Title: 2018 Slot 1 QA - Indian Games Question and Answer (English)
Section 1: Logical Reasoning
Q1: A game is played with 16 coins arranged in a 4x4 grid. Players take turns removing coins from the grid, but they cannot remove a coin adjacent to one already removed. The player who cannot make a move loses. What is the winning strategy for the first player?
A1: The first player should remove the coin from the center of the grid. This splits the grid into four symmetrical quadrants. By mirroring the second player’s moves in the opposite quadrant, the first player ensures they always have a move, forcing the second player to lose.
Q2: In a card game, two players draw two cards each from a deck of 12 cards (values 1–6, two suits). The higher total wins. If the first player draws 3 and 5, what is the probability that the second player wins?
A2:
Second player’s possible totals: 2–12.
Total combinations: ( \binom{12}{2} = 66 ).
Winning totals: 6–12 (excluding 8, 9, 10, 11, 12).
Favorable combinations: ( \binom{5}{2} + 5 \times 2 = 10 + 10 = 20 ).
Probability: ( \frac{20}{66} \approx 30.3% ).
Section 2: Cultural & Historical Knowledge
Q3: Which traditional Indian game is known as the "national game of India," and what are its origins?
A3: The national game of India is Kabaddi, a team sport dating back over 2,000 years. It originated in ancient India and is played in states like Maharashtra and West Bengal.
Q4: In the game of Ludo, what is the significance of the "double six" die roll?
A4: Rolling a "double six" allows a player to roll again immediately. If they roll another double, they can continue, potentially moving all the way to the finish.
Section 3: Math & Strategy
Q5: In a tournament with 8 teams, each round halves the number of teams. How many matches are played in total?
A5:
Round 1: 4 matches → 4 teams remain.
Round 2: 2 matches → 2 teams remain.
Round 3: 1 match → 1 champion.
Total matches: ( 4 + 2 + 1 = 7 ).
Q6: A dice game uses two 6-sided dice. The player wins if the sum is prime. What is the probability of winning?
A6:
Prime sums: 2, 3, 5, 7, 11.
Favorable outcomes: 2 (1+1), 3 (1+2, 2+1), 5 (1+4, 2+3, 3+2, 4+1), 7 (1+6, 2+5, ..., 6+1), 11 (5+6, 6+5).
Total: ( 2 + 4 + 4 + 6 + 2 = 18 ).
Probability: ( \frac{18}{36} = 50% ).
Section 4: Critical Thinking
Q7: Why do Indian traditional games like Kho Kho emphasize teamwork over individual skill?
A7: Kho Kho is a contact sport requiring precise coordination between two teams of 12 players. Its rules prioritize collective strategy and communication to outmaneuver opponents.
Q8: If a game costs ₹10 to play and the prize is ₹50, what is the expected value (EV) for a player with a 20% win probability?
A8:
EV = (Probability of Win × Prize) - (Probability of Loss × Cost)
EV = ( (0.2 \times 50) - (0.8 \times 10) = 10 - 8 = ₹2 ).
Conclusion
These questions test logical deduction, cultural awareness, and mathematical modeling. For deeper practice, explore resources like NCERT Social Studies (Class 8) for traditional games or Quantitative Aptitude for CAT for strategy. Let me know if you need further clarification!
Note: This is a simulated QA based on common Indian exam patterns. Adjustments may be needed for specific test formats.
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