HOW TO SOLVE QUESTIONS ON SEATING AND CIRCULAR ARRANGEMENT FOR CAT EXAM

Thu Sep 17, 2020

How to Solve Questions on Seating and Circular Arrangement for CAT Exam

Arrangement Problems in Logical Reasoning Section of CAT can be generally equivocal of the apparent multitude of problems. This point incorporates wide range of subtopics with different variety and combination of them. One such point in arrangements is Seating (or guest plans, which is one of the most significant and steady in CAT. I know Seating Arrangement questions can be befuddling, Time-devouring and now and again conceptualizing inquiries in Logical Reasoning segment. However, remember that around 3-4 inquiries depend on this subject in CAT, so noting them effectively can support your percentile and a little mix-up can cost you altogether, on account of negative checking for that. Thusly, the inquiry emerges what are the accepted procedures or technique to comprehend these inquiries accurately in productive in an efficient way?

So, let’s begin and evolve a simple and straight forward way to cater to these types of arrangement problems!!!

Firstly, we can identify that these problems can be categorized into two types

1. Linear Seating Arrangement Problems

2. Circular Seating Arrangement Problems

Presently we can devise an individual way to deal with every one of the above kind. We should initially begin with Linear Seating Arrangement problems.

As the name recommends linear seating arrangement problems are those where arrangements are made in columns or lines. The arrangement can be in a solitary line or there can be different lines yet for the most part at our level two columns questions are inquired.

One line Problems are those when arrangement is made in a solitary line. These problems can be separated into two sorts of conditions.

1. In which direction of the face isn't given; in these we expect direction as indicated by our own reference.

2. In which direction of the face is given like confronting north, south or towards east, west; in these we should plan to remember these directions.

Furthermore, in two line arrangement objects are masterminded in two distinct columns confronting one another. Presently we can proceed onward to tackle a case of linear arrangement so we have a superior comprehension of these sorts of inquiries. Yet, before pushing ahead considering model remember these significant focuses.

1. Continuously note the conditions given in short shape and speak to them pictorially.

2. In the event that An is sitting to the quick left of B, at that point it likewise implies that B is on prompt right of A.

3. If not indicated, accept that all individuals are looking towards the middle or North (until and except if the direction is determined).

4. On the off chance that you can't get any helpful data from a sentence, at that point better skirt that line and proceed onward to next line. At that point reconsider the skipped sentence subsequent to experiencing different sentences.

5. The Meaning of and, who& neighboring in seating arrangement questions:

In the event that "and" is given in a sentence for ex: A sits third to right of P and sits fourth to right of T. It indicates sits third right of P, A sits fourth right of T for example the given data is discussing the main individual.

Adjoining – implies – close to one another not inverse to one another. For ex: An and B is contiguous one another, which implies they are prompt neighbor of one another.

On the off chance that "who" is given in a sentence, for ex: A sits third to right of P who sits fourth to right of T. It signifies A sits right of P, P sits fourth right of T, the given data is discussing the subsequent individual.

Consider this model and we should step savvy unravel it.

Twelve people are sitting in two equal columns containing six people each, so that there is an equivalent separation between contiguous people. In line 1 A, B, C, D, E and F are situated (But not really in a similar request) and every one of them are confronting south. In line 2 P, Q, R, S, T, and V are situated (not really in a similar request) and every one of them are confronting north. Subsequently, in the given seating arrangement every individual situated in line faces someone else of the other line.

Sits third to one side of E. The individual Facing A sits second to one side of T. two people are sitting among T and P. C and D are quick neighbors. C and D don't sit at any of the extraordinary stopping points. Just a single individual sits among B and C. the individual confronting D is an Immediate neighbor of Q. V isn't a quick neighbor of P. S doesn't confront A.

(Seating and Circular Arrangement) Problem Solution:

In 1stparagraph gives information regarding how many persons and in which direction they face.
In 2ndparagraph provides positioning of persons.

