Seating Arrangement Puzzles

• To solve linear (row) and simple circular seating puzzles using fixed positions.
• To translate clues like left/right, between, next to, and opposite into a diagram.
• A step-by-step method: anchor one person, then fill neighbours from definite clues.
• Skills used in CBSE Class 5 reasoning and olympiad-style logical thinking.

Level 1 — Linear seating

Verbal: In a row facing north, your left is west and right is east — draw arrows to avoid swap errors.

Symbolic: Positions: _ _ _ _ _ (five chairs); fill from fixed clue.

Verbal method: 1) Read all clues. 2) Draw empty seats. 3) Place most fixed person first.

Level 2 — Circular seating (intro)

Verbal: Opposite in even circle of 8 = 4 seats apart; in 6 seats, opposite = 3 apart.

Real-life: Dinner table seating plan; school assembly row numbers.

Five friends A, B, C, D, E sit in a row facing north. A is at the left end. B sits immediately right of A. C is between B and D. E is not at either end. Find the order.

Step 1 — A at left end: A _ _ _ _
Step 2 — B immediately right of A: A B _ _ _
Step 3 — C between B and D → block B–C–D in positions 2–3–4: A B C D _
Step 4 — E not at end → E cannot be position 5; only position 3 left for E without breaking B–C–D
Step 5 — Rebuild: A B E C D puts C between B and D ✓ and E in middle (not at end) ✓
Answer: A, B, E, C, D (left to right)

Simpler: 3 chairs. X middle, Y left of X. Order?

Step 1 — Y _ X or Y X _ ; X middle → Y X Z
Answer: Y, X, Z left to right.

• Four seats in row, A at right end, B left of A — where is B?
• What does "opposite" mean in 6-seat circle?
• Draw five empty chairs and label "facing north."
• Stretch: Six children circle; A opposite D; B right of A — sketch one valid arrangement.

Revision tip: Use coins on desk as seats — move them as you read each clue aloud.

Open the Practice tab for graded questions on Seating Arrangement Puzzles.