Which of the following persons definitely works with L?
- AOption (a)
A
- BOption (b)
N
- COption (c)
V
- DOption (d)
Q
- EOption (e)
W
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Correct answer
V
Why this answer is correct
Given: Nine individuals, A, C, L, M, N, Q, T, V, and W, are employed in three different departments: Research, Logistics, and Finance, but not necessarily in the same order. Each department has at least two but not more than four people.
- A does not work in the Finance department. 2. Both W and A work in the same department, but not with V.
Here, we have 2 Cases, i.e., Case 1 and Case 2.
| Departments | Persons | |
|---|---|---|
| Case 1 | Case 2 | |
| Research | W, A | |
| Logistics | W, A | |
| Finance |
3. T does not work in the Research department.
Here, we have subcases of Case 1 and Case 2.
| Departments | Persons | |||
|---|---|---|---|---|
| Case 1 | Case 1a | Case 2 | Case 2a | |
| Research | W, A | W, A | ||
| Logistics | T | W, A, T | W, A | |
| Finance | T | T |
4. N works only with M.
Here, we have a subcase of Case 2, i.e., Case 2 (i).
| Departments | Persons | ||||
|---|---|---|---|---|---|
| Case 1 | Case 1a | Case 2 | Case 2 (i) | Case 2a | |
| Research | W, A | W, A | N, M | N, M | |
| Logistics | T | N, M | W, A, T | W, A, T | W, A |
| Finance | N, M | T | N, M | T |
5. L and C are in the same department. 6. C does not work in the same department as T.
| Departments | Persons | ||||
|---|---|---|---|---|---|
| Case 1 | Case 1a | Case 2 | Case 2 (i) | Case 2a | |
| Research | W, A, L, C | W, A, L, C | L, C | N, M | N, M |
| Logistics | T | N, M | W, A, T | W, A, T | W, A, L, C |
| Finance | N, M | T | N, M | L, C | T |
7. Not more than three people can work in the Research department.
Now, we can eliminate Case 1 and Case 1a.
| Departments | Persons | ||
|---|---|---|---|
| Case 2 | Case 2 (i) | Case 2a | |
| Research | L, C | N, M | N, M |
| Logistics | W, A, T | W, A, T | W, A, L, C |
| Finance | N, M | L, C | T |
8. Q does not work in the same department as L.
| Departments | Persons | ||
|---|---|---|---|
| Case 2 | Case 2 (i) | Case 2a | |
| Research | L, C | N, M | N, M |
| Logistics | W, A, T, Q | W, A, T, Q | W, A, L, C |
| Finance | N, M | L, C | T, Q |
- V does not work in the Finance department. 10. Each department has at least two but not more than four people.
Now, we can eliminate Case 2 (i) and Case 2a.
This is our final arrangement,
| Departments | Persons |
|---|---|
| Case 2 | |
| Research | L, C, V |
| Logistics | W, A, T, Q |
| Finance | N, M |
Hence, the correct answer is V.