Directions: Study the following information carefully and answer the question given below.

Eight professionals — A, B, C, D, E, F, G, and H — work in an organization at different designations, namely Director, Vice President (VP), General Manager (GM), Senior Manager (SM), Manager, Assistant Manager (AM), Executive, and Trainee, but not necessarily in the same order. The designations are given in decreasing order of seniority such that Director is the senior-most post and Trainee is the junior-most post.

F is three ranks junior to C. The number of persons senior to H is equal to the number of persons junior to B. Only two persons are designated between H and F. D is two ranks senior to G. A is senior to E but junior to D.

Which of the following combinations is correct?

The correct option is C - Director.

Step-by-step Explanation:

First, let us list the 8 designations in decreasing order of seniority (from rank 1 to rank 8):
1. Director
2. Vice President (VP)
3. General Manager (GM)
4. Senior Manager (SM)
5. Manager
6. Assistant Manager (AM)
7. Executive
8. Trainee

Step 1: Analyzing the positions of C, F, H, and B
- "F is three ranks junior to C": Rank(F) = Rank(C) + 3.
- "The number of persons senior to H is equal to the number of persons junior to B": Rank(H) - 1 = 8 - Rank(B), which gives Rank(H) + Rank(B) = 9.
- "Only two persons are designated between H and F": |Rank(H) - Rank(F)| = 3.
If Rank(H) = Rank(F) - 3, then Rank(H) = Rank(C), which is not possible since C and H are different professionals. Therefore, Rank(H) must be Rank(F) + 3 = Rank(C) + 6.

Since the lowest rank is 8, Rank(C) can only be 1 or 2.
If Rank(C) = 1:
- Rank(C) = 1 (Director)
- Rank(F) = 1 + 3 = 4 (Senior Manager)
- Rank(H) = 4 + 3 = 7 (Executive)
- Rank(B) = 9 - 7 = 2 (Vice President)

Step 2: Placing D, G, A, and E
The positions filled so far are 1 (C), 2 (B), 4 (F), and 7 (H).
The vacant positions are 3, 5, 6, and 8.
- "D is two ranks senior to G": Rank(D) = Rank(G) - 2. From the available positions, Rank(G) = 5 gives Rank(D) = 3 (General Manager).
- "A is senior to E but junior to D": Rank(D) < Rank(A) < Rank(E). The remaining vacant positions are 6 and 8. Thus, Rank(A) = 6 (Assistant Manager) and Rank(E) = 8 (Trainee).

Final Seating / Designation Table:
1. Director: C
2. Vice President (VP): B
3. General Manager (GM): D
4. Senior Manager (SM): F
5. Manager: G
6. Assistant Manager (AM): A
7. Executive: H
8. Trainee: E

Comparing the final arrangement with the options:
- G - Vice President (Incorrect, G is Manager)
- A - Executive (Incorrect, A is Assistant Manager)
- E - Manager (Incorrect, E is Trainee)
- C - Director (Correct)
- B - Senior Manager (Incorrect, B is Vice President)