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 Gamma or Badminton.
- The one who prefers Theta drives Car.
- Ira plays Tennis, and the one who drives Train prefers Eta.
- Neither Cyrus nor Gaurav prefers Iota.
- The Football player does not drive Scooter.
- If someone prefers Zeta, then they do not play Athletics.
Question: Who plays Athletics?
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 Gamma or Badminton.
- The one who prefers Theta drives Car.
- Ira plays Tennis, and the one who drives Train prefers Eta.
- Neither Cyrus nor Gaurav prefers Iota.
- The Football player does not drive Scooter.
- If someone prefers Zeta, then they do not play Athletics.
Continue elimination until each row has a unique triplet.
Verified final mapping:
Person | Brand | Sport | Vehicle
--- | --- | --- | ---
Hina | Theta | Football | Metro
Nihal | Gamma | Athletics | Train
Ira | Iota | Badminton | Scooter
Cyrus | Zeta | Table Tennis | Car
Gaurav | Epsilon | Tennis | Cycle
Wafa | Eta | Volleyball | Bike
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 Gamma or Badminton.
- The one who prefers Theta drives Car.
- Ira plays Tennis, and the one who drives Train prefers Eta.
- Neither Cyrus nor Gaurav prefers Iota.
- The Football player does not drive Scooter.
- If someone prefers Zeta, then they do not play Athletics.
Continue elimination until each row has a unique triplet.
Verified final mapping:
Person | Brand | Sport | Vehicle
--- | --- | --- | ---
Hina | Theta | Football | Metro
Nihal | Gamma | Athletics | Train
Ira | Iota | Badminton | Scooter
Cyrus | Zeta | Table Tennis | Car
Gaurav | Epsilon | Tennis | Cycle
Wafa | Eta | Volleyball | Bike
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.