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