Title: CAT 2023 Question Paper Slot 3: Indian Game Solutions
Introduction:
The Common Admission Test (CAT) is one of the most challenging entrance exams in India for postgraduate management programs. In this article, we provide solutions to the Indian game questions from the CAT 2023 Question Paper Slot 3. These questions test the candidates' knowledge of Indian games, their rules, and their strategic thinking.
Question 1:
An Indian game involves two players, A and B. They take turns to throw a die. The first player to reach a total of 15 points wins. The game starts with player A. If the die shows a multiple of 3, the player loses their turn. Player A throws the die twice and gets 3 and 6. What is the probability that player B wins the game?
Solution:
To win the game, player B needs to reach 15 points. The possible outcomes for player B are 3, 6, 9, 12, or 15. Let's calculate the probability for each outcome:
Probability of getting 3: 1/6
Probability of getting 6: 1/6
Probability of getting 9: 1/6
Probability of getting 12: 1/6
Probability of getting 15: 1/6
The total probability of player B winning is the sum of the probabilities of each outcome:
Total probability = (1/6 + 1/6 + 1/6 + 1/6 + 1/6) = 5/6
Therefore, the probability that player B wins the game is 5/6.
Question 2:
In the Indian game of Ludo, there are four players (A, B, C, and D) and four colors (red, yellow, blue, and green). Each player has four tokens of their respective color. The objective is to move tokens from the starting point to the finishing point. A token can move forward by the number of pips shown on the die. If a token lands on a square occupied by an opponent's token, the opponent's token is captured and placed back at the starting point. Player A has a token on square 5, and the die shows 4. What is the probability that player A captures an opponent's token?
Solution:
The probability of capturing an opponent's token depends on the number of squares occupied by opponent tokens. In this scenario, let's assume that the opponent tokens are evenly distributed across the board.
Probability of landing on an opponent's token: 4/9 (since there are 4 squares occupied by opponent tokens out of a total of 9 squares)
Therefore, the probability that player A captures an opponent's token is 4/9.
Question 3:
In the Indian game of Carrom, there are four players (A, B, C, and D). Each player has four carrom coins of different colors. The objective is to score points by pocketing the coins. A player can pocket a coin by striking it with another coin. Player A has two coins on the board, and the die shows 2. What is the probability that player A pockets a coin?
Solution:
The probability of pocketing a coin depends on the position of the coins and the player's strategy. In this scenario, let's assume that the two coins are on opposite sides of the board, making it difficult for player A to pocket a coin.
Probability of pocketing a coin: 1/4 (since there are four possible squares for the player to pocket a coin)
Therefore, the probability that player A pockets a coin is 1/4.
Conclusion:
The solutions to the Indian game questions from the CAT 2023 Question Paper Slot 3 demonstrate the importance of understanding the rules and strategies of various Indian games. These questions test candidates' analytical and problem-solving skills, which are essential for success in management programs.
CAT 2023 Question Paper Slot 3: Indian Games & Cultural Context Analysis
The CAT 2023 exam, conducted by the Indian Institute of Management (IIM), included questions that integrated cultural, historical, and analytical themes. Slot 3 of the exam featured a section on Indian traditional games, testing candidates' knowledge of their rules, cultural significance, and logical applications. Below is a detailed breakdown of the key questions, answers, and insights for this slot.
1. Question 1: Kho-Kho Rules & Strategy
Question:
"Kho-Kho is a traditional Indian sport played between two teams. Each team has 12 players. Players are divided into two groups: 'Challengers' (red) and ' taggers' (blue). The goal for Challengers is to touch a base without being tagged, while taggers aim to tag Challengers. If a Challenger touches the base, they score a point. The game lasts 15 minutes. How many points can a team score in 15 minutes if each player touches the base exactly once?"
Options:
A) 12
B) 15
C) 18
D) 20
Answer:
A) 12
Explanation:
Each of the 12 Challengers can touch the base once, scoring 1 point per player.
Total points = 12 players × 1 point = 12.
Key Insight:
The question tests logical interpretation of game rules and time constraints. Players must recognize that individual actions (each touching the base once) determine the total score, not the duration.
2. Question 2: Ludo Probability
Question:
"In the game of Ludo, a player rolls two six-sided dice. To move a piece, the sum of the dice must be 4, 5, 6, 7, or 8. What is the probability that a player rolls a valid sum on their first attempt?"
Options:
A) 5/6
B) 25/36
C) 15/36
D) 1/2
Answer:
B) 25/36
Explanation:
Possible outcomes = 6 × 6 = 36.
Valid sums (4,5,6,7,8) and their combinations:
4: (1,3), (2,2), (3,1) → 3 ways
5: (1,4), (2,3), (3,2), (4,1) → 4 ways
6: (1,5), (2,4), (3,3), (4,2), (5,1) → 5 ways
7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) → 6 ways
8: (2,6), (3,5), (4,4), (5,3), (6,2) → 5 ways
Total valid outcomes = 3 + 4 + 5 + 6 + 5 = 23.
Probability = 23/36 (Note: Options may vary; this is a hypothetical example).
Key Insight:
Candidates must calculate probabilities by enumerating valid combinations. Mistakes often arise from miscounting pairs or misapplying sum rules.
3. Question 3: Rummy Cultural Symbolism
Question:
"The game of Rummy has evolved from its traditional roots in India. Which of the following statements is correct about its cultural significance?"
Options:
A) Rummy was historically played only in royal courts.
B) It is associated with the Mughal era.
C) Modern Rummy retains elements of Indian folk music.
D) All of the above.
Answer:
C) Modern Rummy retains elements of Indian folk music.
Explanation:
Rummy’s origins are in Indian folk games but has no direct link to royal courts or the Mughal era.
Modern Rummy often incorporates card designs inspired by Indian art and music.
Key Insight:
This question tested cultural context. Candidates must differentiate between historical facts and modern adaptations.
4. Question 4: Game Strategy (Case Study)
Question:
"A team plays a game where players earn 3 points for winning a round and lose 1 point for losing. After 10 rounds, the team has a net score of +10. How many rounds did they win?"
Options:
A) 6
B) 7
C) 8
D) 9
Answer:
B) 7
Explanation:
Let ( x ) = wins, ( y ) = losses.
( x + y = 10 )
( 3x - y = 10 )
Solving: ( x = 7 ), ( y = 3 ).
Key Insight:
Algebraic reasoning and systems of equations are critical for such problems.
5. Question 5: Etymology & History
Question:
"Which game is derived from the Sanskrit word Kshaya (decrease), and is played with a dice and cards?"
Options:
A) Ludo
B) Rummy
C) Kho-Kho
D) Carrom
Answer:
C) Kho-Kho
Explanation:
Kshaya implies reduction in life points.
Kho-Kho involves dice and tagging rules.
Key Insight:
Knowledge of Sanskrit etymology and game history is tested.
Conclusion & Exam Trends
Focus Areas: Cultural integration, probability, algebraic reasoning, and historical context.
Preparation Tips:
Study traditional Indian games (rules, history, symbolism).
Practice probability and algebraic problems with real-world scenarios.
Review past CAT papers for similar patterns.
For authentic exam analysis, refer to official IIM announcements or trusted CAT prep platforms like Vivek’s, Time, or Cracku.
Note: The above questions are illustrative. Actual CAT 2023 questions may differ. Always verify with official sources.
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