Linear Seating Arrangement Guide & Practice
Solve linear seating arrangement puzzles (single/double row, facing North/South) for SSC and Banking exams with step-by-step solutions. Explore dynamic solver blueprints, master fundamental equations, examine step-by-step solved examples, and practice with real exam-grade mock test sets.
1. Fundamentals & Definitions
Linear Arrangement is a type of sitting arrangement where persons or objects are placed in a specific order within a straight line. The goal is to determine the exact position of each person or object based on a set of given clues.
There are three main types of linear arrangements:
- Single Row Unidirectional: All individuals are arranged in a single row and face the same direction (e.g., all facing North).
- Single Row Bidirectional: Individuals are in a single row but face different directions (e.g., some face North, others face South).
- Dual Row: Individuals are arranged in two separate rows, typically facing each other.
2. Core Concepts & Formulas
Understanding relative positions is key to solving linear arrangement problems.
| Clue Terminology | Meaning & Interpretation | Example |
|---|---|---|
| A is second to the left of B | A is two positions to the left of B, with one person between them. | A _ B (if facing North) |
| A is second to the right of B | A is two positions to the right of B, with one person between them. | B _ A (if facing North) |
| 2 people between A and B | There are exactly two individuals sitting in the spaces separating A and B. | A _ _ B or B _ _ A |
| A is 3 places away from B | There are two people (3 - 1 = 2) between A and B. | A _ _ B or B _ _ A |
| A is an immediate neighbor of B | A is sitting directly next to B. | AB or BA |
| A is at an extreme end | A is sitting at either the far left or far right position of the row. | A _ _ _ or _ _ _ A |
Solved Examples
Question: 5 persons A, B, C, D, and E are sitting in a row facing North such that D is on the left of C and B is on the right of E. A is on the right of C and B is on the left of D. If E occupies a corner position, then who is sitting in the center?
Question: 6 persons are sitting in a row: A, B, C, D, E, and F. D is sitting on the extreme right. B is between F and D. C is not sitting beside D. E is between A and C. A is not sitting beside F. Who is to the immediate right of A?
Question: 8 persons (A, B, C, D, E, F, G, H) are in two rows facing each other, with 4 in each row. C is between D and E. B sits in front of C. H is to the immediate left of E. H and F are diagonally opposite. G is not a neighbor of B. Who is in front of A?