Here’s a structured analysis of the CAT 2018 DILR Slot 2 with solutions to common game-based questions, focusing on logical reasoning and data interpretation. This guide follows the typical question patterns and strategies for such exams:
CAT 2018 DILR Slot 2 Overview
The Data Interpretation and Logical Reasoning (DILR) section in Slot 2 often includes puzzles involving sets, sequences, grids, or logical chain problems. Below are common question types and solutions:
1. Set Theory & Venn Diagrams
Example Question:
A survey asks 200 people about their preferences for tea, coffee, and juice. 120 prefer tea, 80 prefer coffee, 50 prefer juice. 30 like both tea and coffee, 20 like both tea and juice, 15 like both coffee and juice, and 5 like all three. How many people like none of these drinks?
Solution:
Use the inclusion-exclusion principle:
Total = Tea + Coffee + Juice - (Tea∩Coffee + Tea∩Juice + Coffee∩Juice) + AllThree
Total = 120 + 80 + 50 - (30 + 20 + 15) + 5 = 200 - 65 + 5 = 140
Subtract from total respondents:
200 - 140 = 60 people like none.
2. Seating Arrangement (Linear/ Circular)
Example Question:
8 people (A-H) are seated in a row. A and B are adjacent. C is opposite to E. D is between B and F. Who is at the ends?
Solution:
Draw a row with positions 1–8.
Place D between B and F: Possible sequences: B-D-F or F-D-B.
A and B are adjacent. Assume B is at position 2 → A at 1 or 3.
C and E are opposite (positions 4 and 5).
Final arrangement (example):
A-B-D-F-C-E-H-G
Ends: A and H
3. Grid-Based Puzzles
Example Question:
A 3x3 grid where each cell has a number. The sum of each row, column, and diagonal is 15. Find the missing number.
Solution:
Recognize it as a magic square.
Center cell = 5 (sum/3 = 15/3).
If top-left is 8, then diagonals:
8 + 5 + 2 = 15 → bottom-right = 2.
Remaining numbers: 1, 3, 4, 6, 7.
Fill rows/columns to complete.
4. Time & Work
Example Question:
Pipe A fills a tank in 3 hours, Pipe B in 6 hours. If both pipes leak (C and D), the tank fills in 4 hours. How long to fill if only C leaks?
Solution:
Rates:
A = 1/3 tank/hour, B = 1/6 tank/hour.
Combined rate without leaks = 1/3 + 1/6 = 1/2 tank/hour.
With leaks, rate = 1/4 tank/hour.
Leaks’ rate = 1/2 - 1/4 = 1/4 tank/hour.
If only C leaks, total rate = 1/2 - 1/4 = 1/4 tank/hour → Time = 4 hours.
5. Sequence & Series
Example Question:
A sequence: 2, 6, 12, 20, 30… Find the next term and the nth term formula.
Solution:
Differences: 4, 6, 8, 10… (increasing by 2).
Next term = 30 + 12 = 42.
nth term = n(n+1) (since 1×2=2, 2×3=6, etc.).
Key Tips for CAT DILR
Practice puzzles with constraints (e.g., "no two same numbers adjacent").
Master formulas for set theory, work rate, and sequences.
Time management: Allocate 30 mins for 8–10 questions.
Review diagrams carefully (e.g., grid orientation in circular questions).
For exact 2018 Slot 2 questions, refer to official CAT papers or reliable prep platforms like Vivek’s CAT or Cracku.
Let me know if you need further clarification! 🎯
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