Logical Reasoning Notes

# Square Seating Arrangement Puzzles – Logical Reasoning

## Logical Reasoning

Concept

The puzzles on square seating arrangement are easy to solve. The question has a square/rectangular arrangement where people are seating at the corners or at the middle of the sides.

They can be facing inwards towards the centre or outwards away from the centre.

The difficulty will increase if more than one variable is present in the arrangement.

Example: 8 students – P, Q, R, S, T, U, V, W are seating around a square table, some facing inward, some outward(1st variable). All like different fruits(2nd variable) – Orange, Apple, Pear, Grape, Banana, Cherry, Strawberry, Pineapple…..and so on details are given in the question.

Solved Examples

Example 1

There are 7 people P, Q, R, S, T, U and V sitting around a square table, four of them were sitting in the middle of the edges and three were sitting at the corners.

Each of them is of different ages among – 2, 3, 5, 8, 9, 10 and 12. Each of them is facing the centre of the table. T, who is sitting at the edge, is sitting second to the right of R, who is 8 years old.

U, who is the oldest person, is sitting three places away from T and is sitting at the corner.

V, who is 1 year elder than S, is sitting opposite S.

P is 2 years elder than Q, and both of them are either sitting at the corner or at the edge. P and V are not immediate neighbours.

Solution:

Hint: T is not sitting at the corner. There will be 4 cases, V is sitting opposite to S – this condition will eliminate 3 cases. P and Q should be sitting at the corner or edges only.

U is the oldest so age is 12 and R’s age is 8 years.

Example 2

Eight people i.e. Dolly, Ranu, Anik, Tina, Sonu, Renu, Boni and Prem are sitting around a square table such that four of them are sitting at the corner of the table and facing outside the table and four of them sitting at the middle side of the table and facing inside the table.

All of them likes different colours i.e. Green, Red, Orange, Violet, Blue, Black, Yellow and Pink but not necessarily in the same order.

Renu sits second to the right of Ranu who likes pink.

Sonu, who likes violet colour, faces Tina who is an immediate neighbour of Renu.

Sonu does not sit at the corner of the table. The person who likes blue sits second to the right of Renu. Boni sits opposite Renu and likes Orange.

Two people sit between Anik and Dolly who does not like the Blue colour. The person who likes the Green colour faces the person who likes the Black colour. The people who like Green and Yellow colour are an immediate neighbour of Renu.

The person who likes the Black colour sits exactly between the person who likes the Orange colour and the person who likes the Pink colour.

Solution:

Hint: Sonu is not sitting at any corner, this condition will help to build different cases. The information related to Renu, Ranu and Tina should be considered.

Example 3

There are eight friends P, Q, R, S, T, U, V and W seating around a square table but not necessarily in the same order.

They are seating in a way that person who seated at the corner facing outside the centre and person who seated at the middle of the side facing inside from the centre. S sits third to the right of R. Only two persons sit between W and Q. V and W are immediate neighbours of S.

P sits third right of V. T does not face outside the centre. U is not the immediate neighbour of R.

W does not sit opposite R.

Solution:

There will be two cases, Case 1 – R is facing the centre, Case 2 – R is facing away from the centre.

V and W are immediate neighbours of S and Q don’t sit opposite to R – these 2 conditions will further ease the puzzle.

Square Arrangement Solved Examples PDF

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