Read the given information carefully and answer the given questions:

Eight persons P, Q, R, S, T, U, V and W - work on different designation in an organization. The designations are Clerk, PO, SMO, Manager, DG, GM, AGM, DGM (designations are given in increasing order of seniority from clerk to PO respectively). They also like different colors – Red, Blue, Green, Yellow, Orange, White, Pink, Silver. The information of persons and colors is not used in the same order as given. At most two persons are junior to T. Two persons are in between T and the one who likes blue color. Q is three posts senior to the one who likes blue color. Four persons are in between Q and the one who likes orange color. R is junior to DG but does not like blue and red color. P is just junior to R but senior to the one who likes green color. Number of persons junior to P is same as the number of persons senior to the one who likes white color. V is not DGM but V is senior to the one who likes white color. The one who likes silver color is three post junior to U. S is just junior to the one who likes yellow color.

What is the designation of S?

To find the designation of S, let us analyze the given information step-by-step.

First, we list the eight designations in increasing order of seniority from 1 to 8:
1. Clerk (Junior-most)
2. PO
3. SMO
4. Manager
5. DG
6. GM
7. AGM
8. DGM (Senior-most)

Step 1: Determine the positions of T, Blue, Q, and Orange
- "At most two persons are junior to T." This means T can be at rank 1 (Clerk), 2 (PO), or 3 (SMO).
- "Two persons are in between T and the one who likes blue color."
- "Q is three posts senior to the one who likes blue color."
If T is at rank 3, then Blue is at rank 6. But then Q would need to be at rank 9, which is invalid since there are only 8 ranks. Therefore, T cannot be at rank 3.

Let us consider the remaining two cases:

Case 1: T is at rank 1 (Clerk)
- The person who likes Blue is at rank 4 (Manager).
- Q is at rank 7 (AGM).
- "Four persons are in between Q and the one who likes orange color." Since Q is 7, Orange must be at rank 2 (PO).
- "R is junior to DG (rank 5) but does not like blue and red color." Thus, R must be junior to rank 5, so R can be rank 3 or 2 (since R does not like Blue which is rank 4).
- "P is just junior to R." This means:

$\mathrm{Rank}\left(P\right)=\mathrm{Rank}\left(R\right)-1$

Since T is at rank 1, P cannot be at rank 1. Thus, the only possibility is that R is at rank 3 and P is at rank 2 (PO).
- "Number of persons junior to P is same as the number of persons senior to the one who likes white color." Since P is at rank 2, there is 1 person junior to P. Therefore, there must be 1 person senior to the one who likes White, meaning White is at rank 7 (AGM).
- "V is not DGM (rank 8) but V is senior to the one who likes white color (rank 7)." The only rank senior to 7 is 8, but V cannot be 8. This leads to a contradiction. Hence, Case 1 is eliminated.

Case 2: T is at rank 2 (PO)
- The person who likes Blue is at rank 5 (DG).
- Q is at rank 8 (DGM).
- Since Q is at rank 8, the person who likes Orange is at rank 3 (SMO) because there are four persons in between.
- Since R is junior to DG (rank 5), R can be at rank 4, 3, 2, or 1. But T is at rank 2, so R cannot be at rank 2. Since P is just junior to R, R cannot be at rank 1. Since Orange is at rank 3, and R cannot like Blue (rank 5) or Red, and P is just junior to R: if R were at rank 3, P would be at rank 2 (which is occupied by T). Thus, R must be at rank 4 (Manager), and P is at rank 3 (SMO) who likes Orange.

Step 2: Place the remaining colors and persons
- "Number of persons junior to P is same as the number of persons senior to the one who likes white color." P is at rank 3, so there are 2 persons junior to P. Thus, 2 persons are senior to the one who likes White, which places White at rank 6 (GM).
- "V is not DGM (rank 8) but V is senior to the one who likes white color (rank 6)." The only remaining option senior to 6 is rank 7. Thus, V is at rank 7 (AGM).
- "The one who likes silver color is three post junior to U." This means:

$\mathrm{Rank}\left(\mathrm{Silver}\right)=\mathrm{Rank}\left(U\right)-3$

Since V is at rank 7, U cannot be at rank 7. U can only be at rank 5 (DG), which means Silver is at rank 2 (PO, which is T).
- "S is just junior to the one who likes yellow color." This means:

$\mathrm{Rank}\left(S\right)=\mathrm{Rank}\left(\mathrm{Yellow}\right)-1$

Since T (rank 2) likes Silver, Yellow cannot be at rank 2. Thus, the only option is for S to be at rank 6 (GM) and Yellow to be at rank 7 (AGM, which is V).
- The remaining person W is placed at rank 1 (Clerk).
- "P is senior to the one who likes green color." Since P is at rank 3 and T (rank 2) likes Silver, the one who likes Green must be at rank 1 (Clerk, which is W).
- "R (rank 4) does not like red color." Since the remaining colors are Red and Pink, R must like Pink, and Q (rank 8) must like Red.

Final Designation Layout:
8. DGM: Q (Red)
7. AGM: V (Yellow)
6. GM: S (White)
5. DG: U (Blue)
4. Manager: R (Pink)
3. SMO: P (Orange)
2. PO: T (Silver)
1. Clerk: W (Green)

Therefore, S works as a GM.