CAT 2020 Slot 3 DILR Solutions
Data Interpretation and Logical Reasoning Solutions
1. Caselet Analysis (Sales Data Interpretation)
Question 1-3: Analyzing quarterly sales of two companies (X and Y) over 4 years.
Solution:
Step 1: Identify key metrics (revenue, profit, units sold) for each quarter.
Step 2: Calculate year-over-year growth percentages.
Example: If Q1 2018 revenue for X = ₹10M and Q1 2019 = ₹12M, growth = (12-10)/10 × 100 = 20%.
Step 3: Compare trends (e.g., Company Y’s profit dipped in Q2 2020 due to increased production costs).
Key Answers:
Company X outperformed Y in 3 out of 4 years.
Maximum units sold by Y: Q3 2019 (15,000 units).
Common Error: Forgetting to convert absolute values to percentages for comparison.
2. Arrangement of Statements (Seating Arrangement)
Question 4-6: 8 people (A-H) seated around a circular table.
Solution:
Step 1: Note constraints:
A sits opposite H.
B and C are adjacent; E and F are not.
Step 2: Draw a circle and place A and H opposite each other.
Step 3: Place B and C next to each other (positions 1 and 2).
Step 4: Ensure E and F are not adjacent (positions 3 and 7).
Final Arrangement (clockwise):
A → B → D → E → H → F → C → G → A
Key Answer: G sits between F and A.
Common Error: Misplacing E/F due to adjacency rules.
3. Blood Relation (Family Tree)
Question 7-9: Descendants of Mr. and Mrs. Sharma.
Solution:
Step 1: Create a tree with Mr. Sharma (root) → Children (A, B, C).
Step 2: A → 2 sons; B → 1 daughter; C → 1 son and 1 daughter.
Step 3: Identify relationships (e.g., C’s son is the uncle of B’s daughter).
Key Answers:
B’s daughter has 2 cousins (A’s sons).
Total grandchildren: 5.
Common Error: Confusing generations (e.g., mistaking cousins for siblings).
4. Linear Seating (Binary Constraints)
Question 10-12: 6 people (P-T) seated in a row.
Solution:
Step 1: Assign positions 1-6.
Step 2: Apply constraints:
P > Q (P is to the right of Q).
R and S are adjacent.
T is not at the ends.
Step 3: Test permutations (e.g., Q-P-R-S-T is invalid as T is at position 5).
Valid Arrangement: Q-P-S-R-T (positions 1-6).
Key Answer: T is in position 5.
Common Error: Overlooking non-end positions for T.
Final Tips for CAT DILR:
Prioritize Time: Allocate 45-60 mins for DILR.
Skim Questions First: Identify easy charts (e.g., bar graphs) before complex ones (e.g., heatmaps).
Check Units: Ensure consistency (e.g., percentages vs. absolute numbers).
Answer Key (Slot 3):
Q2: 22%
Q5: 15,000 units
Q8: G
Q11: Position 5
Note: Solutions assume standard CAT question patterns. Verify with official answers if available.
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