25+ CAT DILR Questions with Solutions Practice Data Interpretation & Logical Reasoning

Overview: Practicing CAT DILR questions can help you achieve a good percentile in the CAT exam. Read on to find 25+ important DILR questions to improve your preparation!

The Data Interpretation and Logical Reasoning (DI LR) section tests your ability to analyse data, recognise patterns, and solve complex problems using logic and reasoning.

• Total Questions: Approximately 20-22 questions (varies slightly each year)
• Time Duration: 40 minutes
• Question Types: Combination of Multiple Choice Questions (MCQS) and Type in the Answer (TITA) questions
• Difficulty Level: Moderate to High
• This section is typically divided into two parts:
  • Data Interpretation (DI): Involves charts, graphs, tables, and data sets that require analysis and calculations.
  • Logical Reasoning (LR): Tests your ability to solve puzzles, arrangements, blood relations, and other logical constructs.

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Continue reading to practice 25+ CAT DILR questions here!

Read More: How to Prepare for Data Interpretation for CAT Exam

25+ Important DILR Questions for CAT 2025

Here are some of the DILR CAT questions that you can practice to improve your speed and accuracy:

Easy Level CAT DILR Questions 2025

Q1. Five friends P, Q, R, S, and T are sitting in a row. P is to the left of Q and right of T. Who is sitting in the middle?
A) P
B) T
C) Q
D) R
Answer: C

Q2. If 3 pens and 2 pencils cost ₹26, and 2 pens and 3 pencils cost ₹24, what is the cost of 1 pen?
A) ₹5
B) ₹6
C) ₹7
D) ₹8
Answer: B

Q3. A man completes 1 round of a circular track in 10 minutes. How many rounds will he complete in 1 hour?
A) 5
B) 7
C) 6
D) 6
Answer: D

Q4. If A works twice as fast as B, and B finishes a task in 12 days, how many days will A take?
A) 6
B) 10
C) 9
D) 8
Answer: A

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Q5. Which diagram represents "Some books are novels and some novels are comics"?
A) Three disjoint circles
B) Three intersecting circles
C) Two overlapping circles
D) None of these
Answer: B

Medium Level CAT DILR Questions 2025

Q6. In a family of six members P, Q, R, S, T, and U, there are two married couples. T is a teacher and is married to Q. R is the son of Q and is a lawyer. S is the daughter of T. U is the grandfather of R. Who is P?
A) Son
B) Grandmother
C) Mother
D) Sister
Answer: C

Q7. A, B, and C can complete a task in 12, 15, and 20 days, respectively. If they start together and work for 2 days, who should continue to finish the task in the least time?
A) A
B) C
C) A & B
D) B
Answer: D

Q8. The ratio of the present ages of A and B is 4:5. After 5 years, the ratio becomes 5:6. What is B's current age?
A) 25
B) 30
C) 35
D) 40
Answer: B

Check: Logical Reasoning Questions for CAT

Q9. A train 240 meters long crosses a pole in 24 seconds. What is the speed of the train?
A) 36 km/h
B) 40 km/h
C) 48 km/h
D) 50 km/h
Answer: A

Q10. If 20% of a number is equal to 2/5 of another number, what is the ratio between the first and second numbers?
A) 2:5
B) 4:3
C) 2:1
D) 1:2
Answer: C

Difficult Level CAT DILR Questions 2025

Q11. A, B, C, D, and E sit around a circular table. A is next to B but not C. C is opposite D. Who sits between B and D?
A) A
B) E
C) C
D) B
Answer: D

Q12. If the population of a town increases by 20% every year, what will be the population after 2 years if the current population is 10000?
A) 12000
B) 14400
C) 12400
D) 13000
Answer: B

Q13. A and B start a business by investing ₹40000 and ₹50000 respectively. After 4 months, A withdraws ₹10000. At the end of the year, what is A’s share in a ₹22000 profit?
A) ₹9680
B) ₹10200
C) ₹8800
D) ₹11000
Answer: A

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Q14. Three pipes A, B, and C can fill a tank in 12, 15, and 20 hours respectively. If all are opened together, how long will it take to fill the tank?
A) 5 hours
B) 4 hours
C) 3 hours
D) 6 hours
Answer: C

Q15. A logical reasoning puzzle gives 4 conditions about positions in a 5-floor building. Who lives on the third floor?
A) Ram
B) Raj
C) Ravi
D) Raju
Answer: B

