Seating Arrangements for CA Foundation Quantitative Aptitude

What this chapter covers

Seating Arrangements: topics in the order to study them

1. 1Linear Seating ArrangementIt is the simplest layout, so you learn clue reading, left and right, and facing direction here first.
2. 2Circular Seating ArrangementIt builds on the linear method and adds the difference between facing the centre and facing outward, which flips left and right.
3. 3Rectangular and Square Seating ArrangementIt applies the circular direction rules to a fixed shape with corners and side midpoints.
4. 4Double Row Seating ArrangementIt combines two linear rows facing each other, so you need the linear skills and careful facing logic.
5. 5Puzzle-Based and Multi-Attribute ArrangementsIt adds extra attributes and needs a table plus a seating diagram, so learn it after the basic layouts feel easy.
6. 6Strategy and Practice for Seating Arrangement QuestionsIt comes last because it covers timing, skipping decisions and mixed practice once you know every layout.

How to prepare Seating Arrangements

1. Learn the direction rules first. In a line, note which way people face. In a circle, note whether they face the centre or outward, because left and right swap between the two.
2. Practise reading clues. Turn each sentence into a short symbol, for example A–B for adjacent, or A → B for A is to the left of B. Write it beside the diagram.
3. Always sort clues into definite and conditional. Place the definite ones first. Hold conditional clues like 'either P or Q' as options and test them later.
4. Solve three or four easy questions for each layout, in the study order. Redraw the full diagram every time rather than doing it in your head.
5. Move to multi-attribute puzzles. Use a small table for attributes and a diagram for positions, and update both as clues fix.
6. Do timed mixed sets. Allow a fixed time per set, mark sets that look long, and skip any that stall you after a couple of minutes.
7. Review every error. Find whether you misread a direction, missed a clue or made an assumption the clues did not support.

Common mistakes in Seating Arrangements

• Mixing up left and right

  Fix: Mark the facing direction next to each seat and read left and right from the seated person's point of view.

• Assuming circular seating faces the centre

  Fix: Read the facing line every time. If it says outward or mixed, redraw the direction arrows before placing anyone.

• Placing conditional clues too early

  Fix: Place definite clues first. Keep conditional clues as cases and only fix them when another clue forces it.

• Adding facts the clues do not give

  Fix: If a seat is not forced, leave it open. Answer 'cannot be determined' type options only when the clues really leave it open.

• Not checking the final diagram

  Fix: Spend a few seconds testing each clue against the finished diagram. One violated clue means a wrong answer on the whole set.

• Spending too long on one hard set

  Fix: Set a time limit per set. If the arrangement is not settling, move on, since a wrong guess costs 0.25 marks.

Last-day revision: Seating Arrangements

• ✓Read the whole set of clues once before drawing anything.
• ✓Check whether people face north, south, the centre or outward before placing them.
• ✓In a circle facing the centre, your left is the anticlockwise side of your seat and your right is the clockwise side.
• ✓If the circle faces outward, left and right swap compared with facing the centre.
• ✓Two people facing each other in a double row are in opposite rows.
• ✓Place definite clues first, then use conditional clues to cut options.
• ✓Write every possible case when a clue gives two options, and drop cases that contradict later clues.
• ✓Immediate neighbour means directly next to, with no seat in between.
• ✓Use only what the clues say. Do not assume gender, order or direction.
• ✓Check the finished diagram against every clue before you answer.
• ✓With negative marking, skip a set if the diagram will not settle after a fair attempt.

Seating Arrangements practice questions

• Four married couples are to sit around a circular table so that every husband sits next to his wife. In how many different ways can the eigh…
• Eight people sit around a circular table. Priya sits directly opposite to Qasim. Rajesh sits two seats clockwise from Qasim. Shalini sits di…
• Six persons P, Q, R, S, T and U sit in a row facing north. S sits at one of the extreme ends. R sits second to the right of S. Q sits betwee…
• Six colleagues sit around a circular table, all facing outside (away from the centre). Seen from above, the clockwise order is Anil, Bhavna,…
• Ravi is sitting in a single row of people, all facing north. He is 12th from the left end and 15th from the right end. How many people are t…
• Five colleagues Ravi, Sita, Tarun, Uma and Vikas sit in a row facing north. Ravi sits at the extreme left end and Uma at the extreme right e…
• In how many ways can 6 persons be seated around a circular table if two particular persons must always sit next to each other?
• Six friends Anil, Bina, Chetan, Deepa, Esha and Farhan sit around a circular table, all facing the centre. Anil sits second to the left of B…