Title: CAT 2022 Slot 3 Mock Test Answers - Indian Game Edition
Question: What is the total number of tiles required to make a 4x4 square using tiles of size 2x2?
Answer: To make a 4x4 square, you would need 16 tiles of size 2x2, as each tile covers an area of 4 square units (2x2), and the square itself has an area of 16 square units (4x4).
Question: In a game of Snakes and Ladders, what is the highest number on the ladder?
Answer: The highest number on a standard Snakes and Ladders game board is 100.
Question: If you roll a fair six-sided die twice, what is the probability of getting a sum of 7?
Answer: There are 36 possible outcomes when rolling a six-sided die twice. The pairs that sum to 7 are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1). So, there are 6 favorable outcomes. The probability is 6 favorable outcomes out of 36, which simplifies to 1/6.
Question: In the game of Rummy, how many cards are dealt to each player initially?
Answer: In a standard game of Rummy, each player is dealt 11 cards initially.
Question: What is the objective of the game of Carrom?
Answer: The objective of the game of Carrom is to score points by pocketing a set of four colored coins (black, white, red, and yellow) and the queen coin. The game is played on a square board with a circular playing area called the carrom board.
Question: In a game of Chess, how many pieces does each player start with?
Answer: Each player starts with 16 pieces in a game of Chess, including one king, one queen, two rooks, two knights, two bishops, and eight pawns.
Question: In the Indian game of Pachisi, how many rounds are typically played in a game?
Answer: In the traditional Indian game of Pachisi, also known as Ludo, a game is typically played over 10 rounds, but the exact number of rounds can vary depending on the rules being followed.
Question: What is the highest scoring card in the Indian card game of Rummy?
Answer: In Rummy, the highest scoring card is the Ace, which is worth 10 points. However, if an Ace is played as a face card, it is worth 15 points.
Question: In the game of Chess, which piece can only move in a diagonal direction?
Answer: In Chess, the bishop is the piece that can only move in a diagonal direction.
Question: In the Indian game of Carrom, which coin is worth the most points?
Answer: In Carrom, the queen coin is worth the most points, typically 20 points, depending on the variant of the game being played.
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CAT 2022 Slot 3 Mock: Sample Game-related Questions and Solutions
Here are three sample game-related questions from the CAT 2022 Slot 3 mock exam, followed by detailed solutions in English:
Question 1: Logical Arrangement
A group of 6 friends—A, B, C, D, E, and F—play a game where they stand in a circle. Each person holds a different number of tokens (1 to 6). The following rules apply:
A is between B and C.
D is next to E but not next to F.
The person with 6 tokens is between the ones with 1 and 2 tokens.
B has more tokens than C.
Task: Determine the order of friends and their token counts.
Solution:
Rule 3 implies the sequence: 1-6-2 or 2-6-1.
Rule 1 places A between B and C. Possible arrangements:
B-A-C or C-A-B.
Rule 4 (B > C) eliminates C-A-B. Thus, B-A-C.
Rule 2 (D-E not adjacent to F) requires D and E to be together, with F separated.
Combining sequences:
If 1-6-2 is part of the circle, the remaining tokens (3,4,5) must fit.
Assign D-E to positions adjacent to F.
Final order (clockwise): B(3)-A(6)-C(2)-D(5)-E(1)-F(4).
Answer:
Order (clockwise): B(3), A(6), C(2), D(5), E(1), F(4).
Question 2: Game Strategy
In a card game, players draw 3 cards from a deck of 12 (values 1-12). A player wins if their cards sum to 20. What is the probability that a player draws two cards with values summing to 8, and the third card is 12?
Solution:
Total ways to draw 3 cards: ( \binom{12}{3} = 220 ).
Valid combinations:
Two cards sum to 8: Possible pairs are (1,7), (2,6), (3,5), (4,4).
Exclude duplicates (4,4) since there’s only one 4.
Valid pairs: 3 (1,7), 3 (2,6), 3 (3,5) → 9 valid pairs.
Third card must be 12: For each valid pair, only 1 card (12) remains.
Total favorable outcomes: ( 9 \times 1 = 9 ).
Probability: ( \frac{9}{220} \approx 0.0409 ).
Answer:
Probability = ( \frac{9}{220} ).
Question 3: Pattern Recognition
A board has 9 squares arranged in a 3x3 grid. Each square is colored red or blue. The game ends when three squares of the same color form a straight line (horizontal, vertical, or diagonal). What is the minimum number of moves required to guarantee a win?
Solution:
Optimal strategy: Force the opponent into a losing position.
Key moves:
Place the first move in the center (most impactful position).
Block all potential lines for the opponent.
Proof by contradiction:
If the first player takes the center, the second player can only block two lines.
By the third move, the first player can create two unblockable lines.
Conclusion: Minimum moves required = 5.
Answer:
Minimum moves to guarantee a win = 5.
Key Takeaways for CAT备考:
Game Problems often involve logical deduction, combinatorics, and pattern recognition.
Time Management: Allocate 2-3 minutes per question.
Practice Variations: Focus on seating arrangements, probability, and strategy-based games.
Let me know if you need more examples! 🎯
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