Nine people - A, B, C, P, Q, R, X, Y, and Z are working at different positions in a hierarchical order. Give the hierarchical positions based on the following relationships: B is s... Nine people - A, B, C, P, Q, R, X, Y, and Z are working at different positions in a hierarchical order. Give the hierarchical positions based on the following relationships: B is senior to AP but not to P. Only four people are in hierarchical between B and Y, who is senior to Clerk. Q is senior to C but not to B. Only two people are in hierarchical between R and A, who is not senior to Q. X is senior to ASP. The number of people in hierarchical between Professor and Y is fourfold as hierarchical between Clerk and A. Only one person is in hierarchical between Z and Lecturer.
Understand the Problem
The question provides a hierarchical structure involving several individuals and their respective positions. It seeks to understand the relationships and ranks between these individuals based on the given clues and statements.
Answer
The final hierarchical order is: CMD, Q, B, X, R, C, A, Y, Clerk, Lecturer, Z, ASP, AP, OB.
Answer for screen readers
The final hierarchy is:
- CMD
- Q
- B
- X
- R
- C
- A
- Y
- Clerk
- Lecturer
- Z
- ASP
- AP
- OB
Positions are not numbered in the actual hierarchy for correctness among defined roles.
Steps to Solve
-
Establish the Hierarchical Positions
The hierarchy positions from senior-most to junior-most are: CMD, Professor, SASP, ASP, AP, Lecturer, Clerk, OB. -
Analyze Clue 1: B and Y Relationship
B is senior to AP but not to P. This implies:
- B > AP
- P > B
-
Analyze Clue 2: Hierarchy between B and Y
There are four people between B and Y, and Y is senior to the Clerk. Therefore:
- B > (4 People) > Y > Clerk
-
Analyze Clue 3: Q and C Relationship
Q is senior to C but not to B, implying:
- Q > C
- Since B is senior to AP, and Q cannot be below B, then Q > B.
-
Analyze Clue 4: R and A Relationship
There are two people between R and A, with A not senior to Q, leading to:
- R > (2 People) > A
- A < Q, so R must be senior to A.
-
Analyze Clue 5: X and Z Relationship
X is senior to ASP, and one person is between X and Z. Thus, possible arrangements can be:
- X > (1 Person) > Z
- Since X > ASP, X must be higher than A and possibly above B too.
-
Analyze Clue 6: Professor and Y Relationship
The gap between Professor and Y is fourfold that between Clerk and A. Here, assume the gap between Clerk and A = 1, leading to a four-position gap between Y and Professor. -
Analyze Clue 7: Z and Lecturer Relationship
Only one person is between Z and Lecturer, giving us another anchor point for hierarchy mapping. -
Formulate a Hierarchy
Using all derived constraints, we start to map out the order and see which names fit in which gaps consistently.
The final hierarchy is:
- CMD
- Q
- B
- X
- R
- C
- A
- Y
- Clerk
- Lecturer
- Z
- ASP
- AP
- OB
Positions are not numbered in the actual hierarchy for correctness among defined roles.
More Information
The structured hierarchical order is developed through logical deductions based on the clues provided. Each individual’s rank was determined by carefully analyzing the relationship and differences prescribed by the problem statement.
Tips
- Ignoring Relative Positions: Students often forget to consider the relative positions of individuals when making deductions, leading to incorrect placements.
- Missing Clue Interconnections: Overlooking how clues interact can cause gaps in logical conclusions, failing to connect ranks directly.
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