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CAT DILR Previous Year Question Papers PDF

CAT DILR previous year question papers with solutions help aspirants develop set-selection skills, logical deduction, calculation accuracy and time management. DILR questions usually appear in sets based on arrangements, games and tournaments, Venn diagrams, tables, charts, scheduling, distribution and network diagrams.

cat dilr previous year question paper

CAT does not prescribe an official chapter-wise weightage for DILR. However, previous examination papers show that arrangements, grouping, games and tournaments, scheduling, distribution, networks and data interpretation are recurring areas. The key skill is not solving every set; it is identifying the sets aspirants can solve accurately within the available time.

This guide presents representative CAT-level practice questions, not verified questions from a particular CAT year or slot. For authentic previous-year practice, use official CAT question papers and answer keys.

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Download CAT DILR Previous Year PDFs with Solutions

CAT Year

Slot 1

Slot 2

Slot 3

2025

Download CAT 2025 DILR Slot 1 PDF

Download CAT 2025 DILR Slot 2 PDF

Download CAT 2025 DILR Slot 3 PDF

2024

Download CAT 2024 DILR Slot 1 PDF

Download CAT 2024 DILR Slot 2 PDF

Download CAT 2024 DILR Slot 3 PDF

2023

Download CAT 2023 DILR Slot 1 PDF

Download CAT 2023 DILR Slot 2 PDF

Download CAT 2023 DILR Slot 3 PDF

2022

Download CAT 2022 DILR Slot 1 PDF

Download CAT 2022 DILR Slot 2 PDF

Download CAT 2022 DILR Slot 3 PDF

2021

Download CAT 2021 DILR Slot 1 PDF

Download CAT 2021 DILR Slot 2 PDF

Download CAT 2021 DILR Slot 3 PDF

2020

Download CAT 2020 DILR Slot 1 PDF

Download CAT 2020 DILR Slot 2 PDF

Download CAT 2020 DILR Slot 3 PDF

CAT DILR Exam Pattern

The following table presents the recent CAT 2025 DILR examination structure.

Exam Parameter

CAT DILR Pattern

Section Name

Data Interpretation and Logical Reasoning (DILR)

Questions

22

Maximum Marks

66

Sectional Time Limit

40 minutes

Marks for Each Correct Answer

3 marks

Negative Marking for Incorrect MCQs

-1 mark

Negative Marking for TITA Questions

No negative marking

Question Formats

Multiple Choice Questions (MCQs) and Type in the Answer (TITA)

Know All About CAT Admit Card here

CAT DILR Topic-Wise Priority

Topic Area

Important Subtopics

Preparation Priority

Arrangements and Ordering

Linear, circular, rectangular and multi-variable arrangements

High

Games and Tournaments

Round-robin, knockout, rankings, points tables and match results

High

Distribution and Allocation

Assigning people, objects or roles under constraints

High

Scheduling and Sequencing

Timetables, sequences, calendars and order-based puzzles

Medium to High

Venn Diagrams

Two-set, three-set and multi-set overlapping data

Medium to High

Data Interpretation

Tables, bar graphs, line graphs, pie charts and caselets

Medium to High

Networks and Routes

Maps, routes, connections and diagram-based reasoning

Medium

Quant-Based DI

Percentages, ratios, averages and missing data

Medium

CAT Arrangement Questions with Solutions

Arrangement questions require aspirants to place people, objects or events in a sequence or position based on given conditions. A clear table or diagram is essential before attempting the questions.

Question 1: Linear Arrangement

Question: Five friends A, B, C, D and E sit in a row facing north.

  • A sits immediately to the right of B.
  • C sits at one of the ends.
  • D sits between A and E.
  • E does not sit at either end.

Who sits in the middle position?

Solution:

Represent the five positions from left to right as:

Position 1, Position 2, Position 3, Position 4, Position 5

Since all face north, immediately to the right means the next position to the right.

A sits immediately to the right of B, so the possible pairs are:

B-A, B-A, B-A

D sits between A and E. Therefore, the sequence must include A-D-E or E-D-A.

Since A is immediately to the right of B, the sequence B-A-D-E is possible.

This uses four positions. C must occupy the remaining end.

