Seating Arrangement – Reasoning Ability
(Karnataka Police Sub‑Inspector – Examination Guide)
1. Simple Explanation
Seating arrangement puzzles ask you to determine the relative positions of a set of people (or objects) in a row, on a bench, around a table, or in multi‑row rooms, based on a list of clues.
- Objective: Place everyone in the correct seat(s) satisfying all the given constraints.
- Typical format: A set of 5–10 clues, each describing a positional relation (e.g., “A sits to the left of B”, “C sits opposite D”, “E is the second to the right of F”).
- Answer: Usually the order of names, a specific seat number, or the relative position of a particular person.
2. Key Points & Tips
| # | Tip | Why It Works |
|---|---|---|
| 1 | List all people and seats | Gives you a clear “playground”. |
| 2 | Draw a simple diagram (row, circle, rows of rows) | Visualizing reduces confusion. |
| 3 | Translate clues into equations • “to the left of” → pos(A) < pos(B)• “second to the right of” → pos(A) = pos(B)+2 |
Makes the logic precise. |
| 4 | Start with absolute positions (e.g., “A is on the leftmost seat”) | Anchors the whole arrangement. |
| 5 | Use elimination (if A is left of B, B cannot be leftmost). |
Narrows possibilities quickly. |
| 6 | Check consistency after each placement | Avoids back‑tracking later. |
| 7 | Look for “unique” constraints (only one person can satisfy a clue). | Pinpoints a seat immediately. |
| 8 | Work row‑by‑row or seat‑by‑seat | Keeps the puzzle organized. |
| 9 | Apply “mirror” logic in circular tables | Left/right are interchangeable after reflection. |
| 10 | Keep the answer simple (usually a single position or a short order). | Saves time. |
Common Constraint Types
| Constraint | Example | Interpretation |
|---|---|---|
| A sits to the left of B | A is somewhere left of B (not necessarily adjacent). |
pos(A) < pos(B) |
| C sits next to D | C and D are adjacent. |
` |
| E is second to the right of F | E is two seats right of F. |
pos(E) = pos(F)+2 |
| G sits opposite H | On a circular table, G and H are directly across. | pos(G) = pos(H)+N/2 (mod N) |
| I sits between J and K (J on left) | J – I – K in that order. |
pos(J) < pos(I) < pos(K) |
| L is not in seat 3 | pos(L) ≠ 3 |
Eliminates seat 3. |
3. Worked Example
Problem (Typical 2024 Pattern)
10 persons – A, B, C, D, E, F, G, H, I, J – are seated in a single row of 10 seats (leftmost seat is 1, rightmost seat is 10).
The following clues are given:
- A sits third to the left of B.
- C sits next to D.
- E sits second to the right of F.
- G sits between H and I with H on the left.
- J sits in seat 1.
- B sits somewhere to the right of C.
- D sits in seat 9.
- F sits left of A.
- I sits in seat 7.
- H sits in seat 4.
Question: Determine the exact order of all persons from seat 1 to seat 10.
Step‑by‑Step Solution
| Step | Reasoning | Placement |
|---|---|---|
| 1 | From clue 5: J = seat 1. | 1: J |
| 2 | Clue 10: H = seat 4 |