Q16. The bar graph shows sales from Jan to May. If April's sales are twice Jan and May is 1.5 times March, find the month with max sales.
A) March
B) Jan
C) May
D) April
Answer: D

Q17. In a Venn diagram, if 40% like coffee, 30% like tea, and 10% like both, what percent like neither?
A) 40%
B) 20%
C) 10%
D) 30%
Answer: A

Q18. A group of 4 people can do a task in 12 days. If 2 more people join after 3 days, how many days will the task take in total?
A) 9
B) 10
C) 8
D) 7
Answer: B

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Q19. In a seating arrangement puzzle, A sits second to left of B. C is opposite A. D is between C and E. Who is right of E?
A) A
B) D
C) C
D) B
Answer: C

Q20. In a line graph showing revenue over months, which month had the steepest increase?
A) Jan-Feb
B) Mar-Apr
C) Apr-May
D) Feb-Mar
Answer: D

Q21. A table shows marks of 5 students in 4 subjects. Who has the second-highest total score?
A) Tina
B) Rahul
C) Simran
D) Amit
Answer: A

Q22. A puzzle gives the coded words: TREE = UFFH, BARK = CBUL. Decode LEAF.
A) MFBI
B) MFBE
C) MFBF
D) MEAF
Answer: B

Q23. In a circular arrangement, if every 2nd person is eliminated until one remains, who survives in a group of 8?
A) 1
B) 3
C) 5
D) 7
Answer: C

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Q24. A clock shows 3:15. What is the angle between the hour and minute hand?
A) 0°
B) 45°
C) 52.5°
D) 7.5°
Answer: D

Q25. If 5 men can complete a job in 12 days, how many men are needed to complete the job in 5 days?
A) 12
B) 10
C) 8
D) 9
Answer: A

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Q26. In a certain code, if RED is written as 729 and BLUE is written as 225, what will GREEN be written as?
A) 400
B) 625
C) 484
D) 576
Answer: D

Q27. A, B, C, and D are sitting around a square table, one on each side. A faces C, and B faces D. If A is to the right of B, who is sitting opposite B?
A) A
B) C
C) D
D) Cannot be determined
Answer: B

Q28. A bus covers 480 km in 8 hours. If it travels at 60 km/h for the first half and at a different speed for the second half, what is the speed for the second half?
A) 50 km/h
B) 60 km/h
C) 70 km/h
D) 80 km/h
Answer: A

Q29. A 5-digit number is formed using digits 1, 2, 3, 4, 5 without repetition. What is the probability that it is divisible by 4?
A) 1/5
B) 1/4
C) 1/3
D) 1/6
Answer: C

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Q30. In an exam, the average marks of 10 students is 70. If the highest and lowest scores are removed, the average becomes 72. What is the difference between the highest and lowest scores?
A) 20
B) 40
C) 36
D) 30
Answer: C

Q31. A table has 4 rows and 4 columns. Each cell must be filled with a number from 1 to 4 such that no number repeats in any row or column. How many such arrangements are possible (Latin squares)?
A) 576
B) 256
C) 24
D) 120
Answer: A

Q32. There are 6 friends. Each one shakes hands with every other friend exactly once. How many handshakes happen in total?
A) 12
B) 15
C) 20
D) 30
Answer: B

Q33. A table has 4 departments A, B, C, and D. In a year, profits changed as follows: A (+10%), B (−5%), C (+20%), D (−10%). If overall profit remains unchanged, which department contributed the most?
A) C
B) A
C) D
D) B
Answer: A

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Q34. A cube has 6 faces. If you paint all sides of a 3×3×3 cube and then cut it into 1×1×1 cubes, how many cubes will have exactly 2 faces painted?
A) 12
B) 24
C) 36
D) 8
Answer: B

Q35. A project team of 4 must be formed from 6 men and 5 women. What is the number of ways the team can be formed with at least one woman?
A) 210
B) 175
C) 185
D) 220
Answer: C

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Why is Solving CAT DILR Questions Important?

Here are six simplified and easy-to-understand points on why solving CAT DILR questions is important:

• Improves thinking ability: DILR questions help you think clearly and solve problems using logic and analysis.
• Important for overall score: This section carries equal marks as the other two sections, so doing well here boosts your total score.
• Helps you stand out: Many students find DILR tough, so scoring well can give you an advantage over others.
• Teaches smart decision-making: With practice, you learn how to choose the right sets of questions to solve first.
• Prepares you for real situations: The questions are similar to real-life business problems, which helps in future management roles.
• Builds speed and accuracy: Practicing regularly helps you solve questions faster and more accurately during the exam.

