Download CAT DILR Previous Year PDFs with Solutions
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CAT Year
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Slot 1
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Slot 2
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Slot 3
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2025
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Download CAT 2025 DILR Slot 1 PDF
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Download CAT 2025 DILR Slot 2 PDF
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Download CAT 2025 DILR Slot 3 PDF
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2024
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Download CAT 2024 DILR Slot 1 PDF
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Download CAT 2024 DILR Slot 2 PDF
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Download CAT 2024 DILR Slot 3 PDF
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2023
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Download CAT 2023 DILR Slot 1 PDF
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Download CAT 2023 DILR Slot 2 PDF
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Download CAT 2023 DILR Slot 3 PDF
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2022
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Download CAT 2022 DILR Slot 1 PDF
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Download CAT 2022 DILR Slot 2 PDF
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Download CAT 2022 DILR Slot 3 PDF
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2021
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Download CAT 2021 DILR Slot 1 PDF
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Download CAT 2021 DILR Slot 2 PDF
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Download CAT 2021 DILR Slot 3 PDF
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2020
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Download CAT 2020 DILR Slot 1 PDF
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Download CAT 2020 DILR Slot 2 PDF
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Download CAT 2020 DILR Slot 3 PDF
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CAT DILR Exam Pattern
The following table presents the recent CAT 2025 DILR examination structure.
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Exam Parameter
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CAT DILR Pattern
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Section Name
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Data Interpretation and Logical Reasoning (DILR)
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Questions
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22
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Maximum Marks
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66
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Sectional Time Limit
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40 minutes
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Marks for Each Correct Answer
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3 marks
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Negative Marking for Incorrect MCQs
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-1 mark
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Negative Marking for TITA Questions
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No negative marking
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Question Formats
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Multiple Choice Questions (MCQs) and Type in the Answer (TITA)
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CAT DILR Topic-Wise Priority
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Topic Area
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Important Subtopics
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Preparation Priority
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Arrangements and Ordering
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Linear, circular, rectangular and multi-variable arrangements
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High
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Games and Tournaments
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Round-robin, knockout, rankings, points tables and match results
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High
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Distribution and Allocation
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Assigning people, objects or roles under constraints
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High
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Scheduling and Sequencing
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Timetables, sequences, calendars and order-based puzzles
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Medium to High
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Venn Diagrams
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Two-set, three-set and multi-set overlapping data
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Medium to High
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Data Interpretation
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Tables, bar graphs, line graphs, pie charts and caselets
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Medium to High
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Networks and Routes
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Maps, routes, connections and diagram-based reasoning
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Medium
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Quant-Based DI
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Percentages, ratios, averages and missing data
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Medium
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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.
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.
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.
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.
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Month
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Fiction
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Non-Fiction
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Total
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January
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120
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80
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200
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February
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150
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100
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250
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March
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180
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120
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300
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April
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200
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150
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350
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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.
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.
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Question Type
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Useful Method
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Arrangements
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Create a table or diagram before solving
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Circular Arrangements
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Fix one person and use opposite-position rules
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Games and Tournaments
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Maintain a points table and track total matches
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Venn Diagrams
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Fill the innermost region first
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Data Interpretation
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Check units, totals, percentages and missing values
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Scheduling
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Fix definite positions before testing possibilities
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Distribution
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Use elimination based on direct constraints
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Quant-Based DI
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Convert data into ratios, percentages or averages
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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 numeric
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 point 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:
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Column
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Purpose
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Set Type
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Identifies recurring question patterns
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Mistake Made
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Reveals the cause of the error
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Incorrect Interpretation
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Shows whether a condition was misread
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Correct Approach
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Records the reliable solving method
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Time Taken
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Identifies sets that require faster execution
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Revision Date
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Supports regular revision
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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:
- Revise the approach for each DILR set type.
- Solve topic-wise CAT DILR PYQs.
- Review incorrect answers and identify the reason for each mistake.
- Create a personal template for tables, Venn diagrams and tournament points tables.
- Attempt complete DILR sections under the 40-minute time limit.
- Analyse mock tests to improve set selection and accuracy.
- 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.