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 Zeta drives Ship.
- Fatima plays Cricket, and the one who drives Bus prefers Beta.
- Neither Yash nor Vihaan prefers Delta.
- The Tennis player does not drive Train.
- If someone prefers Eta, then they do not play Athletics.
Question: Who prefers the brand Beta?
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 Zeta drives Ship.
- Fatima plays Cricket, and the one who drives Bus prefers Beta.
- Neither Yash nor Vihaan prefers Delta.
- The Tennis player does not drive Train.
- If someone prefers Eta, then they do not play Athletics.
Continue elimination until each row has a unique triplet.
Verified final mapping:
Person | Brand | Sport | Vehicle
--- | --- | --- | ---
Diya | Zeta | Tennis | Metro
Qadir | Alpha | Athletics | Bus
Fatima | Delta | Volleyball | Train
Yash | Eta | Basketball | Ship
Vihaan | Epsilon | Cricket | Van
Gaurav | Beta | Chess | Cycle
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 Zeta drives Ship.
- Fatima plays Cricket, and the one who drives Bus prefers Beta.
- Neither Yash nor Vihaan prefers Delta.
- The Tennis player does not drive Train.
- If someone prefers Eta, then they do not play Athletics.
Continue elimination until each row has a unique triplet.
Verified final mapping:
Person | Brand | Sport | Vehicle
--- | --- | --- | ---
Diya | Zeta | Tennis | Metro
Qadir | Alpha | Athletics | Bus
Fatima | Delta | Volleyball | Train
Yash | Eta | Basketball | Ship
Vihaan | Epsilon | Cricket | Van
Gaurav | Beta | Chess | Cycle
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.