Title: CAT 2023 Slot 2 LRDI (Logical Reasoning Data Interpretation) Questions and Answers
Question 1:
The following table shows the sales of four products (A, B, C, and D) in different regions. Answer the following questions based on the data:
Region
Product A
Product B
Product C
Product D
North
120
150
100
130
South
80
90
110
100
East
90
80
90
120
West
100
70
80
110
What is the total sales of Product A in all regions combined?
In which region is the sales of Product C more than the sales of Product D?
What is the average sales of all products in the East region?
Answers:
Total sales of Product A = 120 + 80 + 90 + 100 = 390
In the North region, the sales of Product C (100) are more than the sales of Product D (130).
Average sales of all products in the East region = (90 + 80 + 90 + 120) / 4 = 450 / 4 = 112.5
Question 2:
A survey was conducted to find out the favorite color of 200 students. The following table shows the number of students who chose each color:
Color
Number of Students
Red
40
Blue
50
Green
60
Yellow
30
Purple
20
What percentage of students chose Blue as their favorite color?
If 10% of the students chose Purple as their favorite color, how many students did that represent?
Which color had the highest percentage of students choosing it?
Answers:
Percentage of students who chose Blue = (50 / 200) * 100 = 25%
10% of 200 students = 20 students
Green had the highest percentage of students choosing it, which is 60%.
Question 3:
The following pie charts show the distribution of students by gender and by year of admission to a university. Answer the following questions based on the data:
Pie Chart 1: Distribution of students by gender
Male: 60%
Female: 40%
Pie Chart 2: Distribution of students by year of admission
Year 2019: 20%
Year 2020: 30%
Year 2021: 50%
If there are 1000 students in the university, how many are males?
In which year was the largest percentage of students admitted?
What is the probability that a randomly selected student is a female who was admitted in 2020?
Answers:
Number of males = 60% of 1000 = 600
The largest percentage of students was admitted in the year 2021, with 50%.
Probability of selecting a female admitted in 2020 = (40% * 30%) = 12%
Title: CAT 2023 Slot 2 LRDI Analysis and Solutions
Content: Strategic Approaches to Logic, Reasoning, Data Interpretation, and Data Analysis (LRDI)
CAT 2023 Slot 2 (Logical Reasoning, Data Interpretation, and Data Analysis) tests candidates on analytical and problem-solving skills. Below is a breakdown of key LRDI trends, solved examples, and tips for acing this section.
1. Logical Reasoning (LR)
Key Topics:
Blood Relations
Seating Arrangements
Puzzles (Alphabetical/Clockwise/Matrix)
Binary Logic and Venn Diagrams
Example Problem:
“Six friends—A, B, C, D, E, F—sit around a circular table. A sits opposite C. B is next to E but not adjacent to D. F is seated between two people whose names start with the same letter. Who sits opposite F?”
Solution:
Positioning: Place A and C opposite each other.
Adjacency Rules: B must be next to E but not D. Possible placements: B-E or E-B.
F’s Constraint: F is between two names starting with the same letter. The only pair is D and E (D-E or E-D).
If F is between D and E, then the arrangement (clockwise): A, D, F, E, B, C.
Opposite F: B.
Answer: B
2. Data Interpretation (DI)
Key Topics:
Table/Graph Reading
Caselet Analysis
Mixed Graphs (Bar-Circle/Line-Table)
Example Problem:
“A survey of 200 students tracks their preferences for Math (M), Physics (P), Chemistry (C), and Biology (B). The data is presented in a table. If 50 students like only Math and Physics, 30 like only Physics and Chemistry, and 20 like only Chemistry and Biology, how many students like at least two subjects?”
Solution:
Union Formula: Total students liking ≥2 subjects = Sum of all pairwise intersections – 3×Triple intersections + 4×All four.
Given: Only M∩P = 50, P∩C = 30, C∩B = 20. Assume no triplets or quadruplets for simplicity.
Total = 50 + 30 + 20 + ... (other pairs).
If other pairs (M∩C, M∩B, P∩B) are zero, total = 100.
Answer: 100 (with assumptions; actual calculation requires full table data).
3. Data Analysis (DA)
Key Topics:
Caselets with Calculations
Assumption-Based Questions
Example Problem:
“A company sells 4 products (X, Y, Z, W) in Q1 and Q2. In Q1, X contributed 25% of revenue; Y and Z contributed equally. In Q2, W’s revenue doubled, and total revenue increased by 15%. If Y’s revenue in Q2 was Rs. 12 lakh, find Q1 revenue for X.”
Solution:
Q1: Let total revenue = R.
X = 0.25R, Y = Z = 0.175R (since Y + Z = 0.5R).
Q2: W’s revenue = 2W_Q1. Total revenue = 1.15R.
Y’s Q2 Revenue: Given as Rs. 12 lakh. Assume Y’s revenue stayed constant: 0.175R = 12 → R = 12/0.175 = 68.57 lakh.
Answer: X’s Q1 revenue = 0.25 × 68.57 ≈ 17.14 lakh.
4.备考策略 (Preparation Tips)
Speed Practice: Use timed LR/DI sets (e.g., 30 mins for 8 questions).
Visual Tools: Master Venn diagrams, matrices, and flowcharts for LR.
Caselet Mastery: Solve 2-3 caselets daily to improve comprehension.
Data Sufficiency: Focus on questions where 1-2 statements are sufficient (CAT often tests this).
Final Notes
CAT 2023 Slot 2 emphasized structured LR and integrated DI-DA questions. Strengthen weak areas like binary logic and assumption-based puzzles. For official resources, refer to CAT 2023 mock tests and IIM study materials.
Good luck! 🚀
Note: Replace hypothetical values (e.g., Rs. 12 lakh) with actual problem data for precise solutions.
|
