Five houses in a row — which house is in the middle? Houses A, B, C, D, O in a line. A is to the right of B and to the left of C (B < A < C). O is to the right of A. B is to the right of D. Which house occupies the middle position?

Introduction / Context:We must linearize a set of relative-position clues and identify the central slot (position 3 of 5).

Given Data / Assumptions:

• B < A < C.
• O > A.
• B > D.

Concept / Approach:Start by satisfying B < A < C, then place O somewhere to A’s right, and ensure D is left of B.

Step-by-Step Solution:A feasible order is D, B, A, O, C.Check: B < A < C ✔; O right of A ✔; B right of D ✔.In this and equivalent permutations, A occupies the third (middle) position.

Verification / Alternative check:Trying to move A off the center breaks at least one constraint or forces duplicates/overlaps.

Why Other Options Are Wrong:O/B/D cannot sit in the unique middle slot without violating B < A < C or O > A.

Final Answer:A