Study the following information carefully and answer the questions given below.
Eight employees—P, Q, R, S, T, U, V, and W—work in a corporate firm. Each of them holds a different designation: Managing Director (MD), Executive Director (ED), Director, Vice President (VP), Associate, Analyst, Senior Officer, and Officer, though not necessarily in that order. The hierarchical order of these designations is in decreasing order of seniority, where the Managing Director (MD) is the senior-most position and the Officer is the junior-most position.
There are exactly three designations between U and T, who is just junior to V. At most one person is junior to W. S is junior to Q and just senior to R. P is senior to both Q and U.
Who among the following is a Senior Officer?
Correct Answer :
T
Solution :
Correct Answer: T
Let us analyze the given information step-by-step to determine the designations of all eight employees.
First, let us list the designations in decreasing order of seniority (1 being the highest/senior-most and 8 being the lowest/junior-most):
1. Managing Director (MD)
2. Executive Director (ED)
3. Director
4. Vice President (VP)
5. Associate
6. Analyst
7. Senior Officer
8. Officer
Now, let us evaluate the clues provided in the puzzle:
1. "T is just junior to V" ⇒ V is directly above T in seniority (V is immediately senior to T).
2. "There are exactly three designations between U and T."
3. "At most one person is junior to W." ⇒ W can be either at position 7 (Senior Officer) or position 8 (Officer).
4. "S is junior to Q and just senior to R" ⇒ S is immediately senior to R (S is directly above R), and Q is somewhere senior to S (Q > S > R).
5. "P is senior to both Q and U" ⇒ P is above both Q and U in rank.
Let us trace the relative positions:
From clue 5, P is senior to Q, and Q is senior to S, who is immediately senior to R. So the order of these four people is P ... Q ... S - R.
P is also senior to U.
Since U has 3 designations between itself and T, let us consider the possible positions for U and T (remembering V is immediately above T):
- If U is at 2 (ED), then T is at 6 (Analyst) and V is at 5 (Associate).
Let us check if U = 2, V = 5, T = 6 works:
Positions left: 1 (MD), 3 (Director), 4 (VP), 7 (Senior Officer), 8 (Officer).
Since P is senior to U, P must be at position 1 (MD).
Then Q must be senior to S & R. The remaining top positions are 3 and 4, so Q = 3 (Director).
We need consecutive positions for S and R (S just senior to R). The remaining positions are 4, 7, 8.
If S = 7 and R = 8, then W can be at position 4. But clue 3 states "At most one person is junior to W", meaning W must be at position 7 or 8. Here W is at 4, which is junior to only 4 people (5, 6, 7, 8), violating the condition!
Now let us test another arrangement: What if U is at position 3 (Director)?
Then T is at position 7 (Senior Officer) because there are 3 positions between them (4, 5, 6).
Since V is just senior to T, V must be at position 6 (Analyst).
Now let us check the remaining positions for the rest of the employees:
Positions filled: U = 3, V = 6, T = 7.
Positions remaining: 1 (MD), 2 (ED), 4 (VP), 5 (Associate), 8 (Officer).
W must be at position 8 (Officer) because W can have at most one person junior to him (here 0 people are junior to W, which satisfies "at most one").
Now we have positions 1, 2, 4, 5 remaining for P, Q, S, R.
S is just senior to R, so S and R must occupy adjacent positions. The remaining adjacent positions are 4 and 5, so S = 4 (VP) and R = 5 (Associate).
P and Q must occupy positions 1 and 2. Since P is senior to Q, P = 1 (MD) and Q = 2 (ED).
Let us verify the complete layout:
1. MD: P
2. ED: Q
3. Director: U
4. VP: S
5. Associate: R
6. Analyst: V
7. Senior Officer: T
8. Officer: W
All conditions are satisfied:
- Exactly 3 designations between U (3) and T (7): 4, 5, 6. (Valid)
- T (7) is just junior to V (6). (Valid)
- At most one person is junior to W (8 has 0 junior). (Valid)
- S (4) is junior to Q (2) and just senior to R (5). (Valid)
- P (1) is senior to both Q (2) and U (3). (Valid)
Therefore, T is the Senior Officer.
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