Puzzles and Seating Arrangement - SSC Reasoning
Types of Seating Arrangement
1. Linear Arrangement
- People sitting in a row
- Can face North or South
- Left-Right relationships
2. Circular Arrangement
- People sitting around a circle
- Can face center or outside
- Clockwise/Anti-clockwise
3. Rectangular/Square Arrangement
- People at corners and sides
- 4 sides, 4 corners = 8 positions
Solving Strategy
Step 1: Read Carefully
- Note all conditions
- Mark definite positions first
Step 2: Draw Diagram
- Visual representation helps
- Mark faces direction
Step 3: Use Given Information
- Start with most definite clue
- Build around it
Step 4: Eliminate Options
- Check each option against conditions
- One by one elimination
Linear Seating
Example:
- 5 people: A, B, C, D, E
- A sits at one end
- B sits next to A
- C sits in middle
Solution:
Position: 1 2 3 4 5
Possible: A B C ? ?
or
? ? C B A
Circular Seating
Important Points
Facing Center:
- Left = Clockwise
- Right = Anti-clockwise
Facing Outside:
- Left = Anti-clockwise
- Right = Clockwise
Example:
- 6 people sitting, facing center
- A opposite to D
- B to immediate left of A
- C not adjacent to A
Common Puzzle Types
Type 1: Ranking/Position
“In a class of 40, A ranks 15th from top. What is rank from bottom?”
Rank from bottom = Total - Rank from top + 1
= 40 - 15 + 1 = 26
Type 2: Comparison
“A is taller than B but shorter than C”
Order: C > A > B
Type 3: Floor Puzzles
- Building with multiple floors
- Who lives on which floor
- Who lives above/below whom
Solved Examples
Q1: 5 persons A, B, C, D, E sitting in a row. A and B sit together. C not next to A. D at one end. Find possible arrangement.
Solution:
D at end: D _ _ _ _
A and B together: D A B _ _
C not next to A: D A B E C
Answer: D A B E C (or reverse)
Q2: In circular table, 6 people facing center. A opposite D, B to left of A, C between D and E. Where is E?
Solution:
Draw circle:
- A opposite D (fix positions)
- B left of A (clockwise)
- C between D and E
Answer: E is to right of D
Important Tricks
Trick 1: Opposite in Circle
In circle of n people:
Opposite position = n/2 positions away
(Works only for even n)
Trick 2: Total Persons
If A is mth from left and nth from right:
Total = m + n - 1
Trick 3: Between Two
Persons between A and B = |Position_A - Position_B| - 1
💡 Pro Tip: Always draw diagrams! Practice with timer - 3-4 minutes per puzzle maximum.