Seating puzzles look hard but follow one routine. Draw the seats, place the fixed clue first, then build outward one name at a time.
This lesson covers drawing, row puzzles, circle puzzles and outward-facing seats, with solved examples.
- Draw: Seats first, clues second.
- Anchor: Start with a fixed spot.
- Row: Left is left of the page.
- Circle: Count seat by seat.
- Outward: Left and right swap.
What Are Seating Arrangement Puzzles?
What is the puzzle?
A few people sit in a row or around a table. You get clues about who sits where.
You use the clues to place every person.
Why do exams love it?
One set of clues can bring two to five questions. So one puzzle is worth several marks.
It tests care, not speed of arithmetic.
What are the two main shapes?
A straight row, where people face the same way or face each other.
A circle, where people face the centre or face outward.
Check
Every seating puzzle gives clues that let you place each person.
Step One: Draw the Seats First
Why draw before reading the clues?
A drawing turns words into places. You can see the gaps.
Draw numbered boxes for a row. Draw a circle with dots for a table.
What goes in first?
Start with the clue that gives a fixed spot. Words like middle, end or opposite are the best ones.
Write that name in your drawing at once.
What comes next?
Build outward from the fixed person. Each clue adds one more name.
Leave the vague clues for last.
Check
Place the clue with a fixed position first.
Step Two: Solve a Row Puzzle
What do left and right mean in a row?
Everyone faces the same way, so your left is the left of the page.
Position 1 is the left end, unless the question says otherwise.
Can you see it solved?
Five people P, Q, R, S, T sit in a row. R sits in the middle. S sits immediately left of R. T sits at the right end. Q sits at the left end.
R is in seat 3 and S in seat 2. T is in seat 5 and Q in seat 1. So P is in seat 4.
Why this works: the fixed clues fill seats 1, 3 and 5. Each other clue then adds one name until one seat is left.
Can you solve a longer row?
Six people A to F sit in a row, all facing north. B sits at the left end. D sits second to the right of B.
F sits immediately right of D. A sits between B and D. E sits at the right end.
B is seat 1 and D is seat 3, so A is seat 2. F is seat 4 and E is seat 6, so C is seat 5.
Why this works: second to the right of B means skip one seat, so D is in seat 3.
What if two rows face each other?
Then your left is the other person’s right.
Mark which way each row looks before you place anyone.
Check
When everyone faces the same way, left in the drawing is left for each person.
Step Three: Solve a Circle Puzzle
What does facing the centre change?
Left and right now depend on where each person sits.
Opposite means across the circle. In a circle of 4, exactly one person is opposite you.
Can you see it solved?
Four people A, B, C, D sit around a table, facing the centre. B sits opposite A. C sits on the right of A.
The only seat left beside A is on A’s left. So D sits immediately left of A.
Why this works: a circle of four has A, its opposite B and two side seats. C takes one side seat, so D must take the other.
Can you solve a circle of six?
Six people A to F face the centre. B sits second to the right of A. C sits opposite A.
D sits immediately left of A. E sits immediately right of C.
Facing the centre, right is anticlockwise. Put A at the top, then D is next clockwise, and B is two seats anticlockwise.
C is across at the bottom, and E is one seat anticlockwise from C. F is left, between B and A.
Why this works: the opposite seat in a circle of six is three places away.
How do you count positions?
Second to the right means skip one person and go to the next on the right.
Use a pencil dot for each seat and count with your finger.
Check
In a circle of 4, only one person sits opposite you.
Step Four: When People Face Outward
What changes?
Left and right swap compared to facing the centre.
The person on your right when you face in is on your left when you face out.
Why is this a trap?
Many puzzles mix both directions. A careless mark flips the whole answer.
Write “in” or “out” beside the drawing before you start.
Can you see the swap solved?
A faces outward. B sits immediately right of A.
Facing out, right is clockwise, so B sits one seat clockwise from A.
If A faced the centre, B would sit on the anticlockwise side instead.
Why this works: turning round makes your right hand point the other way.
How do you stay safe?
Re-read every left and right clue once the facing is known.
Check your final drawing against each clue, one by one.
Check
When people face outward, left and right swap compared to facing the centre.
Common Traps and Quick Tips
What mistakes cost marks?
Placing someone by guesswork when two seats still fit.
Forgetting that “next to” can mean either side.
How do you stay quick?
Use only the first letter of each name. Keep clues in a short list.
If two options stay open, mark both lightly and wait for the next clue.
How should you practise?
Solve one row puzzle and one circle puzzle a day.
Then try the quiz below and read every explanation.
Check
A clue that fits two seats should not be used until another clue narrows it.
Exam Traps
Draw the seats before reading the clues.
Place the fixed-position clue first.
In a row facing one way, left is page-left.
In a circle, count seats with your finger.
Outward facing swaps left and right.
MCQ on Seating Arrangement Puzzles
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Practice 19 MCQs on this topic
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