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