Linear, Circular and Complex Arrangement Notes for SSC Exams

Seating arrangement questions, also called linear, circular and complex arrangement, are puzzles in which several persons or things are placed in a row, around a table or on floors according to given clues. You have to use the clues to find the exact position of each person and then answer the questions. This chapter carries many questions in SSC Reasoning papers, and it becomes easy when you follow a fixed method. These arrangement notes for SSC explain the linear, circular and complex (floor and box) types with rules, solved examples and practice questions.

Types of Arrangement

Step-by-Step Method for Every Puzzle

1. Read all the clues once and find the clue that gives a definite position, such as "A sits at the extreme left".
2. Draw a blank diagram with all the places numbered.
3. Place the definite clues first. Then place the clues that connect two persons.
4. Use conditional clues, such as "either A or B", only after the main clues are done.
5. Check every clue once again against your final arrangement before answering.

Linear Arrangement Rules

• When people face North, their left is the West side (your left on the page) and their right is the East side.
• When people face South, their left is your right and their right is your left.
• "Immediate left" means the person is next to the left without any gap.
• "Third from the left" and "third from the right" are counted from the two different ends.
• In a row of n persons, the position from the right = n − position from the left + 1.

Example 1. Five persons P, Q, R, S, T sit in a row facing North. Q sits at the extreme left. R sits at the extreme right. P sits in the middle. S sits to the immediate left of P. T sits to the immediate right of P. Who sits between Q and P?
Positions: Q (1), S (2), P (3), T (4), R (5). Answer: S.

Circular Arrangement Rules

• If the persons face the centre, the left of a person is the clockwise direction, and the right is the anticlockwise direction.
• If the persons face outside, the left of a person is anticlockwise, and the right is clockwise.
• In a circle of n persons (n even), the person opposite to position k is at position k + n/2.
• "Second to the left of A" means move two places from A in the direction of left.

Example 2. Six persons A, B, C, D, E, F sit around a circular table facing the centre. A sits opposite D. B sits to the immediate right of A. C sits to the immediate left of A. F sits to the immediate left of D. Who sits opposite B?
Number the positions 1 to 6 clockwise and put A at 1. D is opposite A, so D is at 4. Facing the centre, right is anticlockwise, so B is at 6. Left is clockwise, so C is at 2. F is to the immediate left (clockwise) of D, so F is at 5. The remaining place 3 belongs to E.
Final order: A (1), C (2), E (3), D (4), F (5), B (6). The person opposite B (position 6) is at position 3. Answer: E.

Floor and Complex Arrangement

In these puzzles, persons live on floors of a building, and the lowest floor is numbered 1. Write the floors as a vertical list and fill it clue by clue.

Example 3. P, Q, R, S, T live on five floors numbered 1 (bottom) to 5 (top). R lives on the top floor. P lives immediately below R. T lives on floor 1. Q lives above S. Who lives between S and P?
R is on floor 5, P on floor 4 and T on floor 1. The floors 2 and 3 are left for S and Q. Q lives above S, so S is on floor 2 and Q is on floor 3. Answer: Q.

Handling Difficult Clues

• Either-or clues: draw two possible cases and eliminate the one that fails on the other clues.
• Negative clues: "A does not sit next to B" helps you cancel positions and is used at the end.
• Distance clues: "three places away" means there are two persons in between.
• Facing clues: if two people face opposite directions, the left and right for one are reversed for the other.
• Two rows: persons in the two rows usually face each other, so the left of one row is the right of the other.

Quick Tips

• Always start with the clue that gives a fixed position or a fixed pair.
• Use initials in the diagram, and use a pencil mark for uncertain positions.
• In circle questions, fix one person at the top and number the others clockwise.
• Check the facing direction before using the words left and right.
• Verify every clue at the end, because one wrong placement ruins all answers.

Quick Revision Points

• Facing North means your left is the left of the page.
• Facing the centre means left is clockwise, and right is anticlockwise.
• Facing outside reverses both of these.
• In a circle of n persons, the opposite of position k is k + n/2.
• Fill definite clues first, conditional clues last.

