Quantitative Aptitude · Seating Arrangements

Strategy and Practice for Seating Arrangement Questions

Updated 1 October 2026 · Fact-checked

A seating arrangement question gives clues about who sits where, and you must place everyone and answer. Solve it by fixing definite clues first, branching only on conditional ones, drawing a clean diagram, and rejecting cases that break a clue. Check the final layout against every clue before answering.

Understand Strategy and Practice for Seating Arrangement Questions

A seating arrangement question describes a group of people in a row, around a table or in a grid. You get a set of clues and one or more questions. The clues are enough to answer, but only if you use them in the right order.

Clues are of two kinds. Definite clues fix a position straight away, such as "A sits at the extreme left" or "B is opposite C". Conditional clues do not fix a position by themselves, such as "P sits next to Q" or "R is not at either end". Definite clues go on the diagram first. Conditional clues are used to narrow down the options.

When a clue gives two possibilities, you draw two cases. You carry both forward and cross out a case when a later clue breaks it. If one case survives, the arrangement is unique. If two survive, only the facts common to both are certain, and the question will usually ask about those.

Most marks are lost through direction errors and misreading words like "immediate", "second to" and "between", not through hard logic. In an objective paper with 0.25 negative marking, a careful diagram beats a fast guess. This page gives you a method that works on any question and a quick version for when time is short.

Key formulas to remember

Left and right in a row: Facing north: your left = west side, your right = east side; If people face north, the left of the page is their west, so their left is toward the left of your page. If they face south, left and right swap on your page.
Left and right in a circle: Facing centre: left = clockwise, right = anticlockwise. Facing outside: left = anticlockwise, right = clockwise; Decide the facing first and write it next to the diagram. A wrong facing flips every answer.
Persons between two people: Persons between positions a and b = |a − b| − 1; Count only the people strictly between them. Positions 2 and 5 have 2 people between.
Opposite in a circle with n equally spaced people (n even): Opposite of position k = k + n ÷ 2 (subtract n if the result is more than n); For 6 people, 1 is opposite 4, 2 opposite 5, 3 opposite 6. Odd n has no exact opposite.
Second to the left or right: "X is second to the left of Y" means two places to Y's left, with one person between; "Immediate" means one place only, with nobody between.
Case rule: Every case must satisfy all clues; a case that breaks any one clue is rejected; A statement is certain only if it is true in every surviving case.

How to solve Strategy and Practice for Seating Arrangement Questions questions

Use this order on any seating arrangement question. It keeps you from placing people by guesswork.

1Read the first line and note the shape (row, circle, square), the number of people, and which way they face. Write the facing next to your diagram.
2Draw an empty skeleton with numbered positions, for example five boxes in a row or six dots on a circle.
3Mark every definite clue first. Ends, centre, fixed distances and "opposite" clues go in before anything else.
4Take conditional clues one at a time. Pick the clue that has the fewest possible placements and use it next.
5If a clue gives two options, draw both as Case 1 and Case 2. Do not guess one.
6After each new clue, cross out any case that now breaks a clue. Keep a short list of what is still free.
7When all clues are used, check the final layout against every clue once more, reading the clue words slowly.
8Answer the question from the diagram. If cases remain, choose only what holds in all of them.

Quickest way: Fast diagram method under time pressure

When to use it: Use this in the objective paper when you have about a minute and a half per question and must decide quickly whether to attempt or skip.

Scan all clues for ones with fixed positions (extreme, opposite, centre) and place those in under 15 seconds.
Use single letters and arrows on a rough diagram. Do not write full names.
Build chains such as R-T (R immediately left of T) as a block, then slide the block into the open positions.
Answer from the first surviving arrangement only if the question asks about something certain. If the options contain "cannot be determined", test the second case.
Eliminate options by checking each against one clue instead of rebuilding the whole layout.
If after two minutes more than two cases are alive, skip. Wrong answers cost 0.25 marks and the time is better spent elsewhere.

