Nine individuals work in three departments — Operations, Finance, and Marketing — of a company. On meeting days, each wears a distinct shirt color: white, blue, green, orange, red, black, purple, pink, and violet. The following conditions apply:

- Those 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 persons 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.

If M and the person wearing purple swap their departments with E and G, then who will be working in the Operations department (with their shirt colors)?

Question

Nine individuals work in three departments — Operations, Finance, and Marketing — of a company. On meeting days, each wears a distinct shirt color: white, blue, green, orange, red, black, purple, pink, and violet. The following conditions apply:

- Those 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 persons 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.

If M and the person wearing purple swap their departments with E and G, then who will be working in the Operations department (with their shirt colors)?

Accepted Answer

**Solution:**

1. From the given conditions, deduce the initial department and shirt color assignments:
   - Operations members 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 persons wearing red and black work together in the same department.
   - B works with E; neither wears black.
   - A wears violet and does not work in Operations.
   - 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; E does not wear blue or orange.

2. Using these clues, assign departments and shirt colors to all individuals.

3. The question states that M and the person wearing purple exchange their departments with E and G.

4. After this swap, identify who works in Operations.

5. The only option matching the persons working in Operations with their shirt colors after the swap is **C wearing blue and E wearing pink**.

**Answer:** C - blue, E - pink

Answer

Answer

Answer