CAT  >  CAT New  >  Test: Seating Arrangement Download as PDF

Test: Seating Arrangement


Test Description

9 Questions MCQ Test CAT New | Test: Seating Arrangement

Test: Seating Arrangement for CAT 2022 is part of CAT New preparation. The Test: Seating Arrangement questions and answers have been prepared according to the CAT exam syllabus.The Test: Seating Arrangement MCQs are made for CAT 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Seating Arrangement below.
Solutions of Test: Seating Arrangement questions in English are available as part of our CAT New for CAT & Test: Seating Arrangement solutions in Hindi for CAT New course. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free. Attempt Test: Seating Arrangement | 9 questions in 10 minutes | Mock test for CAT preparation | Free important questions MCQ to study CAT New for CAT Exam | Download free PDF with solutions
1 Crore+ students have signed up on EduRev. Have you?
Test: Seating Arrangement - Question 1

Each of the 10 persons namely A, Q, R, Z, M, N, P, B, K and L are wearing a shirt. The colour of each shirt is one out of blue, green and red. There are ten chairs placed in a row. The chairs are consecutively numbered 1, 2, 3, 4...9 and 10 from left to right in that order. These ten persons have to sit on the chairs such that there is only one person in each chair. The number of persons wearing a green and a blue shirt is 2 and 3 respectively.

Additional Information:

1. No two persons wearing blue shirts sit on consecutively numbered chairs.

2. Among the persons wearing red shirts, exactly three persons always are sitting together while the remaining two never.

3. A person wearing a blue shirt and a person wearing a green shirt never is sitting on

consecutively numbered chairs.

4. A person wearing a green shirt cannot sit on chairs numbered 2 or 9.

5. Persons wearing red shirts are not sitting at extreme ends.

The following table provides information about the six different seating arrangements namely I, II, III, IV, V and VI of the ten persons done by Mr. Crazy. He observed that out of all the seating arrangements done by him, there is one arrangement that is not consistent with the information stated under "Additional Information".

Q. Which of the arrangements done by Mr. Crazy is not consistent with the information stated under "Additional Information"?

Detailed Solution for Test: Seating Arrangement - Question 1

Let the people who wear a blue, red and green shirt be denoted by b, r and g respectively. Restrictions on the seating arrangement:

1. Two b’s must not be together.

2. Three r’s must be together.

3. A ‘b’ and a ‘g’ must not be together.

4. A ‘g’ cannot sit on a chair numbered 2 or 9.

Case I: 

A person wearing a green shirt is sitting on chair numbered 1. It is only possible if another person wearing a green shirt sits on chair numbered 2, but this violates restriction number 4.

Hence, this is also not possible.

Case II:

A person wearing a blue shirt sits on chair numbered 1. The six seating arrangements that are possible are as follows.

Now, we see that the cases 4, 5 and 6 are just obtained by reversing the cases 1, 2 and 3 respectively. It can be concluded that in any possible seating arrangement, the chairs numbered 1 and 10 are always occupied by people wearing blue shirts. It is given that the number of people wearing a blue shirt is 3. Looking at the table given in the question, we observe that in each of the six arrangements two out of the three different people i.e. A, B and N always sit on chairs numbered 1 and 10.Hence it can be concluded that the people who wear a blue shirt are A, B and N From the given table the person wearing a blue shirt can never sit on chairs numbered 2, 4, 7 and 9. So, (in arrangement I), A, B and N sitting on chairs numbered 1, 7 and 10 is inconsistent. Also, the people wearing red shirts sit on chairs numbered 2 and 9 and in all the possible arrangements five different people namely P, Q, M, Z and R are sitting on chairs numbered either 2 or 9. Therefore, P, Q, M, Z and R are wearing red shirts and K and

L are wearing green shirts.

(a) I arrangement is not consistent.

Test: Seating Arrangement - Question 2

Each of the 10 persons namely A, Q, R, Z, M, N, P, B, K and L are wearing a shirt. The colour of each shirt is one out of blue, green and red. There are ten chairs placed in a row. The chairs are consecutively numbered 1, 2, 3, 4...9 and 10 from left to right in that order. These ten persons have to sit on the chairs such that there is only one person in each chair. The number of persons wearing a green and a blue shirt is 2 and 3 respectively.

