Seating Arrangement

Quick Revision: Seating Arrangement

🔑 Key Facts

  • Types: Linear, Circular, Rectangular, Row & Rank, Matrix
  • Always draw a blank diagram first – saves 30 s per set
  • Left/Right = your left/right when you face the same direction as the person
  • Clockwise = left-to-right in circular; Anti-clockwise = right-to-left
  • Opposite = (n/2) seats apart in even-circle; Adjacent = ±1 seat
  • “Who sits third to the left of X?” – start from X, count anti-clockwise
  • Immediate left/right – no gap
  • Same direction vs facing centre – direction decides left/right
  • Row-rank formula: Rank from left + Rank from right = Total + 1
  • Minimum persons between A & B = |positionA – positionB| – 1

đź§  Memory Tricks

Mnemonic Use
LEFT = LOOK LEFT (your left when you face the row) Never flip direction
CLOCK = COUNT CLOCKWISE Circular left-to-right
Rank Rule Remember: L + R = T + 1 Row-rank quick calc
DRAW DIAGRAM DURING DATA 4-D rule – 15 s investment
ADJACENT = ALWAYS AT ARM’S LENGTH (±1) Gap zero

🔍 Comparison Table: Linear vs Circular

Feature Linear Circular
Ends 2 fixed ends No ends
Direction confusion Low High (clockwise rule)
Opposite seat Not defined Exactly across
Adjacent 2 max 2 max
Quick tip Label 1 to n clockwise Mark North-top, read clockwise

⚡ Rapid-Fire MCQs

1. P, Q, R, S, T sit in a row. P is third from left. T is immediate right of P. Q is left of P but not immediate. Who is at extreme right? Answer: S
2. Six persons sit around a circle facing centre. A is third to right of B, who is left of C. Who is opposite C? Answer: A
3. In a row of 40 boys, Ram is 15th from left. What is his rank from right? Answer: 26
4. A matrix 5Ă—5. A is 3rd row, 2nd column. B is 4th row, 4th column. How many persons are between them in the same column? Answer: 0
5. Eight around a table; clockwise: M,N,O,P,Q,R,S,T. Who is 3rd to left of Q? Answer: N
6. If all seats face centre, “immediate left” means which direction? Answer: Anti-clockwise next
7. In a row, X is 8th from left, Y is 7th from right, 3 boys between them. Total boys? Answer: 18
8. Who can sit between A and B in a circular arrangement of 6, if A and B are opposite? Answer: 2 persons
9. Minimum persons required so that exactly 4 sit between P and Q in a circle? Answer: 10
10. Quick calc: Rank from left = 12, Total = 30. Rank from right? Answer: 19