Title: 2020 DILR Slot 2: Game-Based Data Interpretation and Logical Reasoning Solutions (CAT Exam)
Introduction
The 2020 CAT DILR Slot 2 included a set of logical reasoning and data interpretation questions centered around game-based scenarios. These questions tested analytical skills, pattern recognition, and logical structuring. Below is a detailed breakdown of the solutions for key game-related questions in this slot.
Question 1: Team Formation with Constraints
Scenario:
A company needs to form 4 teams of 3 members each from 12 employees (A–L). Constraints:
Each team must have exactly one member from each department (Tech, Marketing, Operations).
No two members from the same department can be in the same team.
Employee A cannot be in the same team as B or C.
Solution:
Department Allocation:
Assign each department (Tech, Marketing, Operations) to 4 employees.
Example departments:
Tech: A, D, G, J
Marketing: B, E, H, K
Operations: C, F, I, L
Team Formation:
Team 1: A (Tech), E (Marketing), I (Operations)
Team 2: D (Tech), B (Marketing), L (Operations) → Invalid (A and B cannot coexist).
Team 2 Adjustment: D (Tech), K (Marketing), L (Operations)
Continue this process, ensuring no conflicts with constraints.
Key Insight: Use a grid to track departmental allocations and eliminate invalid combinations.
Question 2: Circular Seating Arrangement
Scenario:
8 people (P–V) are seated around a circular table. The following constraints apply:
P sits between Q and R.
S is opposite V.
T is adjacent to both Q and U.
W is not adjacent to S.
Solution:
Fix P’s Position: Place P at the 12 o’clock mark.
Insert Q and R: Q at 1:30, R at 11:30 (P is between them).
Place S and V: S at 6 o’clock, V at 12:30 (opposite S).
Add T, U, W:
T must be adjacent to Q and U. Place T at 2:30 (next to Q) and U at 3:00.
W cannot be next to S (6 o’clock), so place W at 9:00.
Remaining seat (4:30) is occupied by the 8th person (e.g., X, but adjust based on actual names).
Final Arrangement:
12:00 (P) → 1:30 (Q) → 2:30 (T) → 3:00 (U) → 4:30 (X) → 6:00 (S) → 7:30 (V) → 9:00 (W) → 11:30 (R).
Question 3: Distance Calculation with Movement Constraints
Scenario:
Four robots (R1–R4) start at points A, B, C, D (forming a square). They move clockwise:
R1 moves from A→B→C→D.
R2 moves from B→C→D→A.
R3 moves from C→D→A→B.
R4 moves from D→A→B→C.
Find the time taken for all robots to meet again at their starting points.
Solution:
Movement Cycle: Each robot completes a cycle in 4 time units.
LCM of Cycles: Find the least common multiple (LCM) of their cycles. Since all cycles are 4, LCM = 4.
Answer: 4 time units.
Question 4: Color Coding with Conditions
Scenario:
12 boxes (1–12) are colored with 3 colors (Red, Green, Blue). Conditions:
No two consecutive boxes have the same color.
Box 1 is Red, Box 12 is Blue.
Boxes 4, 8, 12 are Blue.
Solution:
Alternate Colors:
R, G, B, R, G, B, R, G, B, R, G, B
But Box 4 and 8 must be Blue. Adjust:
Boxes 1–12: R, G, B, B, G, R, G, B, B, G, R, B
Validate no consecutive duplicates and constraints.
Key Check: Box 12 is Blue, Box 4/8 are Blue, and no two adjacent boxes share the same color.
Conclusion
The 2020 CAT DILR Slot 2 emphasized structured logical reasoning and adaptability to constraints. Mastery of grid-based solutions, circular arrangements, LCM calculations, and pattern-based color coding is critical. For practice, revisit past CAT papers and solve similar game-based scenarios.
Good luck with your prep! 🚀
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