(Seating and Circular Arrangement) Step to solve the question

(Seating and Circular Arrangement) STEP 1:

12 persons are sitting in parallel rows, and each row contains 6 persons.

In Row 1 –A,B,C,D,E and F are seated and facing towards south and in

Row 2 –P,Q,R,S,T and V are seated and facing towards north.

From the above information let’s make a parallel row.

(Seating and Circular Arrangement) STEP 2:

A sits third to the left of E. A sit in Row 1 and faces south

Let’s place at the right end of the Row 1 i.e. in position 6. To left of it place A at the third i.e. in position 3.

questions on seating and circular arrangement

(Seating and Circular Arrangement) STEP 3:

Two persons are sitting between T and P, which mean to the third left of T, P is placed i.e. position 3 in Row 2.

questions on seating and circular arrangement

(Seating and Circular Arrangement) STEP 4:

C and D are immediate neighbors. C and D do not sit at any of the extreme ends of the line.

C and D can be placed between A and E. They cannot be placed at left extreme end. But position of C and D can be decided by next statement. i.e. Only one person sits between B and C.

From the above statement D is placed immediate right of E and C is placed immediate left of A and B is placed in immediate left of A.

questions on seating and circular arrangement

Hereafter now we are in a position where we can undoubtedly respond to all the inquiries posed in test dependent on the above issue .

The above model was an issue of two different ways linear seating arrangement with directions where with the utilization of diagrammatic methodology we made it less complex and uncomplicated which would have been generally an undeniable monotonous undertaking to tackle. This is only one model, there can be various others with various blends and arrangements however now we have figured out how to handle them and make them bother free.

Presently we can proceed onward to our second sort of issue for example Circular seating arrangement. Circular Seating arrangement is that kind of seating arrangement where individuals are sitting or remaining in circular, square or polygonal way. There can be three sorts of particular types of inquiries under this:

Circular arrangement where individuals face focus of the table

Circular arrangement in which individuals face outward of the table.

Circular arrangement with certain individuals confronting focus of the table while a few people confronting outward of the table.

There can be two cases depending upon the facing of people
(Seating and Circular Arrangement) Case1:

When people are facing inwards or center of table then

All their “rights” refer to anticlockwise direction.
All their “left” refer to clockwise direction.

(Seating and Circular Arrangement) Case2:

When people are facing outward of the table

All their “left” refer to anti clockwise direction.
All their “right” refer to clockwise direction.

Consider an example now, Representatives from eight different states viz. L, N, P, R, T, V, X and Z are sitting around a circular table facing the center but not necessarily in the same order. Each of them is from a different state namely, Maharashtra, Assam, Gujarat, Kerala, Karnataka, Delhi, Madhya Pradesh and Punjab.

V sits second to right of the representative from Kerala. Representative from Madhya Pradesh is to the immediate right of the representative from Kerala. N is third to right of the representative from Madhya Pradesh. T is to the immediate left of P. Neither P nor T is an immediate neighbor of either N or the representative from Gujarat who sits second to right of R. R is neither the representative of Kerala nor Madhya Pradesh. X and the representative from Maharashtra are immediate neighbors of each other. N is not the representative of Maharashtra. Only one person sits between P and representative from Assam. Z sits third to left of the representative from Punjab. Representative from Delhi sits second to left of the representative of Karnataka. L is not the representative of Assam.

Now before moving forth to solution understand these basic steps that will help us solve this problem.

1) Read the question carefully and note down the name or the characters that have to be arranged carefully.

2) Check and write down whether all the character is facing towards the center or outwards or haphazardly some facing towards while others outward.

3) Now we will use diagrammatic representation to solve the question. Draw a circle with equidistant points and with the help of arrows signify the direction in which the characters are facing.

4) After this start reading the information and allot the places to the characters according to the information given in question

5) Make cases for more multiple possibilities and then rule out those cases that doesn’t fit the given information in the question

6) Similarly go on deducing the cases and reach out to one possible case which is the solution and eliminate all others.
Now we will use above steps and formulate the solution above problemIn the above example we are given 8 alphabets each corresponding to 8 states .
Representatives: L, N, P, R, T, V, X and Z
States: Maharashtra, Assam, Gujarat, Kerala, Karnataka, Delhi, Madhya Pradesh and Punjab.