Therefore, the arrangement is:

C, B, A, D, E

The middle position is occupied by A.

Final Answer: A.

Question 2: Circular Arrangement

Question: Six people P, Q, R, S, T and U sit around a circular table facing the centre.

  • P sits opposite Q.
  • R sits immediately to the left of P.
  • S sits immediately to the right of Q.
  • T sits between R and S.

Who sits opposite T?

Solution:

Place six positions around the circle.

Let P occupy one position. Since P faces the centre, the person immediately to P’s left is the next position in the anti-clockwise direction.

Place R immediately to the left of P.

P sits opposite Q, so place Q directly opposite P.

S sits immediately to the right of Q.

T sits between R and S.

The only remaining person is U.

The arrangement is:

P, R, T, S, Q, U

T is opposite U.

Final Answer: U.

2. CAT Games and Tournaments Questions with Solutions

Games and tournaments questions test match results, points, rankings and possible outcomes. Aspirants should create a points table early and use wins, losses, draws and total matches to eliminate possibilities.

Question 1: Round-Robin Tournament

Question: Four teams A, B, C and D play a round-robin tournament, where each team plays every other team exactly once. A win gives 3 points, a draw gives 1 point and a loss gives 0 points. At the end of the tournament, A has 7 points, B has 4 points, C has 2 points and D has 3 points. How many matches ended in a draw?

Solution:

Each team plays three matches, so the total number of matches is:

4C2 = 6

Let the number of drawn matches be x.

Each drawn match gives 1 point to each team, contributing 2 points in total.

Each decided match gives 3 points to the winner and 0 points to the loser, contributing 3 points in total.

Total points:

2x + 3(6 - x) = 7 + 4 + 2 + 3

2x + 18 - 3x = 16

18 - x = 16

x = 2

Final Answer: 2 matches ended in a draw.

3. CAT Venn Diagram Questions with Solutions

Venn diagram questions test overlapping categories and set relationships. Aspirants should begin with the innermost region, use the total number of elements and fill the diagram step by step.

Question 1: Two-Set Venn Diagram

Question: In a group of 50 students, 30 study Mathematics, 25 study Physics and 10 study neither subject. How many students study both Mathematics and Physics?

Solution:

Students studying at least one subject:

50 - 10 = 40

Using the inclusion-exclusion principle:

n(M ∪ P) = n(M) + n(P) - n(M ∩ P)

40 = 30 + 25 - n(M ∩ P)

n(M ∩ P) = 55 - 40

n(M ∩ P) = 15

Final Answer: 15 students study both Mathematics and Physics.

Question 2: Three-Set Venn Diagram

Question: In a survey of 100 people, 40 like tea, 35 like coffee and 30 like milk. Exactly 10 people like all three beverages. Exactly 5 people like none of the three beverages. If 20 people like exactly two beverages, how many people like exactly one beverage?

Solution:

Total people = 100

People who like at least one beverage:

100 - 5 = 95

Let the number of people who like exactly one beverage be x.

People who like exactly two beverages = 20

People who like all three beverages = 10

Therefore:

x + 20 + 10 = 95

x = 65

Final Answer: 65 people like exactly one beverage.

4. CAT Data Interpretation Questions with Solutions

Data Interpretation questions test the ability to extract information from tables, charts and caselets. Aspirants should read the chart title, units, legends and footnotes before solving.

Question 1: Table-Based DI

Question: The table below shows the number of books sold by a bookstore in four months.

 

Month

Fiction

Non-Fiction

Total

January

120

80

200

February

150

100

250

March

180

120

300

April

200

150

350

What is the percentage increase in total books sold from January to April?

Solution:

Total books sold in January = 200

Total books sold in April = 350

Increase = 350 - 200 = 150

Percentage Increase = (Increase / Original Value) * 100

= (150 / 200) * 100

= 75%

Final Answer: 75%.

Question 2: Pie Chart DI

Question: A pie chart represents the expenditure of a family with a total monthly budget of ₹40,000.

  • Rent: 30%
  • Food: 25%
  • Education: 20%
  • Travel: 15%
  • Savings: 10%

What is the difference between the amount spent on rent and the amount spent on travel?

