Title: CAT 22 Slot 1 DILR: Data Interpretation and Logical Reasoning Solution
Introduction
CAT (Common Admission Test) is a highly competitive exam in India for admissions to top management programs. The DILR (Data Interpretation and Logical Reasoning) section typically includes 8-10 questions across two slots. Below is a sample solution for a hypothetical Question 22 in Slot 1, focusing on both Data Interpretation and Logical Reasoning.
Question 22 (Data Interpretation)
Source: Hypothetical CAT 2023 Mock Test
A table shows the sales (in Lakh ₹) of five products (A, B, C, D, E) across three cities (X, Y, Z) in 2022. Answer the following:
| Product | City X | City Y | City Z |
|---------|--------|--------|--------|
| A | 120 | 150 | 180 |
| B | 90 | 110 | 130 |
| C | 200 | 220 | 240 |
| D | 80 | 100 | 120 |
| E | 150 | 170 | 190 |
Question:
Which product has the highest percentage increase in sales from City X to City Z?
Solution:
Calculate the percentage increase formula:
[
\text{Percentage Increase} = \left( \frac{\text{Final Value} - \text{Initial Value}}{\text{Initial Value}} \right) \times 100
]
Apply to each product:
Product A:
[
\frac{180 - 120}{120} \times 100 = 50%
]
Product B:
[
\frac{130 - 90}{90} \times 100 \approx 44.44%
]
Product C:
[
\frac{240 - 200}{200} \times 100 = 20%
]
Product D:
[
\frac{120 - 80}{80} \times 100 = 50%
]
Product E:
[
\frac{190 - 150}{150} \times 100 \approx 26.67%
]
Compare results:
Products A and D both have a 50% increase, which is the highest.
Answer: Products A and D (Tie for highest percentage increase).
Question 22 (Logical Reasoning)
Source: Hypothetical CAT 2023 Mock Test
Five friends (P, Q, R, S, T) are assigned projects (A, B, C, D, E) under the following constraints:
P does not work with Q.
R works with exactly two projects.
S works on project B.
T does not work with R.
Question:
If S is assigned project B, which friend is not working on project E?
Solution:
Given: S is on project B.
Constraints:
From (3): S → B.
From (1): P ≠ Q (they can’t share a project).
From (2): R must be in exactly two projects.
From (4): T ≠ R.
Assign remaining projects (A, C, D, E):
R must take two projects. Possible pairs: (A, C), (A, D), (A, E), (C, D), etc.
T cannot work with R, so T must take a project not paired with R.
Elimination:
If R takes A and C, then T can take D or E.
If R takes A and E, then T cannot take E (since R is on E).
Thus, T cannot be on E if R is paired with E.
Answer: T is not working on project E.
Key Takeaways for CAT DILR
Data Interpretation:
Master percentage change, ratios, and averages.
Use quick calculations (e.g., fractions to percentages).
Logical Reasoning:
Map constraints systematically (e.g., grid or table).
Look for "exclusion" clues (e.g., "not" statements).
Time Management Tip: Allocate 45 seconds per DI question and 1 minute per LR question. Practice with official mocks to improve speed.
Let me know if you need further clarification! 🚀
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