Seating arrangement: Reasoning Ability Notes for Madhya Pradesh Police Sub-Inspector (SI)

Seating Arrangement – Reasoning Ability

For the Madhya Pradesh Police Sub‑Inspector (SI) Examination

Goal: Master the logic behind arranging people (or objects) in rows, circles, or other patterns under given constraints.

1. Simple Explanation

Seating‑arrangement questions test your ability to deduce positions of people (or items) from a set of clues.
Think of it as a puzzle where each clue is a rule that must be satisfied simultaneously.
The typical steps are:

Draw a sketch (linear, circular, or multi‑row diagram).
Place the “fixed” elements first (e.g., those whose positions are given).
Apply constraints one by one, marking possibilities and eliminating impossibilities.
Use deduction – when only one position fits a person, place them.
Check consistency – every clue must be satisfied; if not, backtrack.

2. Key Points

Category	Typical Clue	How to Interpret
Relative Position	X sits to the left/right of Y	X is immediately adjacent to Y.
Opposite/Across	X sits opposite Y	In a circular arrangement, X and Y are diametrically opposite.
Between	X sits between Y and Z	Y and Z are on either side of X, order unspecified.
Distance	X sits two seats clockwise from Y	Move 2 seats clockwise from Y to place X.
Row/Column	X sits in the first row, second column	Use grid indices.
Direction	X sits behind Y	In a linear arrangement, X is closer to the back.
Group Constraints	All females sit together	Keep them contiguous.
Exclusion	X does not sit next to Y	Ensure at least one seat between them.
Special Positions	The eldest sits at the head	Place according to special attribute.
Even/Odd Seats	Y sits on an even seat	Use seat numbering.

Common Patterns

Pattern	Example	Strategy
Circular with opposite pairs	8 persons, A opposite C, B opposite D	List opposite pairs; fill remaining seats.
Linear with “between”	X between Y and Z	Place Y & Z at extremes; X in middle.
Directional “behind”	X behind Y, Y behind Z	Order is X – Y – Z from front to back.
Adjacency with “next to”	X next to Y, Y next to Z	X–Y–Z or Z–Y–X.
Distance + adjacency	X three seats from Y, X next to Z	Use distance to locate X; then place Z adjacent.
Multi‑row grid	3 rows × 4 columns, A in row 1 column 2	Fill positions row‑by‑row; use row/column clues.

Diagramming Tips

Linear: |A|B|C|D|E|F|
Circular: draw a circle; label seats 1…n clockwise.

Grid:

R1: | | | | |
R2: | | | | |
R3: | | | | |

Use shaded cells or X marks for impossible spots; use dots for possible positions.

3. Worked Example

Problem Statement

There are 7 members of a committee – A, B, C, D, E, F, and G – seated in a circle of 7 seats. The following conditions apply:

A sits opposite G.

B sits immediately to the left of A.

C sits between D and E (order unknown).

D sits two places clockwise from B.

F sits next to G.

G does not sit next to C.
Determine the seating arrangement.

Step‑by‑Step Solution

Draw a circle with 7 labeled seats (1–7 clockwise).

Seat 1   Seat 2   Seat 3   Seat 4   Seat 5   Seat 6   Seat 7

Place A and G opposite each other (Condition 1).
Opposite seats in a 7‑seat circle are 3 seats apart.
Choose Seat 1 for A → G sits in Seat 4.
Place B immediately to the left of A (Condition 2).
Left of Seat 1 is Seat 7 → B in Seat 7.
Place D two seats clockwise from B (Condition 4).
B (Seat 7) → clockwise to Seat 1 (A) → Seat 2 → Seat 3.
D in Seat 3.
C sits between D and E (Condition 3).
D is in Seat 3; possible positions for C & E are Seats 2 & 4 or Seats 4 & 5.
But Seat 4 already has G, so C cannot be in Seat 4.
Therefore, C must be in Seat 2, E in Seat 5.
**F sits