Solution:

Amount spent on rent:

30% of ₹40,000 = ₹12,000

Amount spent on travel:

15% of ₹40,000 = ₹6,000

Difference:

₹12,000 - ₹6,000 = ₹6,000

Final Answer: ₹6,000.

Question 3: Caselet DI

Question: A school has 200 students. Each student studies at least one of three subjects: Mathematics, Science or English.

  • 80 students study Mathematics.
  • 90 students study Science.
  • 70 students study English.
  • 20 students study all three subjects.
  • 30 students study exactly two subjects.

How many students study exactly one subject?

Solution:

Total students = 200

Students studying exactly two subjects = 30

Students studying all three subjects = 20

Students studying exactly one subject:

200 - 30 - 20 = 150

Final Answer: 150 students.

5. CAT Scheduling and Distribution Questions with Solutions

Scheduling and distribution questions require aspirants to assign people, tasks or objects under multiple constraints. Aspirants should use a table with all possible options and eliminate invalid combinations.

Question 1: Scheduling

Question: Four workshops W1, W2, W3 and W4 are scheduled from Monday to Thursday, one workshop per day.

  • W1 is not scheduled on Monday.
  • W2 is scheduled immediately before W3.
  • W4 is scheduled on Thursday.

What is the schedule from Monday to Thursday?

Solution:

W4 is fixed on Thursday.

W2 must be immediately before W3. The available positions for W2 and W3 are:

  • Monday and Tuesday
  • Tuesday and Wednesday

W1 cannot be scheduled on Monday.

If W2 and W3 occupy Monday and Tuesday, W1 must occupy Wednesday, which is allowed.

Therefore, the schedule is:

Monday: W2
Tuesday: W3
Wednesday: W1
Thursday: W4

Final Answer: W2, W3, W1, W4.

Question 2: Distribution

Question: Three teachers X, Y and Z teach four subjects: Mathematics, Science, English and History. Each teacher teaches at least one subject, and no subject is taught by more than one teacher.

  • X teaches Mathematics.
  • Y does not teach Science.
  • Z teaches History.

Which subject does Y teach?

Solution:

X teaches Mathematics.

Z teaches History.

The remaining subjects are Science and English.

Y does not teach Science.

Therefore, Y teaches English.

Final Answer: English.

CAT DILR Formula Sheet and Techniques

DILR does not require a large formula sheet, but the following methods improve speed and accuracy.

Question Type

Useful Method

Arrangements

Create a table or diagram before solving

Circular Arrangements

Fix one person and use opposite-position rules

Games and Tournaments

Maintain a points table and track total matches

Venn Diagrams

Fill the innermost region first

Data Interpretation

Check units, totals, percentages and missing values

Scheduling

Fix definite positions before testing possibilities

Distribution

Use elimination based on direct constraints

Quant-Based DI

Convert data into ratios, percentages or averages

Important CAT DILR Techniques

  • Read the entire set first: Understand the scenario, variables and questions before solving.
  • Create a structured layout: Use tables for arrangements, grids for distributions and Venn diagrams for overlapping sets.
  • Start with definite conditions: Fixed positions, exact numbers and direct statements provide the strongest starting points.
  • Use elimination: Remove impossible cases instead of testing every possibility.
  • Check consistency: Verify that the final arrangement satisfies every given condition.
  • Identify dependent questions: If one answer unlocks several questions, prioritise that set.
  • Avoid sunk-cost thinking: Leave a set if the initial setup does not become clear within a reasonable time.
  • Use TITA strategically: TITA questions have no negative marking, so aspirants can enter a reasoned numerical answer.

How to Practise CAT DILR Previous Year Questions

1. Practise Set Types Separately

Begin with one set type at a time. For example, solve 10 to 15 arrangement sets before moving to games and tournaments, Venn diagrams or Data Interpretation.

Practise the following separately:

  • Linear and circular arrangements.
  • Games, tournaments and points tables.
  • Venn diagrams and set theory.
  • Tables, bar graphs, line graphs and pie charts.
  • Scheduling, distribution and network-based sets.

2. Attempt Complete DILR Sections

After topic-wise practice, aspirants should solve complete 22-question DILR sections in 40 minutes. They should not check solutions during the attempt.

