Given: Ten persons – Q, R, S, T, U, V, W, X, Y and Z – work in a company.
Each of them belongs to one of the three different departments: Finance, Marketing, and Operations.
Each department has at least three persons, but not more than four persons.
- Q works in operations.
- Z works in the same department as S but doesn’t work in marketing.
- R and X doesn’t work in operations and both of them work in different departments.
- W and R work in the same department but not with S.
There are 3 cases i.e., Case 1, Case 2, and Case 3.
| Departments | Persons (Case 1) | Persons (Case 2) | Persons (Case 3) |
|---|
| Finance | Z, S, X | X | W, R |
| Marketing | W, R | W, R | X |
| Operations | Q | Z, S, Q | Z, S, Q |
- Y and V work in the same department.
- V doesn’t work in marketing.
- U doesn’t work in finance.
- Z and U work in different departments.
- W and U work in different departments.
- Not more than two persons works with U.
Case 2 is eliminated because there is no valid place for U.
Case 1 is eliminated because Y and V must be placed in Operations to avoid exceeding the maximum limit in Finance. This forces U into Marketing, which violates the condition that W and U work in different departments.
| Departments | Persons (Case 3) |
|---|
| Finance | Y, V, W, R |
| Marketing | X, U |
| Operations | Z, S, Q |
- S and T work in different departments. So, the final arrangement:
| Departments | Persons (Case 3) |
|---|
| Finance | Y, V, W, R |
| Marketing | X, U, T |
| Operations | Z, S, Q |
X, U and T work in the Marketing department.
Hence, the correct answer is ‘X, U, T’