Question 1
Nine distinct persons are arranged in a 3x3 matrix; each cell has exactly one person with a unique color.
- The center cell is occupied by Vihaan who likes Purple.
- Diya sits opposite Ira on the grid edges.
- Gaurav is at a corner and does not like White.
- Rhea is adjacent to Gaurav.
Question: In a 3x3 grid (rows and columns numbered 1 to 3), who occupies the cell at row 1, column 1?
Matrix/Spreadsheet Strategy
Label the grid with coordinates (r,c). Use definite placement clues (center, corners, opposites, adjacency) first.
Convert verbal relations to coordinate constraints and eliminate inconsistent options.
A consistent placement is:
C1 | C2 | C3
--- | --- | ---
Gaurav/Black | Rhea/Blue | Fatima/Orange
Ira/White | Vihaan/Purple | Diya/Pink
Kaira/Green | Tara/Red | Xavier/Yellow
Verification:
- Center, opposite, and corner constraints satisfied.
- Adjacency satisfied by orthogonal neighbors.
- Each person/color used exactly once.
Label the grid with coordinates (r,c). Use definite placement clues (center, corners, opposites, adjacency) first.
Convert verbal relations to coordinate constraints and eliminate inconsistent options.
A consistent placement is:
C1 | C2 | C3
--- | --- | ---
Gaurav/Black | Rhea/Blue | Fatima/Orange
Ira/White | Vihaan/Purple | Diya/Pink
Kaira/Green | Tara/Red | Xavier/Yellow
Verification:
- Center, opposite, and corner constraints satisfied.
- Adjacency satisfied by orthogonal neighbors.
- Each person/color used exactly once.