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.
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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 |
Typical Exam Weightage
| Exam | Typical Questions |
|---|---|
| SSC (CGL / CHSL / MTS) | 2–3 questions |
| Banking (IBPS / SBI) | 5 questions (a full puzzle set) |
Banking exams almost always include at least one full seating-arrangement puzzle set — high time investment but high marks if solved correctly.
Figures are typical ranges based on recent-year patterns, not a guarantee for any specific upcoming paper — always cross-check against the latest official syllabus and previous-year papers for Linear Seating Arrangement.
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?
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- Analyze Clues: All persons face North.
- D is to the left of C (
D C). - B is to the right of E (
E B). - A is to the right of C (
C A). - B is to the left of D (
B D).
- D is to the left of C (
- Combine Clues: We can chain the relationships together:
E B,B D,D C,C A. This forms the complete sequenceE B D C A. - Use the Positional Clue: We are told
Eoccupies a corner position. SinceEis the leftmost person in our derived sequence, this is consistent. - Final Arrangement: The arrangement of the five people is:
E - B - D - C - A. - Answer: The person sitting in the center (the third position) is D.
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?
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- Positions: There are 6 positions in the row:
_ _ _ _ _ _. - Clue 1:
D is on the extreme right._ _ _ _ _ D - Clue 2:
B is between F and D.This means the order isF B D._ _ _ F B D - Remaining People: A, C, and E are left to be placed in the first three spots.
- Clue 3:
E is between A and C.This forms a block of three:A E CorC E A. This block must occupy the first three positions. - Clue 4:
A is not sitting beside F.F is in the 4th position. Therefore, A cannot be in the 3rd position. - Elimination:
- If the block is
C E A, then A would be in the 3rd position, which is next to F. This violates Clue 4. - Therefore, the block must be
A E C.
- If the block is
- Final Arrangement: Placing the block
A E Cinto the remaining spots gives the final order:A E C F B D. - Answer: The person to the immediate right of A is E.
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?
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- Setup:
- Row 1:
_ _ _ _(Facing South) - Row 2:
_ _ _ _(Facing North) (Note: "Left" for Row 1 is our right, and "Right" is our left).
- Row 1:
- Combine Core Clues:
C is between D and EgivesD-C-EorE-C-D.H is to the immediate left of E. If they are in the South-facing row, the order isH-E-C-D. If they are in the North-facing row, the order isD-C-E-H. The combined blockH-E-C-Daccounts for all 4 people in a single row. Let's place them in Row 1.- Row 1:
H E C D
- Place Opposite Members:
B sits in front of C.- Row 1:
H E C D - Row 2:
_ _ B _
- Row 1:
- Use Diagonal Clue:
H and F are diagonally opposite.H is at one end of Row 1, so F must be at the opposite end of Row 2.- Row 1:
H E C D - Row 2:
_ _ B F
- Row 1:
- Use Neighbor Clue:
G is not a neighbor of B.In Row 2, B is in the 3rd spot. G cannot be in the 2nd or 4th spot. The only position left for G is the 1st spot.- Row 1:
H E C D - Row 2:
G _ B F
- Row 1:
- Place Last Person:
- The only person remaining is A, and the only spot left is the 2nd position in Row 2.
- Row 1:
H E C D - Row 2:
G A B F
- Row 1:
- The only person remaining is A, and the only spot left is the 2nd position in Row 2.
- Answer: The person sitting in front of A is E.