Difficulty: Medium
Correct Answer: Rekha
Explanation:
Introduction / Context:
This is a seating arrangement question involving five girls sitting in a row facing north. Several relative position conditions are given, and we must determine who occupies the middle seat. Such problems test logical deduction and the ability to translate verbal clues into a consistent ordering.
Given Data / Assumptions:
- The girls are Neha, Shalini, Rekha, Neetu and Pooja.
- All are sitting in a single row facing north.
- Rekha is between Shalini and Neetu.
- Pooja is to the immediate right of Neetu.
- Shalini is to the immediate right of Neha.
- Left and right are taken from the girls' own perspective while facing north (left is to the west, right is to the east).
Concept / Approach:
When everyone faces north, the leftmost seat is at the west end and the rightmost at the east end. We use the "immediate right" relations to form fixed pairs and then incorporate the "between" condition to fit all girls into five seats. By trying possible placements systematically and eliminating contradictions, we find all valid arrangements. The middle girl is then identified from the consistent ordering(s).
Step-by-Step Solution:
1. From "Shalini is to the immediate right of Neha," we get the pair Neha, Shalini in adjacent seats from left to right.
2. From "Pooja is to the immediate right of Neetu," we get the pair Neetu, Pooja in adjacent seats from left to right.
3. Rekha is between Shalini and Neetu, so along the row we must have either Shalini, Rekha, Neetu or Neetu, Rekha, Shalini in that order.
4. Combine these constraints by trial. One valid arrangement is Neetu, Pooja, Rekha, Neha, Shalini, which does not satisfy the adjacency of Neha and Shalini in the correct order.
5. A consistent arrangement that works is Neetu, Pooja, Rekha, Neha, Shalini if we misplace the pair; checking again we see it does not match all conditions.
6. Two correct complete arrangements that satisfy all conditions are: (Neetu, Pooja, Rekha, Neha, Shalini) and (Neha, Shalini, Rekha, Neetu, Pooja) after carefully applying each clue.
7. In both consistent orders, Rekha occupies the central third seat, confirming that the middle position is always held by Rekha.
Verification / Alternative check:
Focus only on relative order segments. Since Rekha is between Shalini and Neetu, the three of them must appear in the order Shalini, Rekha, Neetu or Neetu, Rekha, Shalini. At the same time, Shalini must sit immediately to the right of Neha, and Pooja must sit immediately to the right of Neetu. By building the sequence from left to right and testing both variants, we find that Rekha naturally falls into the third position in any valid 5 seat layout. Drawing the row and filling from the outside inward helps confirm that Rekha must be in the middle seat.
Why Other Options Are Wrong:
- Shalini and Neetu appear towards one end or just next to Rekha depending on the arrangement, but not in the central seat in all consistent cases.
- Pooja must be immediately to the right of Neetu, which places her at an extreme right position in one pattern and not in the middle.
- Neha sits adjacent to Shalini but not at the very center once all constraints are satisfied.
Common Pitfalls:
It is easy to misinterpret "between" as "immediately between" or to forget that immediate right means exactly one seat away, not somewhere to the right. Another common mistake is to settle on one arrangement quickly without checking if all clues are satisfied. Writing all constraints clearly and building the row step by step ensures that the central position is identified correctly.
Final Answer:
The girl sitting in the middle position is Rekha.
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