Nine persons work in three departments: operations, finance, and marketing. Each wears a different colored shirt: white, blue, green, orange, red, black, purple, pink, and violet. Using the clues below, determine which combination is correct.

- Persons 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 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.

Which of the following combinations is correct?

Question

Nine persons work in three departments: operations, finance, and marketing. Each wears a different colored shirt: white, blue, green, orange, red, black, purple, pink, and violet. Using the clues below, determine which combination is correct.

- Persons 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 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.

Which of the following combinations is correct?

Accepted Answer

**Solution:**

1. Persons in operations do not wear orange or black, so orange and black shirts belong to other departments.

2. T works only with the person wearing green but is not in marketing, so T and green-shirted person are in the same department, either operations or finance.

3. R wears white and works with G but is not in marketing, so R and G share a department other than marketing.

4. Only persons wearing red and black work together in the same department, so red and black shirts belong to the same department.

5. B works with E, and neither wears black, so B and E are together but not in the black-shirt department.

6. A does not work in operations but wears violet.

7. M neither works in finance nor with the person wearing red, so M is in operations or marketing but not with red.

8. The person wearing purple does not work in finance.

9. G and D do not wear red or orange.

10. H does not work with E, and E does not wear blue or orange.

From these clues, we deduce:

- Since E works with B and neither wear black, and E does not wear blue or orange, E must wear pink.

- A wears violet and is not in operations, so A is in finance or marketing.

- T works with green and is not in marketing, so T and green-shirted person are in operations or finance.

- R and G are together, not in marketing, and R wears white, so white shirt is not in operations (since operations excludes orange and black, white is allowed), but since R is not in marketing, R and G are in operations or finance.

- Red and black shirts are together in the same department.

- M is not in finance and not with red, so M is in operations or marketing but not with red.

- Purple shirt is not in finance.

- G and D do not wear red or orange.

- H does not work with E.

By elimination and matching, the only correct combination from the options given is:

**E wears pink.**

**Answer:** E - pink

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