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.

Which of the following color is liked by Manager?

To solve this puzzle, we first establish the designations in increasing order of seniority (from junior-most to senior-most):
1. Clerk (junior-most)
2. PO
3. SMO
4. Manager
5. DG
6. GM
7. AGM
8. DGM (senior-most)

Let's analyze the clues step-by-step to determine the positions and colors of each person:

Step 1: Determine the positions of T, Blue color, and Q
- "At most two persons are junior to T." This means T can be at post 1 (Clerk), 2 (PO), or 3 (SMO).
- "Two persons are in between T and the one who likes blue color." Since T is junior (post 1, 2, or 3), the person who likes blue must be senior to T. Thus, the post of Blue = T + 3.
- "Q is three posts senior to the one who likes blue color." So, Q = Blue + 3.
Let's test the possible cases:
- If T = 1 (Clerk), then Blue = 4 (Manager), and Q = 7 (AGM).
- If T = 2 (PO), then Blue = 5 (DG), and Q = 8 (DGM).
- If T = 3 (SMO), then Blue = 6 (GM), and Q = 9 (which is invalid as there are only 8 posts).

Step 2: Narrow down using further clues
Let's evaluate Case 1: T = 1 (Clerk), Blue = 4 (Manager), Q = 7 (AGM).
- "Four persons are in between Q and the one who likes orange color." If Q = 7, the person who likes orange must be at post 2 (7 - 5 = 2). So, Orange = 2 (PO).
- "P is just junior to R but senior to the one who likes green color." Since P is senior to Green, P cannot be at post 1. Since R is junior to DG (5) and R = P + 1, R must be 3 (SMO) and P must be 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 = 2, there is 1 person junior to P. Thus, there must be 1 person senior to the one who likes white, placing White at post 7 (AGM).
- "V is not DGM but V is senior to the one who likes white color." Since White is at 7 (AGM), the only post senior to it is 8 (DGM). But V is not DGM, creating a contradiction. Thus, Case 1 is eliminated.

Let's evaluate Case 2: T = 2 (PO), Blue = 5 (DG), Q = 8 (DGM).
- "Four persons are in between Q and the one who likes orange color." Since Q = 8, the person who likes orange must be at post 3 (8 - 5 = 3). So, Orange = 3 (SMO).
- "R is junior to DG (5) but does not like blue and red color." Thus R can be 4, 3, 2, or 1.
- "P is just junior to R but senior to the one who likes green color." This means P = R - 1, and P must be senior to Green, so P cannot be 1. Since T is at 2, R and P cannot be 2. Since R < 5, R must be 4 (Manager) and P must be 3 (SMO). Thus, P likes Orange.
- "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 3, there are 2 persons junior to P. Hence, there must be 2 persons senior to White, which places White at post 6 (GM).
- "V is not DGM but V is senior to the one who likes white color." Since White is at 6 (GM), V must be senior to 6 (which leaves posts 7 and 8). Since V is not DGM (8), V must be 7 (AGM).

Step 3: Place the remaining persons and colors
- The remaining posts to assign persons to are 1 (Clerk), 5 (DG), and 6 (GM). The remaining people are S, U, and W.
- "The one who likes silver color is three post junior to U." (Silver = U - 3). Since the available positions for U are 5 and 6: if U is 6, Silver would be 3 (which is P, who likes Orange). Thus, U must be 5 (DG), and the person at post 2 (T, PO) likes Silver.
- "S is just junior to the one who likes yellow color." (S = Yellow - 1). The remaining posts for S are 1 and 6. If S is 1, Yellow would be 2 (which is T, who likes Silver). Thus, S must be 6 (GM), and the person at post 7 (V, AGM) likes Yellow. The remaining person W is placed at post 1 (Clerk).
- "P is senior to the one who likes green color." Since P is at 3, Green must be at post 1 (Clerk, W).
- We are left with two posts without colors: 4 (Manager, R) and 8 (DGM, Q), and two colors: Red and Pink. Since R (Manager) does not like Red, R must like Pink, and Q (DGM) must like Red.

Conclusion:
The final arrangement of designations, persons, and colors is:
1. Clerk: W (Green)
2. PO: T (Silver)
3. SMO: P (Orange)
4. Manager: R (Pink)
5. DG: U (Blue)
6. GM: S (White)
7. AGM: V (Yellow)
8. DGM: Q (Red)

Therefore, the Manager likes the color Pink.