DILR 2024 Slot 1: Data Interpretation and Logical Reasoning Solutions
1. Data Interpretation (Caselet or Graph Analysis)
Example Question:
A survey was conducted to analyze the sales of four products (A, B, C, D) over four months (Jan–Apr). The table below shows the percentage of total sales for each product and the total sales in crores for each month:
Month
Product A
Product B
Product C
Product D
Total Sales (Cr.)
Jan
15%
20%
25%
40%
50
Feb
20%
15%
30%
35%
60
Mar
25%
25%
20%
30%
70
Apr
30%
20%
15%
35%
80
Task:
Calculate the sales of Product C in March.
Determine the month with the highest sales of Product D.
Find the total sales of Product A across all months.
Solution:
Sales of Product C in March:
Total sales in March = ₹70 crore
Product C’s share = 20%
Sales = ( 70 \times 0.20 = ₹14 ) crore
Month with highest sales of Product D:
Jan: ( 50 \times 0.40 = ₹20 ) crore
Feb: ( 60 \times 0.35 = ₹21 ) crore
Mar: ( 70 \times 0.30 = ₹21 ) crore
Apr: ( 80 \times 0.35 = ₹28 ) crore
Answer: April (₹28 crore)
Total sales of Product A:
( 50 \times 0.15 + 60 \times 0.20 + 70 \times 0.25 + 80 \times 0.30 = ₹7.5 + 12 + 17.5 + 24 = ₹61 ) crore
2. Logical Reasoning (Seating Arrangement)
Example Question:
Six people (P, Q, R, S, T, U) are sitting in a row. Each person has a different favorite color (Blue, Green, Red, Yellow, Black, White). The following conditions apply:
P and Q are adjacent.
S is not adjacent to T.
The person wearing Green is between the ones wearing Red and White.
U is at one end.
Q does not wear Yellow.
Task:
Find the seating order and color assignments.
Solution:
Positions: Since U is at an end, assume positions 1 and 6.
U (Position 1 or 6).
Adjacency: P and Q must be next to each other.
Color Constraints:
Green is between Red and White. Possible sequences: Red-Green-White or White-Green-Red.
Assigning Colors:
If U is at Position 1, the sequence could be:
1 (U): Color?
2–3–4: Red-Green-White or White-Green-Red.
5–6: Remaining colors (Black, Yellow).
If Q is adjacent to P, place them in positions 3–4 or 4–5.
Testing constraints, the valid arrangement is:
Positions: 1 (U-Black), 2 (R), 3 (P-Green), 4 (Q-White), 5 (S-Yellow), 6 (T-Red).
Final Order:
U (Black)
R (Red)
P (Green)
Q (White)
S (Yellow)
T (Blue)
3. Logical Reasoning (Puzzle – Blood Relations)
Example Question:
A family has five members: A, B, C, D, E. A is the father. C is the daughter of A and sister of D. E is the brother of B. How is B related to C?
Solution:
Family Tree:
A (Father) → C (Daughter) and D (Sister of C → Daughter of A).
E is the brother of B → B and E are siblings.
Conclusion: B is the uncle/aunt of C (since C is A’s daughter and B is E’s sibling, but no direct parent-child link).
Key Tips for DILR 2024:
Data Interpretation:
Focus on calculating percentages and averages quickly.
Use approximations for faster answers (e.g., ( 15% ) of 50 = ( 7.5 )).
Logical Reasoning:
Draw diagrams for seating/blood relations.
List constraints systematically to eliminate options.
Final Answer Format:
For exams like CAT, present answers concisely:
Data Interpretation: Numerical answers boxed (e.g., \boxed{14} crore).
Logical Reasoning: Seating orders as numbered lists.
Let me know if you need further clarification!
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