Arrangements

Formulas for Arrangement

Arrangement Tips and Tricks and Shortcuts:-

Arrangement problems can be asked in a variety of forms. So they have been divided into three different categories which are mentioned below namely:

The problems on seating arrangement are regular feature of almost every competitive examination. In these type of problems, you have to arrange a group of persons fulfilling certain conditions. This is also written as sitting arrangement or sitting arrangement reasoning at some places. Here we can classify these problems into 4 types:

  • Linear Arrangement
  • Circular arrangement
  • Rectangular arrangement
Single row arrangement

Under this type, we are asked to arrange a group of people in a single line or a row.

Monika is sitting beside Rachel.
Mike is sitting beside Ross, But Ross is not sitting next to Phoebe, who is seated at the extreme corner which is the left-hand side of the bench.
Mike is sitting in the second position from the right of the bench.
Monika is towards the right-hand side of Rachel and Phoebe.
Monika and Mike are sitting together.
Ques. 1.) In which position is Monika sitting

Options

A. Between Rachel and Ross

B. Between Rachel and Mike

C. Between Phoebe and Ross

D. Between Mike and Phoebe

Solution :

Phoebe Rachel Monika Mike Ross As per the above diagram, Monika is sitting in the middle of the bench, between Mike and Rachel.
Therefore option B is the correct one.
Similarly, we shall be asked to arrange a group of people either in a double row or on the basis of directions.

Correct option: B

Quick Tip for solving the double row or direction based question

While extracting the information and making the arrangement, we shall always focus on the direction towards which the person is facing.

If it is a double row arrangement, then both groups will be facing each other. One group will be facing towards the north, and the other one towards the south, and accordingly the directions will be considered as per the above diagram.

Tips and Tricks and Shortcuts for Arrangements: Circular Arrangement

Here we will be asked to arrange the group of people in a circular form by following the conditions that are mentioned in the question.

H, I, J, K, L, M, N, and O are eight friends sitting on a round table such that H is sitting at the second place towards the right of L who is seated between J and N. K is not the neighbor of H. N is sitting next to M.I is not sitting between K and O and o is not sitting between M and K.
Ques. 1.) Who among the following are the neighbors?

Options

A. H, J

B. I, K

C. M, L

D. K, L

Solution :

As per the above diagram it is clear that H and J are immediate neighbours. Therefore option A is the correct one.

Correct option: A

Arrangements Tips and Tricks: Rectangular/Square/Hexagonal arrangement

The Rectangular/Square/Hexagonal arrangements are almost similar to the circular method, the only difference being, here we have to organize the group into either square/rectangular/hexagonal form by considering and following some specific terms and conditions that are mentioned in the question.

Lu, Sac, Mac, Tag, Yan, Tom, Sam, and Elon are eight friends sitting on a rectangular table facing inwards with two people on each side.

There are three women in the group, and all of them are not sitting together. Tom is sitting between Elon and Sac Mac is sitting between Yan And Sac Tag who is a woman is seated second to the left of Tom. Sac (Man) is sitting opposite to Lu who is a woman. A woman is sitting between Sac and Yan.

Ques. 1) Find the persons who are sitting on the left-hand side of Sac?

Options

A. Lu

B. Mac

C. Tom

D. Sam

Solution :

It is clear from the diagram mentioned above that Tom is sitting on the left of Sac. Therefore option C is the correct one.
Here also we have to always keep in mind the direction in which the people are facing (that is towards the table or away from the table)

Correct option: C