeraj and Samantha, but not by Nitesh.
  5. Half of the countries visited by both Samantha and Nitesh are in Europe.
How many countries in Europe were visited only by Nitesh?
TITA Answer:
Question 19 of 173
CAT 2024 Slot 1DILRData InterpretationVenn DiagramsModerate
Caselet / Problem Set Context~137 words
The chart below provides complete information about the number of countries visited by Dheeraj, Samantha and Nitesh, in Asia, Europe and the rest of the world (ROW).
The following additional facts are known about the countries visited by them.
  1. 32 countries were visited by at least one of them.
  2. USA (in ROW) is the only country that was visited by all three of them.
  3. China (in Asia) is the only country that was visited by both Dheeraj and Nitesh, but not by Samantha.
  4. France (in Europe) is the only country outside Asia, which was visited by both Dheeraj and Samantha, but not by Nitesh.
  5. Half of the countries visited by both Samantha and Nitesh are in Europe.
How many countries in the ROW were visited by both Nitesh and Samantha?
TITA Answer:
Question 20 of 173
CAT 2024 Slot 1DILRData InterpretationVenn DiagramsModerate
Caselet / Problem Set Context~137 words
The chart below provides complete information about the number of countries visited by Dheeraj, Samantha and Nitesh, in Asia, Europe and the rest of the world (ROW).
The following additional facts are known about the countries visited by them.
  1. 32 countries were visited by at least one of them.
  2. USA (in ROW) is the only country that was visited by all three of them.
  3. China (in Asia) is the only country that was visited by both Dheeraj and Nitesh, but not by Samantha.
  4. France (in Europe) is the only country outside Asia, which was visited by both Dheeraj and Samantha, but not by Nitesh.
  5. Half of the countries visited by both Samantha and Nitesh are in Europe.
How many countries in Europe were visited by exactly one of Dheeraj, Samantha and Nitesh?
Question 21 of 173
CAT 2024 Slot 1DILRData InterpretationOther ChartsEasy
Caselet / Problem Set Context~84 words
The chart below shows the price data for seven shares- A,B,C,D,E,F, and G as a candlestick plot for a particular day. The vertical axis shows the price of the share in rupees. A share whose closing price (price at the end of the day) is more than its opening price (price at the start of the day) is called a bullish share; otherwise, it is called a bearish share. All bullish and bearish shares are shown in green and red colour respectively.
Daily Share Price Variability (SPV) is defined as (Day's high price - Day's low price) /(Average of the opening and closing prices during the day). Which among the shares A, C, D and F had the highest SPV on that day?
Question 22 of 173
CAT 2024 Slot 1DILRData InterpretationOther ChartsEasy
Caselet / Problem Set Context~84 words
The chart below shows the price data for seven shares- A,B,C,D,E,F, and G as a candlestick plot for a particular day. The vertical axis shows the price of the share in rupees. A share whose closing price (price at the end of the day) is more than its opening price (price at the start of the day) is called a bullish share; otherwise, it is called a bearish share. All bullish and bearish shares are shown in green and red colour respectively.
Daily Share Price Variability (SPV) is defined as (Day's high price - Day's low price) /(Average of the opening and closing prices during the day). How many shares had an SPV greater than 0.5 on that day?
TITA Answer:
Question 23 of 173
CAT 2024 Slot 1DILRData InterpretationOther ChartsEasy
Caselet / Problem Set Context~84 words
The chart below shows the price data for seven shares- A,B,C,D,E,F, and G as a candlestick plot for a particular day. The vertical axis shows the price of the share in rupees. A share whose closing price (price at the end of the day) is more than its opening price (price at the start of the day) is called a bullish share; otherwise, it is called a bearish share. All bullish and bearish shares are shown in green and red colour respectively.
Daily loss for a share is defined as (Opening price - Closing price) / (Opening price). Which among the shares A, B, F and G had the highest daily loss on that day?
Question 24 of 173
CAT 2024 Slot 1DILRData InterpretationOther ChartsEasy
Caselet / Problem Set Context~84 words
The chart below shows the price data for seven shares- A,B,C,D,E,F, and G as a candlestick plot for a particular day. The vertical axis shows the price of the share in rupees. A share whose closing price (price at the end of the day) is more than its opening price (price at the start of the day) is called a bullish share; otherwise, it is called a bearish share. All bullish and bearish shares are shown in green and red colour respectively.
What would have been the percentage wealth gain for a trader, who bought equal numbers of all bullish shares at opening price and sold them at their day’s high?
Question 25 of 173
CAT 2024 Slot 1DILRData InterpretationBar GraphsEasy
Caselet / Problem Set Context~138 words
Six web surfers M, N, O, P, X, and Y each had 30 stars which they distributed among four bloggers A, B, C, and D. The number of stars received by A and B from the six web surfers is shown in the figure below.
The following additional facts are known regarding the number of stars received by the bloggers from the surfers.
1. The numbers of stars received by the bloggers from the surfers were all multiples of 5 (including 0).
2. The total numbers of stars received by the bloggers were the same.
3. Each blogger received a different number of stars from M.
4. Two surfers gave all their stars to a single blogger. 5. D received more stars than C from Y.
What was the total number of stars received by D?
TITA Answer:

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