Additional Information:

1. No two persons wearing blue shirts sit on consecutively numbered chairs.

2. Among the persons wearing red shirts, exactly three persons always are sitting together while the remaining two never.

3. A person wearing a blue shirt and a person wearing a green shirt never is sitting on

consecutively numbered chairs.

4. A person wearing a green shirt cannot sit on chairs numbered 2 or 9.

5. Persons wearing red shirts are not sitting at extreme ends.

The following table provides information about the six different seating arrangements namely I, II, III, IV, V and VI of the ten persons done by Mr. Crazy. He observed that out of all the seating arrangements done by him, there is one arrangement that is not consistent with the information stated under "Additional Information".

Q. Which of the following persons is wearing a blue shirt?

Detailed Solution for Test: Seating Arrangement - Question 2

Let the people who wear a blue, red and green shirt be denoted by b, r and g respectively. Restrictions on the seating arrangement:

1. Two b’s must not be together.

2. Three r’s must be together.

3. A ‘b’ and a ‘g’ must not be together.

4. A ‘g’ cannot sit on a chair numbered 2 or 9.

Case I: 

A person wearing a green shirt is sitting on chair numbered 1. It is only possible if another person wearing a green shirt sits on chair numbered 2, but this violates restriction number 4.

Hence, this is also not possible.

Case II:

A person wearing a blue shirt sits on chair numbered 1. The six seating arrangements that are possible are as follows.

Now, we see that the cases 4, 5 and 6 are just obtained by reversing the cases 1, 2 and 3 respectively. It can be concluded that in any possible seating arrangement, the chairs numbered 1 and 10 are always occupied by people wearing blue shirts. It is given that the number of people wearing a blue shirt is 3. Looking at the table given in the question, we observe that in each of the six arrangements two out of the three different people i.e. A, B and N always sit on chairs numbered 1 and 10.Hence it can be concluded that the people who wear a blue shirt are A, B and N From the given table the person wearing a blue shirt can never sit on chairs numbered 2, 4, 7 and 9. So, (in arrangement I), A, B and N sitting on chairs numbered 1, 7 and 10 is inconsistent. Also, the people wearing red shirts sit on chairs numbered 2 and 9 and in all the possible arrangements five different people namely P, Q, M, Z and R are sitting on chairs numbered either 2 or 9. Therefore, P, Q, M, Z and R are wearing red shirts and K and

L are wearing green shirts.

A, B and N are wearing blue shirts. Hence, N is the answer.

Test: Seating Arrangement - Question 3

Each of the 10 persons namely A, Q, R, Z, M, N, P, B, K and L are wearing a shirt. The colour of each shirt is one out of blue, green and red. There are ten chairs placed in a row. The chairs are consecutively numbered 1, 2, 3, 4...9 and 10 from left to right in that order. These ten persons have to sit on the chairs such that there is only one person in each chair. The number of persons wearing a green and a blue shirt is 2 and 3 respectively.

Additional Information:

1. No two persons wearing blue shirts sit on consecutively numbered chairs.

2. Among the persons wearing red shirts, exactly three persons always are sitting together while the remaining two never.

3. A person wearing a blue shirt and a person wearing a green shirt never is sitting on

consecutively numbered chairs.

4. A person wearing a green shirt cannot sit on chairs numbered 2 or 9.

5. Persons wearing red shirts are not sitting at extreme ends.

The following table provides information about the six different seating arrangements namely I, II, III, IV, V and VI of the ten persons done by Mr. Crazy. He observed that out of all the seating arrangements done by him, there is one arrangement that is not consistent with the information stated under "Additional Information".

Which of the following persons is wearing a green shirt?