Check: Solved CAT Previous Year Papers with Answers

Best Books to Solve CAT DILR Questions 2025

To master this section, choosing the right resources is essential. Below are some of the most recommended books and study materials for CAT DILR preparation:

Book Name	Author Name	Key Features
How to Prepare for Data Interpretation for CAT	Arun Sharma	Covers all DI topics with solved examples and difficulty levels.
How to Prepare for Logical Reasoning for CAT	Arun Sharma	Detailed explanation of LR topics with progressive difficulty.
Logical Reasoning and Data Interpretation for the CAT	Nishit K. Sinha	Concept-based learning with updated CAT-level practice questions.
CAT Previous Year Question Papers	Various Sources	Real exam questions to understand trends and difficulty levels.
TIME/IMS/Career Launcher Mock Test Series	Respective Institutes	Exam-like mock tests for practice and performance analysis.

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DILR Syllabus for CAT 2025

Here are the topics covered in the Data Interpretation section of the CAT exam:

Topic	Description
Tables	Extracting and analyzing data using calculations like averages, percentages, ratios, and trends.
Bar Graphs	Interpreting data using bar lengths; questions may involve differences, sums, or percentage changes.
Line Graphs	Understanding trends and relationships over time, including growth rates and comparisons between multiple lines.
Pie Charts	Analyzing proportional data; often requires converting percentages to absolute values or comparing segments.
Venn Diagrams	Solving problems involving overlapping sets using two or more circles to show relationships.
Caselets	Reading short paragraphs with embedded data and answering questions using both data interpretation and logical reasoning.
Radar Charts	Analyzing multivariate data on a circular graph with multiple axes (also called Spider Charts).
Histograms	Understanding frequency distributions of numerical data grouped into intervals or bins.
Scatter Plots	Examining relationships or correlations between two variables through plotted data points.
Data Sufficiency	Determining if provided statements contain enough information to answer a specific question.
Reasoning-based DI	Combining logical reasoning with data interpretation to solve complex sets.
Data Arrangement	Organizing data logically based on conditions or rules given in the problem.
Mathematical Puzzles	Solving DI sets using mathematical reasoning and logic.
Networks and Diagrams	Interpreting information from flowcharts, networks, or schematic diagrams.

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Logical Reasoning Syllabus for CAT 2025

Here are the topics covered in the Logical Reasoning section of the CAT exam:
 

Topic	Subtopics / Description
Arrangements	- Linear Arrangements: Arrange people/objects in a straight line based on conditions. - Circular Arrangements: Arrange around a circle. - Complex Arrangements: Combine linear, circular, or add constraints.
Puzzles	- Seating Arrangements: Who sits next to whom based on rules. - Scheduling: Allocate tasks/events to times. - Floor Puzzles: Place people/items on different floors.
Blood Relations	Determine relationships from family-based clues; includes coded relations and family trees.
Venn Diagrams	Use Venn diagrams to represent and analyze logical relationships between groups.
Clocks and Calendars	Solve problems involving time, dates, and calendar-based logic.
Cubes	Solve cube-related problems: cutting, painting, folding, and spatial reassembly.
Routes and Networks	Analyze flow diagrams, maps, or route-based setups.
Binary Logic	Deduce conclusions from statements marked as true or false.
Games and Tournaments	Analyze outcomes, scores, or rankings in competitive setups.
2D/3D Space LRs	Visualize and reason with objects in two or three dimensions.
Coin Picking	Solve logical puzzles involving selecting coins under constraints.
Conditional LRs	Logic-based problems using "if-then" conditions.
Case-based LRs	Logical reasoning embedded within case study formats.
Selection	Select people/items based on specific rules or criteria.
Sequencing	Arrange items/events in a logical order using clues.
Logical Connectives	Apply logical operators like AND, OR, NOT, IF-THEN in reasoning.
Truth and Lie	Deduce truth based on statements from truth-tellers and liars.
Logical Matching	Match elements from different sets based on given conditions.

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Conclusion

It's important to note that the DILR section is known for its unpredictability, and new types of questions or variations on existing types can appear. 

Therefore, a strong foundation in the fundamental concepts and extensive practice with diverse problem sets is crucial for success in this section. 

Choosing the best books for CAT DILR questions and staying committed to regular practice will undoubtedly enhance your preparation

Familiarising yourself with different types of charts, graphs, and logical puzzle formats is highly recommended.

Read more: DILR Topics in CAT