Question 1
Six persons have distinct preferences across Brand, Sport, and Vehicle. Using the clues, determine the complete mapping and answer:
- Fatima does not prefer Iota or Hockey.
- The one who prefers Delta drives Truck.
- Eshan plays Chess, and the one who drives Train prefers Alpha.
- Neither Tara nor Gaurav prefers Eta.
- The Badminton player does not drive Cycle.
- If someone prefers Gamma, then they do not play Cricket.
Question: Who plays Badminton?
CAT/GMAT-Style Multi-Parameter Table
Create a 6x4 table (Person x Brand x Sport x Vehicle).
Apply constraints in layers: negative exclusions first, then direct mappings, then conditional implications.
- Fatima does not prefer Iota or Hockey.
- The one who prefers Delta drives Truck.
- Eshan plays Chess, and the one who drives Train prefers Alpha.
- Neither Tara nor Gaurav prefers Eta.
- The Badminton player does not drive Cycle.
- If someone prefers Gamma, then they do not play Cricket.
Continue elimination until each row has a unique triplet.
Verified final mapping:
Person | Brand | Sport | Vehicle
--- | --- | --- | ---
Fatima | Delta | Badminton | Ship
Yash | Iota | Cricket | Train
Eshan | Eta | Hockey | Cycle
Tara | Gamma | Tennis | Truck
Gaurav | Theta | Chess | Van
Ira | Alpha | Table Tennis | Car
Efficiency tip: Track constraints per attribute as sets; propagate implications ('If A then not B').
Verification:
- Each attribute used exactly once across persons.
- All conditional and negative clues hold.
- No contradictions; unique solution obtained.
Create a 6x4 table (Person x Brand x Sport x Vehicle).
Apply constraints in layers: negative exclusions first, then direct mappings, then conditional implications.
- Fatima does not prefer Iota or Hockey.
- The one who prefers Delta drives Truck.
- Eshan plays Chess, and the one who drives Train prefers Alpha.
- Neither Tara nor Gaurav prefers Eta.
- The Badminton player does not drive Cycle.
- If someone prefers Gamma, then they do not play Cricket.
Continue elimination until each row has a unique triplet.
Verified final mapping:
Person | Brand | Sport | Vehicle
--- | --- | --- | ---
Fatima | Delta | Badminton | Ship
Yash | Iota | Cricket | Train
Eshan | Eta | Hockey | Cycle
Tara | Gamma | Tennis | Truck
Gaurav | Theta | Chess | Van
Ira | Alpha | Table Tennis | Car
Efficiency tip: Track constraints per attribute as sets; propagate implications ('If A then not B').
Verification:
- Each attribute used exactly once across persons.
- All conditional and negative clues hold.
- No contradictions; unique solution obtained.