Detailed Solution for Test: Seating Arrangement - Question 3

Let the people who wear a blue, red and green shirt be denoted by b, r and g respectively. Restrictions on the seating arrangement:

1. Two b’s must not be together.

2. Three r’s must be together.

3. A ‘b’ and a ‘g’ must not be together.

4. A ‘g’ cannot sit on a chair numbered 2 or 9.

Case I: 

A person wearing a green shirt is sitting on chair numbered 1. It is only possible if another person wearing a green shirt sits on chair numbered 2, but this violates restriction number 4.

Hence, this is also not possible.

Case II:

A person wearing a blue shirt sits on chair numbered 1. The six seating arrangements that are possible are as follows.

Now, we see that the cases 4, 5 and 6 are just obtained by reversing the cases 1, 2 and 3 respectively. It can be concluded that in any possible seating arrangement, the chairs numbered 1 and 10 are always occupied by people wearing blue shirts. It is given that the number of people wearing a blue shirt is 3. Looking at the table given in the question, we observe that in each of the six arrangements two out of the three different people i.e. A, B and N always sit on chairs numbered 1 and 10.Hence it can be concluded that the people who wear a blue shirt are A, B and N From the given table the person wearing a blue shirt can never sit on chairs numbered 2, 4, 7 and 9. So, (in arrangement I), A, B and N sitting on chairs numbered 1, 7 and 10 is inconsistent. Also, the people wearing red shirts sit on chairs numbered 2 and 9 and in all the possible arrangements five different people namely P, Q, M, Z and R are sitting on chairs numbered either 2 or 9. Therefore, P, Q, M, Z and R are wearing red shirts and K and

L are wearing green shirts.

K and L are wearing green shirts. Hence, K is the answer.

Test: Seating Arrangement - Question 4

Each of the 10 persons namely A, Q, R, Z, M, N, P, B, K and L are wearing a shirt. The colour of each shirt is one out of blue, green and red. There are ten chairs placed in a row. The chairs are consecutively numbered 1, 2, 3, 4...9 and 10 from left to right in that order. These ten persons have to sit on the chairs such that there is only one person in each chair. The number of persons wearing a green and a blue shirt is 2 and 3 respectively.

Additional Information:

1. No two persons wearing blue shirts sit on consecutively numbered chairs.

2. Among the persons wearing red shirts, exactly three persons always are sitting together while the remaining two never.

3. A person wearing a blue shirt and a person wearing a green shirt never is sitting on

consecutively numbered chairs.

4. A person wearing a green shirt cannot sit on chairs numbered 2 or 9.

5. Persons wearing red shirts are not sitting at extreme ends.

The following table provides information about the six different seating arrangements namely I, II, III, IV, V and VI of the ten persons done by Mr. Crazy. He observed that out of all the seating arrangements done by him, there is one arrangement that is not consistent with the information stated under "Additional Information".

Q. Which of the following is not a permissible group of four persons such that the number of persons wearing a red, a green and a blue shirt is 2, 1 and 1 respectively?

Detailed Solution for Test: Seating Arrangement - Question 4 Let the people who wear a blue, red and green shirt be denoted by b, r and g respectively. Restrictions on the seating arrangement:

1. Two b’s must not be together.

2. Three r’s must be together.

3. A ‘b’ and a ‘g’ must not be together.

4. A ‘g’ cannot sit on a chair numbered 2 or 9.

Case I: 

A person wearing a green shirt is sitting on chair numbered 1. It is only possible if another person wearing a green shirt sits on chair numbered 2, but this violates restriction number 4.

Hence, this is also not possible.

Case II:

A person wearing a blue shirt sits on chair numbered 1. The six seating arrangements that are possible are as follows.

Now, we see that the cases 4, 5 and 6 are just obtained by reversing the cases 1, 2 and 3 respectively. It can be concluded that in any possible seating arrangement, the chairs numbered 1 and 10 are always occupied by people wearing blue shirts. It is given that the number of people wearing a blue shirt is 3. Looking at the table given in the question, we observe that in each of the six arrangements two out of the three different people i.e. A, B and N always sit on chairs numbered 1 and 10.Hence it can be concluded that the people who wear a blue shirt are A, B and N From the given table the person wearing a blue shirt can never sit on chairs numbered 2, 4, 7 and 9. So, (in arrangement I), A, B and N sitting on chairs numbered 1, 7 and 10 is inconsistent. Also, the people wearing red shirts sit on chairs numbered 2 and 9 and in all the possible arrangements five different people namely P, Q, M, Z and R are sitting on chairs numbered either 2 or 9. Therefore, P, Q, M, Z and R are wearing red shirts and K and

L are wearing green shirts.

