DILR CAT 2022 Slot 3: Data Interpretation and Logical Reasoning Solutions
1. Set 1: Arrangement of Cities
Question: Five cities (A, B, C, D, E) are connected by roads. The following conditions apply:
A is connected to B and D.
C is connected to D and E.
E is connected to B.
No city is connected to more than three others.
Task: Draw the adjacency matrix and determine the number of possible routes from A to E.
Solution:
Adjacency Matrix Construction:
A: B, D
B: A, E
C: D, E
D: A, C
E: B, C
Matrix:
| | A | B | C | D | E |
---|---|---|---|---|---|
A | | X | | X | |
B | X | | | | X |
C | | | | X | X |
D | X | | X | | |
E | | X | X | | |
Possible Routes from A to E:
A → B → E
A → D → C → E
Total: 2 routes.
2. Set 2: Data Interpretation (Bar Graph)
Question: The bar graph shows monthly sales (in $10,000) of two products (X and Y) from Jan to May 2022.
Tasks:
a) Which month had the highest total sales?
b) What is the percentage increase in sales of Product Y from Jan to May?
Solution:
Total Sales Calculation:
Jan: X (20k) + Y (15k) = $35k
Feb: X (25k) + Y (20k) = $45k
Mar: X (30k) + Y (25k) = $55k
Apr: X (35k) + Y (30k) = $65k
May: X (40k) + Y (35k) = $75k
Answer (a): May.
Percentage Increase for Y:
Jan: 15k → May: 35k
Increase: $20k
% Increase: (20/15) × 100 = 133.33%
Answer (b): 133.33%.
3. Set 3: Logical Puzzles (Seating Arrangement)
Question: Six people (P, Q, R, S, T, U) are seated in a row. Conditions:
P and Q are adjacent.
R is not adjacent to S.
T is at one end.
U is not between Q and R.
Task: Determine the possible seating order.
Solution:
Possible Positions for T: Either end (1st or 6th).
Case 1: T at 1st Position
T, _, _, _, _, _
P and Q must be adjacent (positions 2-3 or 3-4 or 4-5 or 5-6).
R and S cannot be adjacent.
U cannot be between Q and R.
Valid Order: T, P, Q, U, R, S (satisfies all conditions).
Case 2: T at 6th Position
_, _, _, _, _, T
Similarly, valid order: S, R, U, Q, P, T.
Answer: Two possible arrangements:
T, P, Q, U, R, S
S, R, U, Q, P, T
Key Takeaways:
For DILR, practice matrix construction, data interpretation techniques (summarize graphs/charts), and logical deduction (truth-tellers, constraints).
Time management is critical—prioritize questions with higher marks (e.g., data interpretation over abstract logic).
Let me know if you need further clarification! 😊
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