Practice Questions With Answers

1. In a row of 20 persons, A is 8th from the left. What is his position from the right?
   Answer: 13th (20 − 8 + 1).
2. Ten equally spaced persons sit around a circle, numbered 1 to 10. Who is opposite person 1?
   Answer: Person 6.
3. Four friends A, B, C, D sit in a row facing North. D sits at the extreme left. C sits at the extreme right. A sits to the immediate left of B. Who sits second from the right?
   Answer: B (order is D, A, B, C).
4. Five persons P, Q, R, S, T sit around a circular table facing the centre in clockwise order P, Q, R, S, T. Who sits to the immediate left of R?
   Answer: S.
5. In the arrangement of Question 4, who sits second to the right of P?
   Answer: S (right is anticlockwise: T first, then S).
6. If the same five persons face outside instead, who sits to the immediate left of R?
   Answer: Q (left is anticlockwise when facing outside).
7. In a six-floor building, A lives on floor 3. B lives two floors above A. C lives immediately below A. Who lives on floor 5?
   Answer: B.
8. In a row of 10 persons, M is 4th from the left and N is 4th from the right. How many persons are between them?
   Answer: 2 (N is 7th from the left, so positions 5 and 6 are between).
9. In a circle of 8 persons, A is third to the right of B. Then B is how many places to the left of A?
   Answer: Third (the relation reverses).
10. Four persons P, Q, R, S sit in a row. Q sits at the left end. S sits at the right end. R sits to the right of P. Who sits between Q and R?
    Answer: P (order is Q, P, R, S).

How to Practise This Chapter

Start with simple linear puzzles, move to circular ones, and finally try floor and complex puzzles. Solve at least two puzzles daily, and time yourself. Then attempt sets from our practice papers and check how arrangements are asked in real exams on the previous year papers page. Read Direction Test before this chapter and Ranking Order and Sequence after it.

Explore More SSC Subjects

SSC exams test many subjects, so connect this topic with the related subjects below:

• Quantitative Aptitude Notes
• English Notes
• General Awareness Notes
• Computer Knowledge Notes
• Stenography Notes
• All SSC subjects and notes

Frequently Asked Questions

What is seating arrangement in reasoning?

Seating arrangement is a reasoning topic in which a group of persons is placed in a row, around a table or on floors according to given clues, and questions are asked about their positions.

What are the types of arrangement questions in SSC?

SSC asks linear arrangement, circular arrangement, square or rectangular arrangement, floor-based puzzles and sometimes complex puzzles that combine more than one condition.

How many arrangement questions come in SSC exams?

The number changes every year, but usually a puzzle set of three to five questions, or a few single questions, is asked in the Reasoning section.

Where should I start in a seating arrangement puzzle?

Start with the clue that gives a definite position, such as an end position or a fixed pair. Then add the other clues one by one.

How do I know left and right in a circular arrangement?

If the persons face the centre, left is clockwise and right is anticlockwise. If they face outside, left is anticlockwise and right is clockwise.

How do I find the person opposite to someone in a circle?

For an even number of persons n, the opposite of position k is the person at position k + n/2, or k − n/2 if the sum goes beyond n.

What does "second to the left" mean?

It means the person who is two places away from the given person in the direction of left. The person immediately to the left is first, and the next one is second.

How do I handle clues with two possible cases?

Draw both cases separately and test the remaining clues on each. The case that breaks any clue is cancelled, and the other case gives the final arrangement.

Why do I get stuck in puzzles?

Students usually get stuck because they start with the wrong clue, ignore the facing direction, or do not draw a diagram. Use a diagram and start from a definite clue.

How much time should I spend on one puzzle?

A puzzle with four to five questions can take three to five minutes. Solve the easy puzzles first and leave the longest puzzle for the end.

Is there any shortcut to solve arrangement puzzles?

The shortcut is accuracy. A clear diagram, definite clues first and a final check against every clue are faster than guessing, because one mistake can change all the answers.

What is a floor-based puzzle?

In a floor-based puzzle, persons live on different floors of a building. The lowest floor is number 1, and you fill the floors one by one using clues like "above", "below" and "between".

Are arrangement questions the same in Hindi medium papers?

Yes. The same puzzle types are asked in Hindi medium papers, with terms like left, right, facing and centre written in Hindi.