Here’s a structured English solution guide for the CMAT 2023 Slot 1 Question Paper, focusing on common "game-based" questions typically found in logical reasoning and quantitative sections:
CMAT 2023 Slot 1 Question Paper: Game-Based Solutions
Section 1: Quantitative Ability
Problem 1: Arrangement of Players in a Circle
Question: 8 players (A, B, C, D, E, F, G, H) are seated in a circle. A and E are opposite each other. B sits between C and D. G is next to H. How many possible arrangements are there?
Solution:
Fix A’s position. E is fixed opposite.
B must be between C and D (2 possible orders: B-C-D or B-D-C).
G and H can be placed in 2 remaining seats (clockwise/counter-clockwise).
Total arrangements = 2 (B/C/D) × 2 (G/H) = 4.
Problem 2: Probability with Card Games
Question: A deck of 52 cards. What is the probability of drawing two hearts followed by a king?
Solution:
Probability = (13/52) × (12/51) × (4/50) = (1/4) × (12/51) × (2/25) = 1/425.
Section 2: Logical Reasoning
3. Problem 3: Scheduling Conferences
Question: 5 scientists (P, Q, R, S, T) must present papers in 5 time slots. P cannot present after Q. R must present before S. How many valid schedules?
Solution:
Total permutations = 5! = 120.
Subtract invalid schedules where P > Q. Valid cases = 120 × (1/2) = 60.
Apply R < S constraint: Valid cases = 60 × (1/2) = 30.
Problem 4: Coding-Decoding Game
Question: Code: A=5, B=3, C=7, D=2, E=9. Decode "G8K12".
Solution:
Convert letters to numbers: G=7, K=11, 12 remains.
Original letters: 7, 11, 12 → Letters with values closest to these: C (7), L (12), M (13) → CLM.
Section 3: Verbal Ability
5. Problem 5: Analogies in a Puzzle
Question: If "Book : Page" is to "Map : ?"
Solution:
Relationship: Container to Component.
Answer: Section (Map is divided into sections).
Problem 6: Data Interpretation (Game Scores)
Question: Table shows scores of 5 teams in 3 seasons. Which team improved the most percentage-wise?
Solution:
Calculate % increase:
Team A: (90-60)/60 = 50%
Team B: (120-80)/80 = 50%
Team C: (150-100)/100 = 50%
Team D: (180-120)/120 = 50%
Team E: (200-150)/150 = 33.3%
Answer: A, B, C, D (tie).
Key Tips for Game-Based Questions
Break Down Constraints: List all rules (e.g., "X cannot be after Y").
Visual Aids: Use diagrams for seating/arrangements.
Combinatorics Shortcuts: Use permutations (nPr) and combinations (nCr).
Time Management: Allocate 2-3 minutes per question in the Logical Section.
Let me know if you need further clarification on specific questions!
|
