Nine persons work in three departments i.e., operations, finance and marketing of a company. On their meeting day, they wear different color shirts i.e., white, blue, green, orange, red, black, purple, pink and violet. All the information is not necessary in the same order as given.

The persons work in operations do not wear orange and black. T works only with the one wearing green but not in marketing. R wears white and work with G but not in marketing. Only the persons wearing red and black work together in same department. B works with E and none of them wear black. A does not work in operations but wears violet. M neither works in finance nor with the one wearing red. The one wearing purple does not work in finance. G and D do not wear red and orange.

H does not work with E who does not wear blue and orange.

Who among the following wears black shirt?

The correct answer is D.

Step-by-Step Logic and Analysis:

We have 9 persons: A, B, D, E, G, H, M, R, T.
3 Departments: Operations, Finance, Marketing.
9 Shirt colors: White, Blue, Green, Orange, Red, Black, Purple, Pink, Violet.

1. Analyze group sizes and restrictions:
- "T works only with the one wearing green but not in marketing."
Since T works in a department non-marketing and only with ONE other person, that department has exactly 2 persons: T and the person wearing Green.
So, this department must be Finance (since T doesn't work in marketing, and operations has other constraints, let's verify: T is in Finance with Green).
- "Only the persons wearing red and black work together in same department."
This means the department containing Red and Black has EXACTLY 2 persons: the person wearing Red and the person wearing Black.
- Since total persons = 9, and two departments have exactly 2 persons each, the remaining department must have 9 - 2 - 2 = 5 persons.

2. Determine Departments:
- Two-person departments: Finance (2 persons: T and Green), Another department with 2 persons (Red and Black).
- "The persons work in operations do not wear orange and black." -> Black is not in Operations. Black is also not in Finance (since Finance has T and Green). Therefore, Red and Black must be in Marketing (2 persons).
- Consequently, Operations is the department with 5 persons.
- Finance has 2 persons (T + Green).
- Marketing has 2 persons (Red + Black).

3. Placing Persons into Departments:
- Marketing (2 persons): Red and Black.
- "A does not work in operations but wears violet." -> A is not in Operations. Since Marketing has only Red and Black, A (Violet) cannot be in Marketing either. Thus, A (Violet) must be in Finance? Wait, Finance only has 2 persons (T and Green). But A wears Violet, so A is Green? No, A wears Violet, so A must be in Operations! Let's re-verify: Operations has 5 persons, so A can be in Operations. But prompt says "A does not work in operations". Wait, if A does not work in operations and wears Violet, A must be in Finance! But Finance has T and Green. Wait! T works ONLY with the one wearing Green. This means Finance has T and Green. So A (Violet) CANNOT be in Finance. Wait, let's re-read carefully: "T works only with the one wearing green but not in marketing." This means T's department has only 2 people.
- If T is in Operations: Operations has T and Green (2 persons). Then Marketing can have 5 persons or Finance has 2 persons. Let's re-evaluate department distribution:
- Dept 1: T + Green (2 persons)
- Dept 2: Red + Black (2 persons)
- Dept 3: Remaining 5 persons.
- Since "The persons work in operations do not wear orange and black", Black cannot be in Operations. Thus Operations cannot be Dept 2 (Red + Black).
- If T is in Finance: Finance has 2 persons (T + Green). Then Marketing has 2 persons (Red + Black), and Operations has 5 persons.
- In this case: A (Violet) does not work in Operations. A is not Red/Black so A is not in Marketing. A is not T/Green so A is not in Finance. Contradiction!
- Therefore, T must be in Finance? No! What if T is in Finance and Operations has 2 persons? Let's check: "A does not work in operations but wears violet." If Operations has 2 persons (Red + Black), but Operations doesn't have Black! So Operations cannot be Red + Black.
- What if T is in Operations? "T works only with the one wearing green but not in marketing." So T is in Operations! Operations has 2 persons: T and Green.
- Then Marketing cannot be Red + Black if A is in Marketing? But Red + Black are the ONLY 2 persons in their department! So Dept (Red + Black) has only 2 persons. Since A wears Violet, A is NOT in the Red + Black department.
- Since A does not work in Operations, A must be in the department with 5 persons! That department is Finance!
- Let's check: Finance has 5 persons. Operations has 2 persons (T and Green). Marketing has 2 persons (Red and Black).

4. Assigning Persons to Operations & Marketing:
- Operations (2 persons): T and Green.
- Marketing (2 persons): Red and Black.
- Finance (5 persons): A (Violet), B, E, G, R, etc.
- "R wears white and work with G but not in marketing." -> R (White) is in Finance along with G.
- "B works with E and none of them wear black." -> B and E are in Finance.
- "G and D do not wear red and orange."
- "M neither works in finance nor with the one wearing red." -> M is not in Finance, and not with Red (Marketing). So M must be in Operations! Since T is in Operations, M works with T! Thus, M is the one wearing Green in Operations!
- Operations has 2 persons: T and M (Green).
- Now Marketing has 2 persons (Red and Black). Who are they? The remaining persons are D and H!
- Let's check: Persons are A, B, D, E, G, H, M, R, T.
- Operations (2): T, M (Green)
- Finance (5): A (Violet), B, E, G, R (White)
- Marketing (2): D, H (Red, Black)
- "G and D do not wear red..." -> D is in Marketing (which consists of Red and Black). Since D does not wear Red, D MUST wear Black!
- Consequently, H wears Red.

5. Conclusion:
D is in Marketing and wears the black shirt.