Introduction and assumptions
- Linear
arrangement
- Circular
arrangement
- Seating
arrangement in a photograph
- Complex
arrangement
- Miscellaneous
arrangements
What is a Seating
Arrangement?
The seating arrangement is the logical arrangement of either objects or
people in a logical manner. One has to either perform the arrangement to answer
the questions or decode the predefined arrangement by applying the logical
analysis.
Listed below are the detailed explanation of each topic covered in
Seating arrangement questions:
Topic 1: AssumptionThe right side of the page is the viewer’s left side and vice versa.
Topic 2: Linear
Arrangement
Any logical arrangement of objects or people either horizontally or
vertically or diagonally is known as Linear arrangement.
Ex: The row of the travellers in a train, students in a prayer hall,
etc.
Topic 3: Circular Arrangement
The arrangement of physical quantities in a circular manner is called
a Circular arrangement.
There are two types of circular arrangement:
- Facing
the center: In
this arrangement, every object or a person in the arrangement will be
facing the center of the circle.
Examples of circular seating arrangement questions include Group discussion
and playing cards etc.
- Facing
outwards: In
this arrangement, every object or a person in the arrangement will be
facing outwards.
A perfect example of circular seating arrangement questions would be
playing musical chairs.
Topic 4: Seating arrangement in a photograph
Question 1: How different is the seating
arrangement in actual and in the picture?
Five friends
Deepthi, Bhagya, Ramya, Sushil, and Akash request Sujna, their friend, to take
their photograph. Bhagya, who is an attention seeker, is always in the middle
of Ramya and Deepti. There is no one to the left of Akash. Ramya always stands
next to Sushil. There is no girl between two boys. Who is at the extreme right
end in the photograph?
Solution:
The seating
arrangement in actual would be Deepti- Bhagya-Ramya-Sushil, and Akash. But when
the photograph of the above arrangement is taken a right and left references
are changed. Since the photograph is held in front of us. The viewer’s right
will be the photograph’s left, and the photograph’s right would be the viewer’s
left. Hence, Deepti will be at the extreme right end in the photograph.
Complex arrangements are very similar to linear arrangement problems in
terms of arrangement and properties. But unlike linear arrangement, where the
objects had only one property – their positioning, objects in the complex
arrangement have multiple properties.
There are two methods to solve the problem:
- Table
Formation: The
data is tabulated to match the properties based on the logical conditions
provided in the questions.
- Matric
Tabulation: The
Properties are matched in the form of a matrix with the help of symbols
and special characters to solve the questions.
Among both the methods, the number of rows and columns depends on the
complexity and the number of properties in the questions.
Given below is an example of complex seating arrangement:
Question 2: Amit, Bharati, Cheryl, Deepak, and Eric are five friends sitting in a
restaurant. They are wearing caps of five different colours — yellow, blue,
green, white and red. Also, they are eating five different snacks — burgers,
sandwiches, ice cream, pastries, and pizza.
- The
person wearing a red cap is eating pastries.
- Amit
does not eat ice cream, and Cheryl is eating sandwiches.
- Bharati
is wearing a yellow cap and Amit wearing a blue cap.
- Eric
is eating pizza and is not wearing a green cap.
Solution:
There are five people in the scenario and each person is associated with
two properties, viz. Colour of the caps, and the dish they are eating. Hence
the tabulation method is easier to apply.
Amith |
Bharati |
Cheryl |
Deepak |
Eric |
|
Colour |
Blue |
Yellow |
|||
Dish |
Sandwiches |
Pizza |
The properties can be tabulated as shown from the given information.
We know that a person wearing a red cap is eating pastries. There is
only one place possible in the table to fit this combination. That will be
Deepak.
Amith |
Bharati |
Cheryl |
Deepak |
Eric |
|
Colour |
Blue |
Yellow |
Red |
||
Dish |
Sandwiches |
Pastries |
Pizza |
We also know that Eric is not wearing a green cap. Hence, the one who is
wearing a green cap should be Cheryl. Since Amith does not eat Ice Cream, it
should be Bharati who is eating it. That leaves us with the fact that Amith
should be eating burgers as that’s the only dish left. And hence, Eric should
be wearing a white cap.
