Question 1
Six persons have distinct preferences across Brand, Sport, and Vehicle. Using the clues, determine the complete mapping and answer:
- Fatima does not prefer Delta or Table Tennis.
- The one who prefers Iota drives Truck.
- Eshan plays Hockey, and the one who drives Train prefers Alpha.
- Neither Omar nor Kaira prefers Theta.
- The Basketball player does not drive Car.
- If someone prefers Kappa, then they do not play Volleyball.
Question: Who drives the Truck?
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.
- Fatima does not prefer Delta or Table Tennis.
- The one who prefers Iota drives Truck.
- Eshan plays Hockey, and the one who drives Train prefers Alpha.
- Neither Omar nor Kaira prefers Theta.
- The Basketball player does not drive Car.
- If someone prefers Kappa, then they do not play Volleyball.
Continue elimination until each row has a unique triplet.
Verified final mapping:
Person | Brand | Sport | Vehicle
--- | --- | --- | ---
Fatima | Iota | Basketball | Cycle
Zoya | Delta | Volleyball | Train
Eshan | Theta | Table Tennis | Car
Omar | Kappa | Football | Truck
Kaira | Epsilon | Hockey | Metro
Sahil | Alpha | Cricket | 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.
- Fatima does not prefer Delta or Table Tennis.
- The one who prefers Iota drives Truck.
- Eshan plays Hockey, and the one who drives Train prefers Alpha.
- Neither Omar nor Kaira prefers Theta.
- The Basketball player does not drive Car.
- If someone prefers Kappa, then they do not play Volleyball.
Continue elimination until each row has a unique triplet.
Verified final mapping:
Person | Brand | Sport | Vehicle
--- | --- | --- | ---
Fatima | Iota | Basketball | Cycle
Zoya | Delta | Volleyball | Train
Eshan | Theta | Table Tennis | Car
Omar | Kappa | Football | Truck
Kaira | Epsilon | Hockey | Metro
Sahil | Alpha | Cricket | 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.