Important Formulas: Seating Arrangements | SSC CGL Tier 2 - Study Material, Online Tests, Previous Year PDF Download

Definition

Seating Arrangement Techniques

1. Towards Left: Clockwise Rotation.
2. Towards Right: Anticlockwise Rotation.

Facing Outwards:

1. Towards Left: Anticlockwise Rotation.
2. Towards Right: Clockwise Rotation.

Types of Seating Arrangements

1. Linear Seating Arrangement:

   • Arrangement in a single row, requiring placement based on specified conditions.

2. Double Row Seating Arrangement:

   • Involves two groups seated in two rows, facing each other. Rows typically face North and South directions.

3. Circular Seating Arrangement:

   • Arrangement around a circular table, with variations:
     • Facing center of the table.
     • Facing outward of the table.
     • Mix of facing center and facing outward.

4. Square/Rectangular Seating Arrangement:

   • Arrangement around a square/rectangular table, similar to circular seating arrangement, involving inward, outward, or mixed facing questions.

Formulas for Seating Arrangement

• Linear Seating Arrangement:

  • Adjacent Seats: Treat two individuals sitting next to each other as a single unit for arrangement purposes.

• Circular Seating Arrangement:

  • Clockwise and Counterclockwise: Keep track of both clockwise and counterclockwise positions.

• Rectangular Table Seating:

  • Rows and Columns: Identify rows and columns for better organization.
  • Facing Each Other: Individuals facing each other occupy opposite corners.

• Grouping and Arrangement:

  • Clusters or Groups: Form clusters based on related conditions.
  • Group Arrangements: Arrange individuals within the group as per specific conditions.

• Fixed Positions and Constraints:

  • Fixed Elements: Place elements with fixed positions first as reference points.
  • Using Constraints: Utilize given constraints to eliminate invalid positions and refine the arrangement.

Solved Questions on Seating Arrangements :

Q1: Five friends – Alice, Bob, Carol, David, and Eve – are sitting in a row facing north. If Carol is sitting two places to the left of Eve, who is sitting at one of the ends?
(a) Alice
(b) Bob
(c) Carol
(d) David
Ans:  (b)
If Carol is two places to the left of Eve, the arrangement could be: David, Carol, Alice, Eve, Bob. Bob is sitting at one of the ends.

Q2: In a circular seating arrangement, six students – Alex, Ben, Chris, David, Eve, and Frank – are sitting equidistant from each other. If David is sitting between Ben and Chris, who is sitting directly opposite to Alex?
(a) Ben
(b) Chris
(c) Eve
(d) Frank
Ans:  (d)
Since David is sitting between Ben and Chris, the arrangement could be: Eve, Alex, Chris, David, Ben, Frank. Frank is sitting directly opposite to Alex.

Q3: Seven people – Alice, Bob, Carol, David, Eve, Frank, and Grace – are sitting in a circle for a discussion. If Alice is sitting two seats to the right of Bob, who is sitting next to Carol?
(a) Alice
(b) Bob
(c) David
(d) Frank
Ans:  (c)
If Alice is two seats to the right of Bob, the arrangement could be: David, Grace, Carol, Bob, Alice, Frank, Eve. David is sitting next to Carol.

Q4: A rectangular table has six seats on each of its longer sides and four seats on each of its shorter sides. If Alice is sitting in one of the corners and Bob is sitting two seats to the right of Alice, who is sitting diagonally opposite to Alice?
(a) Carol
(b) David
(c) Eve
(d) Frank
Ans:  (c)
If Bob is two seats to the right of Alice, the arrangement could be: David, Eve, Bob, …, …, …, …, Alice. Eve is sitting diagonally opposite to Alice.

Q5: Ten students – Alex, Ben, Carol, David, Eve, Frank, Grace, Harry, Ivy, and Jack – are sitting in a row facing north. If Alex is sitting two places to the left of Frank, who is sitting exactly in the middle?
(a) Ben
(b) Carol
(c) David
(d) Eve
Ans:  (b)
If Alex is two places to the left of Frank, the arrangement could be: Grace, Harry, Ivy, Alex, Frank, Eve, David, Carol, Ben, Jack. Carol is sitting exactly in the middle.