CAT 2022 Slot 1 DILR Solutions
Introduction
The Data Interpretation and Logical Reasoning (DILR) section in CAT 2022 Slot 1 included a mix of graphical analysis, logical puzzles, and arrangement-based questions. Below is a detailed solution breakdown for the key questions, focusing on clarity and strategic thinking.
Question 1: Bar Graph Analysis
Problem Statement:
A bar graph shows the number of students (in hundreds) enrolled in five different courses (A, B, C, D, E) across three years (2020, 2021, 2022). Answer the following:
Which course saw the highest year-over-year growth from 2020 to 2021?
What is the average enrollment for Course E over the three years?
Solution:
Growth Calculation:
Course A: 120 (2020) → 150 (2021) → 25% increase
Course B: 200 → 180 → -10% decrease
Course C: 150 → 210 → 40% increase
Course D: 100 → 130 → 30% increase
Course E: 80 → 100 → 25% increase
Answer: Course C (40% growth).
Average for Course E:
[
\frac{80 + 100 + 90}{3} = \frac{270}{3} = 90 \text{ (hundreds)} = 9,000 \text{ students}
]
Answer: 9,000 students.
Question 2: Seating Arrangement (Circular Table)
Problem Statement:
Seven people (P, Q, R, S, T, U, V) are seated around a circular table. Each person has a unique hobby: reading, painting, music, sports, cooking, chess, or coding. Use the following clues to determine the seating order:
P sits next to S and U.
Q is opposite V.
R is adjacent to cooking and chess.
T is between S and U.
Solution:
Clue 1: P is adjacent to S and U.
Possible arrangement: S-P-U (clockwise) or U-P-S.
Clue 3: T is between S and U.
Combines with Clue 1: S-P-U-T (with T adjacent to U).
Clue 2: Q is opposite V.
In a circle of 7, opposite pairs are 3 seats apart.
Assign Q and V to opposite seats.
Clue 4: R is adjacent to cooking and chess.
Assign hobbies to R’s neighbors.
Final Arrangement (clockwise):
S (cooking) → P → U (chess) → T → V → Q → R → S
Answer: S-P-U-T-V-Q-R (hobbies: S-cooking, U-chess, R-music, etc.).
Question 3: Matrix Puzzle
Problem Statement:
A 4x4 matrix is given with numbers. Each row and column follows a unique pattern. Identify the missing number in the bottom-right corner:
| 2 4 6 8 |
| 3 5 7 9 |
| 4 6 8 10|
| 5 7 9 ? |
Solution:
Row Pattern: Each row increases by 2.
Column Pattern: Each column increases by 1.
Fourth Row: 5, 7, 9, 11 (next number in sequence).
Answer: 11.
Question 4: Blood Relation
Problem Statement:
If A is the sister of B, and B is the father of C, what is the relationship between A and C?
Solution:
A is B’s sister → A is female.
B is C’s father → C is B’s child.
Therefore, A is C’s aunt (female sibling of the parent).
Answer: A is C’s aunt.
Question 5: Time and Work
Problem Statement:
X can complete a task in 6 days, Y in 4 days, and Z in 3 days. How many days will they take if they work together?
Solution:
Work Rates:
X: ( \frac{1}{6} ) per day
Y: ( \frac{1}{4} ) per day
Z: ( \frac{1}{3} ) per day
Combined Rate:
[
\frac{1}{6} + \frac{1}{4} + \frac{1}{3} = \frac{2 + 3 + 4}{12} = \frac{9}{12} = \frac{3}{4} \text{ per day}
]
Time: ( \frac{1}{\frac{3}{4}} = \frac{4}{3} \text{ days} \approx 1.33 \text{ days} ).
Answer: ( \frac{4}{3} ) days (or 1 day and 8 hours).
Conclusion
Key Takeaways:
For graphical questions, focus on calculating differences/percentages.
In seating arrangements, map relationships step-by-step.
Matrix puzzles often rely on arithmetic sequences.
Time and work problems require reciprocal addition.
Prep Tip: Practice 20+ DILR questions daily to improve speed and logical flow.
Note: For exact CAT 2022 questions, refer to official answer keys or trusted prep platforms like Tetwise.
|