Amith |
Bharati |
Cheryl |
Deepak |
Eric |
|
Colour |
Blue |
Yellow |
Green |
Red |
White |
Dish |
Burger |
Ice cream |
Sandwiches |
Pastries |
Pizza |
Question 3: The king Akbar’s court – Navratnas Nauratan (Sanskrit dvigu
Nava-Ratna- or “nine gems”) was a term applied to a group of nine extraordinary
people in an emperor’s court in Emperor Akbar’s “Darbar” The Mughal ruler
Akbar, despite his illiteracy, was a great lover of the artists and
intellectuals. His passion for knowledge and interest in learning from great
minds attracted him to men of genius to his court, known as the nine courtiers
of Emperor Akbar or Navratnas (Nine Jewels):
- Birbal
- Faizi
- Todar
Mal
- Man Singh
I
- Abdul
Rahim Khan-I-Khana
- Fakir
Aziao-Din
- Tansen
- Mulla
Do-Piyaza
- Abu’l-Fazl
ibn Mubarak
Arrange them in an order of their seating pattern based on the following
instructions:
The Nine gems and Akbar always made a circular arrangement when they sat
in a court.
- Akbar
always sat opposite to his favourite advisor.
- A
singer always sat opposite to a poet, there were two poets in his court
among them one was a tutor.
- Mulla
Do-Piyaza never sat next to Birbal as he was his rival.
- Abdul
Rahim Khan-I-Khana is neither general nor finance minister.
- Maan
Singh sat in between a poet and a finance minister.
- Tansen
was at third to the right of Birbal
- An
adviser was in great jealous of another advisor Birbal hence he made
Birbal his rival.
- Faizi
is a poet who was third to the left of the finance minister.
- Fakir
Aziao-Din a chef minister sat in between a singer and an author Abu’l-Fazl
ibn Mubarak.
Solution:
Question 4: Meenakshi and Anupama two best friends wanted to arrange books in
their small library. They arranged these books as a pile one over the other.
There are 3 computer science books, 3 reasoning books, 2 math books, 2
interview books, and 2 English books. A Computer science book is either at the
top or bottom-most level.
Starting from the top a reasoning book is between a math book and
computer science book (either of the mentioned Math or Computer Science books
may be at the top of reasoning book), an English book is between a maths book
and computer science book. A reasoning book is the third book from the bottom.
An interview book is between a math book that is in sixth place from the top
and a reasoning book. Another interview book is in between two reasoning books.
A computer science book is in between reasoning and English.
Which book is in fourth place from the bottom?
A.Computer Science
B.English
C.Reasoning
D.Interview
Solution:
There are 3 computer science books, 3 reasoning books, 2 maths books, 2
interview books, and 2 English books. Hence the total number of books is
twelve.
The arrangement of these books as shown below:
Position of the book |
Category of the book |
1 |
Computer science |
2 |
Reasoning |
3 |
Math |
4 |
English |
5 |
Computer science |
6 |
Math |
7 |
Interview |
8 |
Reasoning |
9 |
Interview |
10 |
Reasoning |
11 |
Computer science |
12 |
English |
Hence the fourth book from the bottom will be Interview. Option D is the
correct answer.
Question 5: Eight female members of the family decide to have a family photo and
are sitting on a bench to be photographed. Read the following instructions to
perform the seating arrangement to answers the questions.
- Mrs.
Divya is to the right of Mrs. Anne.
- Akshata
is the middle of Myra and Mrs. Banumathi.
- Mrs.
Veena is standing at one of the ends and is second to the right of Mrs.
Divya.
- Myra
always wants to stand next to her mother Mrs. Anne and is third to the
left of Mrs. Sandhya.
- Who
is standing at the left extreme end in the photograph?
- Mrs.
Veena
- Mrs.
Usha
- Mrs.
Banumathi
- Akshata
2. Who is third from the left in the photograph?
A.Mrs. Divya
B.Akshata
C.Mrs. Veena
D.Mrs. Sandya
Solution:
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
Veena |
Sandhya |
Divya |
Anne |
Myra |
Akshata |
Banu |
Usha |
The seating arrangement of the scenario is as shown:
Answer 1: From the seating arrangement, it can be seen that Mrs. Usha is
at one of the ends. Hence, the correct answer is option B.
Answer 2: The seating arrangement in the photograph changes its
directions of right and left. Since the question is about the seating
arrangement in the photograph; third to the left from the photograph will be
Akshata.
Hence, the correct answer is option B.
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