Question Details

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.

U is ____ and likes _____ color.

Options

A

DGM, Red

B

GM, White

C

DG, Blue

D

AGM, Yellow

Show Answer

Correct Answer :

Option C

DG, Blue

DG, Blue

Solution :

Correct Answer: DG, Blue

Let us solve the puzzle step-by-step to determine the designation and color preference of each person, particularly U.

First, let us list the eight designations in increasing order of seniority as specified in the problem:
1. Clerk (Most Junior)
2. PO
3. SMO
4. Manager
5. DG
6. GM
7. AGM
8. DGM (Most Senior)

Let us analyze the clues step-by-step:
1. "At most two persons are junior to T."
This means T can be at position 1 (Clerk), position 2 (PO), or position 3 (SMO).
2. "Two persons are in between T and the one who likes blue color."
Let's consider the possible cases for T:
- Case A: If T is Clerk (1), then the blue color likes is at position 4 (Manager).
- Case B: If T is PO (2), then the blue color likes is at position 5 (DG).
- Case C: If T is SMO (3), then the blue color likes can be at position 6 (GM) (since T is senior to clerk/PO, going junior is impossible as there are not enough posts below SMO).
3. "Q is three posts senior to the one who likes blue color."
This means the rank of Q is: Rank of Blue + 3. Let's check the cases:
- Case A: Rank of Blue is 4 (Manager) ⇒ Q is at rank 7 (AGM).
- Case B: Rank of Blue is 5 (DG) ⇒ Q is at rank 8 (DGM).
- Case C: Rank of Blue is 6 (GM) ⇒ Q would be at rank 9 (which is invalid as there are only 8 posts). Thus, Case C is eliminated.
4. "Four persons are in between Q and the one who likes orange color."
- Under Case A (Q is at 7): The orange color must be at rank 2 (PO) because 7 - 4 - 1 = 2.
- Under Case B (Q is at 8): The orange color must be at rank 3 (SMO) because 8 - 4 - 1 = 3.
5. "R is junior to DG but does not like blue and red color."
DG is at rank 5. So, R must be at rank 4, 3, 2, or 1.
6. "P is just junior to R but senior to the one who likes green color."
Since P is just junior to R, they are consecutive posts (R directly above P). Also, P is senior to the one who likes green, meaning green cannot be P and must be below P. Thus, P cannot be Clerk (1), so R cannot be PO (2).
7. "Number of persons junior to P is same as the number of persons senior to the one who likes white color."
This means: Rank of P - 1 = 8 - Rank of White ⇒ Rank of P + Rank of White = 9.
8. "V is not DGM but V is senior to the one who likes white color."
9. "The one who likes silver color is three post junior to U."
This means: Rank of Silver = Rank of U - 3.
10. "S is just junior to the one who likes yellow color."
This means the yellow color is directly above S.

Let us test Case B (T is PO (2), Blue is DG (5), Q is DGM (8), Orange is SMO (3)):
- Since T is at 2, R cannot be at 2. Since R is junior to DG (5) and R cannot be T (2), R could be at 4 (Manager) or 3 (SMO) or 1 (Clerk).
- But P is just junior to R.
- If R is at 4 (Manager), then P is at 3 (SMO).
- If P is at 3 (SMO), then the number of persons junior to P is 2. Therefore, the number of persons senior to White is 2, which puts White at 6 (GM).
- Let's check V: V is senior to White (6). The only spots above 6 are 7 (AGM) and 8 (DGM). Since Q is at 8, V must be at 7 (AGM). This is consistent with "V is not DGM".
- Let's place the remaining persons:
The designations and filled details so far under this configuration:
8. DGM: Q
7. AGM: V
6. GM: [White]
5. DG: [Blue]
4. Manager: R
3. SMO: P, [Orange] (So P likes Orange)
2. PO: T
1. Clerk: [Green must be below P, so Clerk must like Green]
- Now let's place U and Silver: Rank of Silver = Rank of U - 3.
The available designations for U are 5 (DG) and 6 (GM).
- If U is 6 (GM), Silver must be at 3 (SMO). But 3 (SMO) likes Orange. So U cannot be at 6.
- If U is 5 (DG), Silver must be at 2 (PO). This works! So U is at 5 (DG) and likes Blue, and T (2, PO) likes Silver.
- Now let's check S and Yellow: S is just junior to the one who likes yellow color.
The remaining designations for S are 6 (GM) and 1 (Clerk).
If S is at 6 (GM), the one who likes yellow must be at 7 (AGM), so V likes Yellow.
Then S (6) likes White (from our previous step).
- Now let's determine the remaining colors:
The colors left are Red and Pink.
R (4) does not like Red, so R must like Pink.
This leaves Red for Q (8).
- The final assignments are:
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 (remaining person) - Green

This perfectly satisfies all conditions. Specifically, U is at designation DG and likes Blue color.

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