Important Formulas: Seating Arrangements | General Intelligence and Reasoning for SSC CGL PDF Download

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Seating Arrangement Techniques

• Towards Left: Clockwise Rotation.
• Towards Right: Anticlockwise Rotation.

2. Facing Outwards:

• Towards Left: Anticlockwise Rotation.
• Towards Right: Clockwise Rotation.

MCQ: Seating Arrangements- 1

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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 the center of the table.
• Facing outward of the table.
• The mix of facing center and facing outward.

1. 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

1. Linear Seating Arrangement:

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

2. Circular Seating Arrangement:

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

3. Rectangular Table Seating:

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

4. Grouping and Arrangement:

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

5. 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.

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Solved Questions on Seating Arrangements 

Q1: Vishu, Pooja, Vishakha, Rani, and Ram are sitting in a line. Pooja is third to the extreme right end. Vishu is second to the left of Pooja. Vishakha is to the right of Pooja. Rani is third to the right of Ram, who is the immediate neighbour of Vishu. Who is sitting in the middle?
(a) Pooja
{b) Ram
(c) Vishakha
(d) Rani
Ans:(a)

Sol: Pooja is third to the extreme right end. Vishu is second to the left of Pooja.

=> Vishu sits at extreme left end.

Vishakha is to the right of Pooja. Rani is third to the right of Ram, who is the immediate neighbour of Vishu.

=> Rani sits at extreme right end, and Ram sits between Vishu and Pooja.

Thus, arrangement:

| Vishu | Ram | Pooja | Vishakha | Rani |

∴ Pooja is sitting in the middle.

Q2:  Five planes, A, B, P, Q, and R were saluting on Independence Day in such a way that R was second to the left of Q but to the immediate right of A. There was one plane between B and P. B was not at any of the ends. P and Q were neighbors. Who was at the left end?
(a) A
(b) B
(c) R
(d) Q
Ans: (a)

Sol: 

R was second to the left of Q but to the immediate right of A, => A R _ Q

There was one plane between B and P, => the last plane must be to the immediate right of Q.

Also, B was not at any of the ends, => B was between R and Q.

Arrangement:
| A | R | B | Q | P |

∴ A was at the left end.

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)

Sol: 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)

Sol: 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)

Sol: 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.