We need to map representatives to their states respectively.

Now first we will make a circle with 8 equidistant lines and respectively add direction in which the representatives are facing.

Since, all are facing towards the center everyone’s right is in anticlockwise direction and everyone’s left is in clockwise direction.

questions on seating and circular arrangement

Now we will read the main problems and try to get the direct information. According to the problem:

1) V sits second to the right of the representative from Kerala.

2) Representative from Madhya Pradesh is to the immediate right of the representative from Kerala.

3) N is third to right of the representative from Madhya Pradesh.

Here, we will first place V at bottom most place. We then place the representative from Kerala second to the left of V. This is because V sits second to the right of representative from Kerala. Then we place the representative from Madhya Pradesh and N as given in problem. So, we get the following figure.

questions on seating and circular arrangement

Now no other direct information is given with which we can plot the diagram. So, we move on to next statements.

4) T is to the immediate left of P.

5) Neither P nor T is an immediate neighbor of either N or the representative from Gujarat. So, we get three possible cases.

questions on seating and circular arrangement

6) Representative from Gujarat sits second to right of R.

7) R is neither the representative of Kerala nor Madhya Pradesh.

So the third case gets eliminated as there is no place left for Gujarat.

Thus cases 1 and 2 get amended as shown below:

questions on seating and circular arrangement

8) Only one person sits between P and the representative from Assam.

We know the possible positions of P so we can place representative from Assam accordingly.

Here for each case we get 2 cases so now we have total 4 cases.

questions on seating and circular arrangement

9) Z sits third to left of the representative from Punjab.

10) Representative from Delhi sits second to left of the representative of Karnataka.

Plotting information given in these statements, possibilities 2.a and 2.b get eliminated. We can see this as below:

When we see in case 2.a and 2.b we have 4 places for these two representatives (Delhi & Karnataka).

Now, in case 2.

1.- i) If we place the representative of Delhi as R there is no place for representative of Karnataka.

ii) If we place the representative of Delhi as N, it is possible.

iii) If we place the representative of Delhi to the left of T, there is no place for representative of Karnataka.

iv) If we place the representative of Delhi as T, there is no place for representative of Karnataka.

So placing representative of Delhi as N is possible as shown below.

The diagram looks like this.

questions on seating and circular arrangement

Now we take 9th statement and try to reason out 2.a again.
There are 3 possible places for Z (As representative of Madhya Pradesh, representative of Gujarat or representative of Karnataka)
2.i) Madhya Pradesh is not possible as there is no place for representative of Punjab.
ii) Similarly Gujarat and Karnataka are also not possible.
Thus this case 2.a is eliminated.
On similar bases, case 2.b is also getting eliminated.
Thus case 1 remains.

questions on seating and circular arrangement

11) X and the representative from Maharashtra are immediate neighbors of each other.
12) N is not the representative of Maharashtra.
13) L is not the representative of Assam.
From this statement, we get that only case 1.a is valid all else gets eliminated.Hence, we get the final seating arrangement diagram of the circular arrangement as follows.

questions on seating and circular arrangement

From now on using the above basic advances, we can tackle numerous roundabout problems quickly. Yet, remember that "practice makes a man great", Thus, flawlessness must be accomplished in the event that we practice questions. Along these lines, continue solving a few kinds of questions the greatest number possible.

Team Headache

HOW TO SOLVE QUESTIONS ON SEATING AND CIRCULAR ARRANGEMENT FOR CAT EXAM

How to Solve Questions on Seating and Circular Arrangement for CAT Exam

1. Linear Seating Arrangement Problems

2. Circular Seating Arrangement Problems

(Seating and Circular Arrangement) Problem Solution:

(Seating and Circular Arrangement) Step to solve the question

Sign Up Complete your profile

Log In

You may also be interested in