Common mistakes in Strategy and Practice for Seating Arrangement Questions

Mixing up left and right when people face the centre of a circle
You think of left and right from your own view of the page instead of from the seated person's view.
Fix: Write "facing centre: left = clockwise, right = anticlockwise" beside the diagram before placing anyone, and apply it to every clue.
Treating "second to the left" as the next seat
Students rush and read "second" as "adjacent".
Fix: Say it as "one person in between". Count two places from the reference person, not one.
Picking one case early for an either-or clue
You want a single neat diagram and hope the guess works.
Fix: Draw both cases side by side. Reject a case only when a clue actually breaks it.
Ignoring negative clues such as "not at either end" or "not adjacent to S"
Negative clues feel weaker, so they are used last or skipped.
Fix: Use a negative clue to cross out positions in the skeleton as soon as you read it. It often decides which case survives.
Counting the two named people when finding how many sit between them
You count positions instead of the people strictly in between.
Fix: Use |a − b| − 1, or tick off only the seats between the two names.
Not rechecking the final arrangement
Time pressure makes you trust the diagram once it looks complete.
Fix: Spend ten seconds testing the finished layout against each clue. One broken clue means a wrong answer.

Worked examples

Example 1

Five friends P, Q, R, S and T sit in a row facing north. Q sits at the extreme right end. R sits immediately to the left of Q. P sits second to the left of R. T sits between P and R. Who sits at the extreme left end? (a) P (b) Q (c) S (d) T

Show the solution

Number the positions 1 to 5 from left to right. Facing north, left is the left side of your page.
Q is at the extreme right, so Q = 5.
R is immediately left of Q, so R = 4.
P is second to the left of R, so one person is between them. P = 2.
T sits between P and R, so T = 3.
The only person left is S, so S = 1.
Arrangement: S, P, T, R, Q. Every clue holds.

Answer: (c) S

Example 2

Six persons A, B, C, D, E and F sit around a circular table facing the centre. A is opposite D. B is second to the left of A. C is immediately to the right of A. E is not adjacent to A. Who sits opposite C? (a) B (b) D (c) E (d) F

Show the solution

Number the seats 1 to 6 clockwise. Facing the centre, left is clockwise and right is anticlockwise.
Put A at seat 1. D is opposite, so D = 4.
B is second to the left of A, which means two seats clockwise from A. B = 3.
C is immediately right of A, which means one seat anticlockwise from A. C = 6.
Seats 2 and 5 remain for E and F. Seat 2 is next to A, and E is not adjacent to A, so E = 5 and F = 2.
Opposite pairs are 1-4, 2-5 and 3-6. C is at 6, so the person opposite is at seat 3, which is B.

Answer: (a) B

Example 3

Five persons P, Q, R, S and T sit in a row facing north. S sits at the left end. R does not sit at either end. T sits immediately to the right of R. P and Q sit next to each other. Q is not at the right end. T is not at the right end. Who sits at the right end? (a) P (b) Q (c) R (d) T

Show the solution

Number positions 1 to 5 from left to right. S = 1.
R is not at an end, so R is in 2, 3 or 4. T is immediately right of R, so R-T is a block.
Case 1: R = 2, T = 3. Then P and Q take 4 and 5, which are adjacent. Q is not at the right end, so Q = 4 and P = 5. Arrangement: S, R, T, Q, P.
Case 2: R = 3, T = 4. Then P and Q take 2 and 5, which are not adjacent. Rejected.
Case 3: R = 4, T = 5. T would be at the right end, which is not allowed. Rejected.
Only Case 1 survives. The right end is position 5, which is P.

Answer: (a) P

Exam tips

Spend your first ten seconds on the shape, number of people and facing. A wrong facing makes every option look plausible.
Questions that share one set of clues are the best value in the paper. One diagram can answer several questions, so build it carefully once.
Read the options before drawing a second case. If only one option fits the first case, you may not need the second.
Watch for "cannot be determined" as an option. It is correct only when surviving cases give different answers.
If a puzzle needs more than three cases, skip it and return only if time remains. Negative marking makes a blind guess costly.

Practice questions from Seating Arrangements

Strategy and Practice for Seating Arrangement Questions: frequently asked questions

How do I solve seating arrangement questions fast?

Place the definite clues first, then use the conditional clue with the fewest options. Use single letters on a rough skeleton and avoid redrawing. Practice builds speed because you learn to spot fixed positions in seconds.

What is the difference between definite and conditional information?

A definite clue fixes a position, for example "A is at the left end". A conditional clue only links or restricts people, for example "B sits next to C" or "D is not at an end". Place definite clues first and use conditional ones to eliminate cases.

What should I do when a clue gives two possibilities?

Draw both as separate cases and carry them forward. Reject a case only when a later clue breaks it. If both survive, answer only with facts true in both cases.

Are seating arrangement questions asked in CA Foundation?

Seating arrangement falls under Logical Reasoning in Paper 3, Quantitative Aptitude, which is an objective MCQ paper with 0.25 negative marking. Practise with ICAI's own questions and past papers to see the style.