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 Bhavya who likes Black.
- Omar sits opposite Sahil on the grid edges.
- Fatima is at a corner and does not like Purple.
- Uma is adjacent to Yash.
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
--- | --- | ---
Priya/Yellow | Uma/Green | Yash/Brown
Sahil/Purple | Bhavya/Black | Omar/White
Fatima/Red | Xavier/Pink | Nihal/Orange
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
--- | --- | ---
Priya/Yellow | Uma/Green | Yash/Brown
Sahil/Purple | Bhavya/Black | Omar/White
Fatima/Red | Xavier/Pink | Nihal/Orange
Verification:
- Center, opposite, and corner constraints satisfied.
- Adjacency satisfied by orthogonal neighbors.
- Each person/color used exactly once.