Nine employees work in three departments — Operations, Finance, and Marketing — of a company. On the meeting day, each wears a different colored shirt: white, blue, green, orange, red, black, purple, pink, and violet. The following conditions apply:

- Employees in Operations do not wear orange or black.
- T works only with the person wearing green but is not in Marketing.
- R wears white and works with G but is not in Marketing.
- Only the employees wearing red and black work together in the same department.
- B works with E, and neither wears black.
- A does not work in Operations but wears violet.
- M neither works in Finance nor with the person wearing red.
- The person wearing purple does not work in Finance.
- G and D do not wear red or orange.
- H does not work with E, who does not wear blue or orange.

**Question:** Who among the following wears the black shirt?

Question

Nine employees work in three departments — Operations, Finance, and Marketing — of a company. On the meeting day, each wears a different colored shirt: white, blue, green, orange, red, black, purple, pink, and violet. The following conditions apply:

- Employees in Operations do not wear orange or black.
- T works only with the person wearing green but is not in Marketing.
- R wears white and works with G but is not in Marketing.
- Only the employees wearing red and black work together in the same department.
- B works with E, and neither wears black.
- A does not work in Operations but wears violet.
- M neither works in Finance nor with the person wearing red.
- The person wearing purple does not work in Finance.
- G and D do not wear red or orange.
- H does not work with E, who does not wear blue or orange.

**Question:** Who among the following wears the black shirt?

Accepted Answer

**Solution:**

1. From the conditions, employees in Operations cannot wear orange or black. So black shirt wearer is not in Operations.

2. Only the persons wearing red and black work together in the same department. This means the black shirt wearer works in the same department as the red shirt wearer.

3. G and D do not wear red or orange, so neither can be the red shirt wearer. Since red and black are together, and G and D are excluded from red, the black shirt wearer must be one of them who is not excluded from black.

4. B and E work together and neither wears black, so they are excluded from black.

5. A wears violet and is not in Operations, so A is excluded from black.

6. T works only with the green shirt wearer and is not in Marketing; this does not directly affect black shirt wearer.

7. R wears white and works with G but not in Marketing.

8. Since G does not wear red or orange, and R wears white, G could be the black shirt wearer.

9. H does not work with E, and E does not wear blue or orange, so H is excluded from black by elimination.

10. By elimination and given constraints, D is the only person who can wear the black shirt.

**Answer:** D

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