Option (1): A (Blue), P (Red), R (Red) and L (Green):

Permissible

Option (2): N (Blue), Q (Red), K (Green) and Z (Red):

Permissible

Option (3): K (Green), A (Blue), N (Blue) and Z (Red):

Not Permissible

Option (4): B (Blue), L (Green), M (Red) and Q (Red):

Permissible.

Test: Seating Arrangement - Question 5

These questions are based on the following information. P, Q, R, S and T sit around a table. P sits two seats to the left of R and Q sits two seats to the right of R.

Q. If S sits in between Q and R, who sits to the immediate right of P?

Detailed Solution for Test: Seating Arrangement - Question 5

P sits two seats to the left of R, and Q sits two seats to the right of R. We can represent this information in the diagram below.

If S sits between Q and R, then the arrangement is as follows.

As can be seen from the diagram, T is to the immediate right of P. Choice (a)

Test: Seating Arrangement - Question 6

These questions are based on the following information. P, Q, R, S and T sit around a table. P sits two seats to the left of R and Q sits two seats to the right of R.

Q. Which of the following cannot be the correct seating arrangement of the five persons in either the clockwise direction or the anti-clockwise direction?

Detailed Solution for Test: Seating Arrangement - Question 6

P sits two seats to the left of R, and Q sits two seats to the right of R. We can represent this information in the diagram below.

We will take each choice and see whether it fits in the arrangement that we represented through a diagram in the analysis of the data (the same diagram is reproduced below).

We can see that the arrangement given in choice (a) is not possible and hence the answer choice is (a).

Test: Seating Arrangement - Question 7

These questions are based on the following information. P, Q, R, S and T sit around a table. P sits two seats to the left of R and Q sits two seats to the right of R.

Q. If S is not sitting next to Q, who is sitting between Q and S?

Detailed Solution for Test: Seating Arrangement - Question 7

P sits two seats to the left of R, and Q sits two seats to the right of R. We can represent this information in the diagram below.

If S is not next to Q, then the seating arrangement is fixed as follows.

Now P is between Q and S. Choice (b)

Test: Seating Arrangement - Question 8

These questions are based on the following information. P, Q, R, S and T sit around a table. P sits two seats to the left of R and Q sits two seats to the right of R.

Q. If a new person U joins the group such that the initial conditions for the seating arrangement should be observed and also a new condition that U does not sit next to R be satisfied, then which of the following statements is true?

Detailed Solution for Test: Seating Arrangement - Question 8

P sits two seats to the left of R, and Q sits two seats to the right of R. We can represent this information in the diagram below.

On the basis of the diagram that we drew, we find that to accommodate U we have to create a new slot between P and Q.

Hence, choice (c) is the correct answer. Choice (c)

Test: Seating Arrangement - Question 9

These questions are based on the following information. P, Q, R, S and T sit around a table. P sits two seats to the left of R and Q sits two seats to the right of R.

Q. If a new person U joins the group such that the initial conditions for the seating arrangement should be observed and also a new condition that U does not sit next to P, S or T be satisfied, then who will be the neighbours of P (one on either side)?

Detailed Solution for Test: Seating Arrangement - Question 9

P sits two seats to the left of R, and Q sits two seats to the right of R. We can represent this information in the diagram below.

We create a new slot for the sixth person. But since U will not sit next to P, S or T, he will have to sit between R and Q. The arrangement will then look as follows:

As we can see from the diagram, the neighbours of P will be T and S.

13 videos|133 docs|26 tests
Use Code STAYHOME200 and get INR 200 additional OFF
Use Coupon Code
Information about Test: Seating Arrangement Page
In this test you can find the Exam questions for Test: Seating Arrangement solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Seating Arrangement, EduRev gives you an ample number of Online tests for practice