Seven members in a row – who sits exactly in the middle? Constraints (left-to-right ordering): C is left of B but right of D (D … C … B). A is right of B. F is right of E but left of D (E … F … D). H is left of E.

Difficulty: Medium

Correct Answer: D

Explanation:


Introduction / Context:
We have seven distinct members with multiple “to the left/right of” constraints. The goal is to determine who occupies the central (4th) position when everyone is arranged left to right.



Given Data / Assumptions:

  • D … C … B (C is between D and B, with C left of B).
  • A is to the right of B ⇒ B … A.
  • E … F … D (F is right of E but left of D).
  • H is left of E ⇒ H … E.


Concept / Approach:
Chain the inequalities to form one consistent sequence. From E … F … D and H … E, we get H … E … F … D. From D … C … B and B … A, extend to the right: … D … C … B … A.



Step-by-Step Solution:

Concatenate: H – E – F – D – C – B – A.This satisfies all four constraints simultaneously.In a 7-seat order, the middle (4th) position is occupied by D.


Verification / Alternative check:
Any attempt to move D left of F breaks “F left of D”; moving C left of D breaks “D left of C”; placing A to the left of B breaks “A right of B.”



Why Other Options Are Wrong:
C, E, F are not at the 4th position in any arrangement that honors all constraints.



Common Pitfalls:
Not chaining all relations together and overlooking that the set H, E, F, D must precede C, B, A in that order.



Final Answer:
D

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