Seating Arrangement
Subject: Reasoning | Frequency: 2-3 questions per APPSC paper | Time: 90-120 sec/question
Introduction
Seating arrangement questions give clues about the positions of people in a row or around a table. You must determine the arrangement and answer questions about it. APPSC favours linear (single row, facing one direction) and circular (facing center) types. The absolute rule: always draw the diagram. Process definite clues first.
Core Method
- Identify the arrangement type — linear (row) or circular (table)?
- Draw the layout — line for linear, circle for circular
- Process DEFINITE clues first — exact positions, ends, center
- Then process RELATIVE clues — "A is to the left of B", "C is opposite D"
- Handle NEGATIVE clues last — "A is NOT next to B"
- Fill remaining positions by logical deduction
- Verify ALL clues against your final arrangement
Types
Linear — Single Row, Same Direction
- All face the same direction
- "Left" and "right" from the seated person's perspective
Linear — Facing North/South
| Facing | Left | Right |
|---|---|---|
| North | West | East |
| South | East | West |
Linear — Double Row (Facing Each Other)
- Two rows face each other; "left" for each row is opposite
Circular — Facing Center
- Clockwise from person = to their RIGHT
- Anticlockwise from person = to their LEFT
Circular — Facing Outside
- Clockwise from person = to their LEFT
- Anticlockwise from person = to their RIGHT
Key Terms
| Term | Meaning |
|---|---|
| "Immediate left/right" | Directly adjacent |
| "To the left of" | Could be any position on the left side |
| "3rd from left end" | 3rd position counting from left |
| "Between A and B" | Exactly in the middle, adjacent to both |
| "Opposite" (circular) | Directly across the table (N/2 positions away) |
Worked Examples — Easy
Q1: 5 people (A, B, C, D, E) sit in a row facing North. B sits at the right end. D is to the immediate left of B. A is to the immediate left of D. C is not at the left end.
- Right end: B
- ..., A, D, B
- C is not at left end → E is at left end
- Arrangement: E, C, A, D, B
- Answer: C sits 2nd from the left
Q2: 6 friends (P, Q, R, S, T, U) in a row. P and Q at extreme ends. S next to P. T next to Q. R immediate right of S.
- P at one end, Q at other
- P, S, R, _, T, Q
- U fills the blank
- Arrangement: P, S, R, U, T, Q
Q3: 4 people A, B, C, D sit around a circular table facing center. A is opposite C. B is to the right of A. Where is D?
- A at 12, C at 6 (opposite)
- B to right of A (clockwise) = 3 o'clock
- D fills remaining: 9 o'clock (left of A)
- Answer: D is to the left of A, opposite B
Worked Examples — Medium
Q4: 8 people (A-H) sit around a circular table facing center. A sits opposite D. B is 2nd to the right of A. C is 3rd to the left of D. E sits between A and B.
- Place A at position 1. D opposite at position 5.
- B is 2nd right (CW) of A → position 3
- E between A and B → position 2
- C is 3rd left of D → D at 5, 3rd left (ACW) = position 8
- Arrangement: A(1), E(2), B(3), _(4), D(5), _(6), _(7), C(8)
- Fill F, G, H in positions 4, 6, 7
Q5: 8 people in two rows of 4 facing each other. Row 1 (facing South): P, Q, R, S. Row 2 (facing North): A, B, C, D. P faces C. Q at extreme end. B faces R. D not at extreme end.
- Q at an extreme end of Row 1
- P faces C (same column), B faces R (same column)
- D not at extreme → D in middle positions of Row 2
- Strategy: Use a grid, test each possibility systematically
Q6: 6 people around circular table facing center. A between F and B. C immediate right of F. D between B and E.
- F, A, B in sequence (clockwise)
- C is immediate right (CW) of F: need to reconcile
- D between B and E: B, D, E in sequence
- Full clockwise: C, F, A, B, D, E
- Verify: A between F and B (yes), C immediate right of F (C is CW from F? No, C is ACW from F in this arrangement)
- Adjust and re-verify — always draw the diagram
Shortcuts & Tricks
| Shortcut | When to Use |
|---|---|
| Fixed positions first | Process "sits at end" or "sits opposite" before relative clues |
| Draw immediately | Never try to solve in your head |
| Facing direction matters | "Right" for North-facing differs from South-facing |
| Circular: pick anchor | Place one person, build around them |
| "Between" = adjacent to both | A between B and C means A is next to both |
| Elimination | Cross out placed people to track who's left |
| Check every clue at end | Most common error is violating a forgotten constraint |
Common Mistakes
- Left-right confusion in South-facing rows — left/right reverse for South-facing people
- Circular CW/ACW mix-up — "Right" facing center = clockwise; facing outside = anticlockwise
- Not checking all constraints — finalizing before verifying every clue
- "Between" misinterpretation — means directly adjacent to both, not just somewhere in the middle
- Starting with ambiguous clues — always start with definite/fixed position clues
Exam Strategy
- APPSC often gives a set of 3-5 questions from one arrangement — invest time upfront in getting the arrangement right
- Time: 90-120 seconds for the arrangement, 15-20 seconds per sub-question
- Practice drawing speed — the arrangement is mechanical once diagrammed correctly
- Always process definite clues first
- Negative marking: -0.333 — verify all clues before committing
Practice Questions
- 5 people in a row. A at left end, E at right end. B next to A. C not next to E. Arrangement? → A, B, C, D, E or A, B, D, C, E (C not next to E → A, B, C, D, E)
- Circular, 6 people facing center. A opposite D. B to right of A. C to left of D. Remaining? → Draw and fill
- Row facing North. P is 3rd from left, Q is 3rd from right, 5 total. P and Q same person? → Yes (3rd from left = 3rd from right in row of 5)
- A between B and C in a row. D to the right of C. Order? → B, A, C, D
- Circular, 8 people. A at 12. B opposite A. C 2nd right of B. C is at? → B at 6, C 2nd CW = 8 o'clock position
Key Terms / Formulas
| Term | Meaning |
|---|---|
| Linear arrangement | People in a straight row |
| Circular arrangement | People around a round table |
| Facing center | Standard circular; CW = right |
| Facing outside | Reverse; CW = left |
| Opposite (circular) | N/2 positions apart |
| "Immediate" | Directly adjacent (1 position away) |
| "Between" | Adjacent to both specified people |