Record the following after every practice session:

  • Number of sets attempted.
  • Number of questions attempted.
  • Number of correct and incorrect answers.
  • Time spent on each set.
  • Questions skipped due to difficulty.
  • Sets abandoned after initial reading.
  • Errors caused by misreading conditions or calculation mistakes.

3. Analyse Solutions After Every Attempt

Checking the final answer is not enough. Aspirants should examine the method used to solve each set and identify the deduction that unlocked it.

For example:

  • In arrangements, identify the condition that fixed the starting point.
  • In tournaments, identify the total-points method or ranking constraint.
  • In Venn diagrams, identify the region that should be filled first.
  • In Data Interpretation, identify whether ratios, percentages or totals simplify the calculation.
  • In scheduling, identify the fixed positions and dependent conditions.

4. Maintain a DILR Error Log

An error log helps aspirants track recurring mistakes and plan revision sessions. Use the following format:

Column

Purpose

Set Type

Identifies recurring question patterns

Mistake Made

Reveals the cause of the error

Incorrect Interpretation

Shows whether a condition was misread

Correct Approach

Records the reliable solving method

Time Taken

Identifies sets that require faster execution

Revision Date

Supports regular revision

Common Mistakes to Avoid in CAT DILR

  • Starting calculations before understanding the complete set.
  • Ignoring units, totals, footnotes or chart legends.
  • Making assumptions not stated in the question.
  • Missing negative conditions such as not, cannot or does not.
  • Spending too much time on one difficult set.
  • Attempting every question without assessing the set’s solvability.
  • Leaving TITA questions blank despite no negative marking.
  • Making speculative MCQ attempts despite negative marking.
  • Comparing raw DILR scores across slots without considering normalisation.

CAT DILR Preparation Strategy

Use CAT DILR previous year questions with solutions as a regular part of preparation. Begin with arrangements, games and tournaments, then strengthen Venn diagrams, Data Interpretation, scheduling and network-based sets.

A practical preparation sequence is:

  1. Revise the approach for each DILR set type.
  2. Solve topic-wise CAT DILR PYQs.
  3. Review incorrect answers and identify the reason for each mistake.
  4. Create a personal template for tables, Venn diagrams and tournament points tables.
  5. Attempt complete DILR sections under the 40-minute time limit.
  6. Analyse mock tests to improve set selection and accuracy.
  7. Revisit difficult sets and practise alternative solving methods.

Combine previous-year question practice with sectional tests and full-length mock examinations. Regular analysis of mistakes improves logical accuracy, calculation speed and set-selection judgement.

FAQs on CAT DILR Previous Year Questions

Aspirants can find CAT question papers and answer keys on the official CAT website. Established CAT preparation platforms also offer solved papers, CAT DILR question paper PDFs and topic-wise practice resources.

Arrangements, grouping, games and tournaments, distribution, scheduling, Venn diagrams and Data Interpretation are important areas. Aspirants should also practise networks, routes and quant-based DI regularly.

Recent CAT patterns have featured 22 DILR questions in a 40-minute section. Aspirants should verify the number of questions against the applicable CAT notification.

CAT DILR includes both MCQs and TITA questions. MCQs carry negative marking for incorrect responses, while TITA questions do not.

There is no fixed number. Aspirants should attempt sets based on familiarity, clarity of constraints and time available. Accurate attempts are more valuable than speculative attempts.

A practical benchmark is to assess a set within the first two to three minutes. If the setup remains unclear or requires excessive assumptions, aspirants should move to another set.

CAT may test similar set structures and reasoning skills, but aspirants should not expect exact questions to repeat. They should focus on mastering arrangements, tournaments, Venn diagrams, tables and caselets.

Aspirants should record incorrect answers, skipped sets, time-consuming questions and repeated errors after every practice session. An error log helps identify recurring problems and plan revision.

Aspirants should start with topic-wise practice to strengthen individual set types. After building familiarity, they should solve complete year-wise and slot-wise DILR sections under timed conditions.

Yes. Official answer keys provide answer references, while preparation resources and solved-question collections offer detailed explanations. Step-by-step solutions help aspirants examine the constraints, diagrams and alternative approaches involved in each set.

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