CAT 2019 LRDI Slot 2: Indian Games Ranking (English Solution)
Question:
Rank the following Indian games based on their popularity (1 = most popular, 5 = least popular): Cricket, Football, Chess, Badminton, Hockey. Use the following clues:
Cricket is more popular than Football.
Chess is less popular than Badminton.
Hockey is the second most popular.
Football is more popular than Chess.
Badminton is not the least popular.
Solution:
Clue 3: Hockey is ranked 2nd.
Clue 1: Cricket > Football.
Clue 4: Football > Chess.
Clue 2: Chess < Badminton → Badminton > Chess.
Clue 5: Badminton ≠ 5th (not least popular).
Step-by-Step Deduction:
From Clue 3: Hockey = 2nd.
From Clue 1: Cricket must be 1st (since it’s more popular than Football).
Remaining positions: 3rd, 4th, 5th for Football, Badminton, Chess.
From Clue 4: Football > Chess → Football cannot be 5th.
From Clue 2: Badminton > Chess → Badminton cannot be 5th (Clue 5).
Thus, Chess = 5th (only remaining option).
Now, Badminton must be 3rd (since it > Chess and not 5th).
Finally, Football = 4th (remaining slot).
Final Ranking:
Cricket
Hockey
Badminton
Football
Chess
Explanation:
All clues are satisfied:
Cricket (1) > Football (4) > Chess (5).
Badminton (3) > Chess (5).
Hockey (2) is second.
Badminton is not last (5th).
Answer:
Cricket
Hockey
Badminton
Football
Chess
Key Takeaway:
Logical elimination and prioritizing fixed rankings (e.g., Hockey’s position) simplifies complex LRDI problems. Always map relationships explicitly (e.g., using inequalities or tables) to avoid contradictions.
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