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All questions of Seating Arrangement for UPSC CSE Exam

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PASSAGE -1
Five girls are sitting on a bench to be photographed. Seema is to the left of Rani and to the right of Bindu. Mary is to the right of Rani. Reeta is between Rani and Mary. 
Q. Who is sitting immediate right to Reeta?
  • a)
    Bindu
  • b)
    Rani
  • c)
    Mary
  • d)
    Seema
Correct answer is option 'C'. Can you explain this answer?

Arya Roy answered
According to the given information, Seema is to the left of Rani and to the right of Bindu. This means that the order from left to right is: Bindu, Seema, Rani.
Mary is to the right of Rani. Therefore, the order from left to right is now: Bindu, Seema, Rani, Mary.
Reeta is between Rani and Mary. This means that Reeta is sitting between Rani and Mary. Therefore, the order from left to right is: Bindu, Seema, Rani, Reeta, Mary.
So, Mary is sitting immediate right to Reeta.

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?
  • a)
    K, A, N and Z 
  • b)
    N, Q, K and Z
  • c)
    A, P, L and R 
  • d)
    B, L, M and Q
Correct answer is option 'A'. Can you explain this answer?

Pankaj Chakraborty answered
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.

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?
  • a)
    R
  • b)
    S 
  • c)
    Q 
  • d)
    T
Correct answer is option 'D'. Can you explain this answer?

Prateek Datta answered
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)

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?
  • a)
    P, Q, R, S, T
  • b)
    P, S, R, T, Q
  • c)
    P, Q, S, R, T
  • d)
    P, T, R, S, Q
  • e)
    None of the above
Correct answer is option 'A'. Can you explain this answer?

Tanishq Shah answered
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).

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?
  • a)
    U sits to the immediate right of S.
  • b)
    U sits to the immediate left of T.
  • c)
    U sits to the immediate left of P.
  • d)
    Either (A) or (B) above.
  • e)
    Q sits to the immediate right of U.
Correct answer is option 'C'. Can you explain this answer?

Varun Dasgupta answered
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)

Can you explain the answer of this question below:
PASSAGE -1
Five girls are sitting on a bench to be photographed. Seema is to the left of Rani and to the right of Bindu. Mary is to the right of Rani. Reeta is between Rani and Mary.

Who is in the middle of the photograph ?

  • A:Bindu
  • B:Rani
  • C:Reeta
  • D:Seema

The answer is B.

Alok Verma answered
The number of Girls are 5. They are seema, rani, reeta, mary and bindu
Seema is to the left of rani. So arrangement is:
⇒ Seema, ..., Rani
Seema is to the to the right of bindu. So,arrangement is:
⇒ Bindhu , .. , Seema
Mary is to the right of rani. So arrangement is:
⇒ Rani, ..., Mary
Reeta is between rani and mary. So arrangement is:
⇒ Rani Reeta Mary
So, the arrangement in photograph from left to right side  is:-
Bindu , Seema , Rani , reeta and Mary

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 green shirt?
  • a)
    A
  • b)
    K
  • c)
    R 
  • d)
    P
Correct answer is option 'B'. Can you explain this answer?

Tanishq Sengupta answered
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.

Eight persons P, Q, R, S, T, U, V and W are sitting around a circular table facing the center (not necessarily in the same order). Two persons sit between Q and W. V sits immediate left of W. Three persons sit between S and T. R sits immediate left of T. U is not the neighbor of P. One person sits between P and Q.
Which of the following statement is correct?
  • a)
     Q sits to the immediate right of U.
  • b)
    One person sits between P and R.
  • c)
     Three persons sit between Q and R.
  • d)
    One person sits between S and U.
Correct answer is option 'D'. Can you explain this answer?

Geeta jain answered
Analysis:
- 2 persons sit between Q and W.
- V sits immediate left of W.
- 3 persons sit between S and T.
- R sits immediate left of T.
- U is not the neighbor of P.
- 1 person sits between P and Q.

Correct Statement:
- One person sits between S and U.

Explanation:
- From the given information, we can determine the seating arrangement as follows:
- Q and W are two seats apart. V is to the immediate left of W, so V must be sitting to the immediate left of Q.
- Since R sits to the immediate left of T, R must be sitting to the immediate left of V, and T must be sitting to the immediate right of R.
- Since U is not the neighbor of P and there is one person between P and Q, U cannot be sitting next to P or Q. Therefore, U must be sitting elsewhere in the arrangement.
- Based on the above deductions, the only correct statement is that one person sits between S and U.

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?
  • a)
    R 
  • b)
    P
  • c)
    T 
  • d)
    Both (R) and (P)
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Harsh Choudhary answered
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)

Five friends, Bhumika, Rashi, Shweta, Vibha and Arunima, are sitting in a row facing east. Bhumika is sitting between Vibha and Shweta. Rashi is second to the left of Shweta. Who is sitting at the south end?
  • a)
    Arunima
  • b)
    Rashi
  • c)
    Shweta
  • d)
    Vibha
Correct answer is option 'D'. Can you explain this answer?

Kiran Reddy answered
The logic followed here is :-
Five friends, Bhumika, Rashi, Shweta, Vibha and Arunima, are sitting in a row facing east.
Bhumika is sitting between Vibha and Shweta and Rashi is second to the left of Shweta is as shown below :
∴ Here, 'