Question 1
Six persons have distinct preferences across Brand, Sport, and Vehicle. Using the clues, determine the complete mapping and answer:
- Hina does not prefer Iota or Volleyball.
- The one who prefers Epsilon drives Van.
- Eshan plays Athletics, and the one who drives Ship prefers Kappa.
- Neither Xavier nor Gaurav prefers Theta.
- The Basketball player does not drive Metro.
- If someone prefers Beta, then they do not play Badminton.
Question: Who drives the Bike?
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.
- Hina does not prefer Iota or Volleyball.
- The one who prefers Epsilon drives Van.
- Eshan plays Athletics, and the one who drives Ship prefers Kappa.
- Neither Xavier nor Gaurav prefers Theta.
- The Basketball player does not drive Metro.
- If someone prefers Beta, then they do not play Badminton.
Continue elimination until each row has a unique triplet.
Verified final mapping:
Person | Brand | Sport | Vehicle
--- | --- | --- | ---
Hina | Epsilon | Basketball | Truck
Priya | Iota | Badminton | Ship
Eshan | Theta | Volleyball | Metro
Xavier | Beta | Cricket | Van
Gaurav | Delta | Athletics | Bike
Vihaan | Kappa | Chess | Bus
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.
- Hina does not prefer Iota or Volleyball.
- The one who prefers Epsilon drives Van.
- Eshan plays Athletics, and the one who drives Ship prefers Kappa.
- Neither Xavier nor Gaurav prefers Theta.
- The Basketball player does not drive Metro.
- If someone prefers Beta, then they do not play Badminton.
Continue elimination until each row has a unique triplet.
Verified final mapping:
Person | Brand | Sport | Vehicle
--- | --- | --- | ---
Hina | Epsilon | Basketball | Truck
Priya | Iota | Badminton | Ship
Eshan | Theta | Volleyball | Metro
Xavier | Beta | Cricket | Van
Gaurav | Delta | Athletics | Bike
Vihaan | Kappa | Chess | Bus
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.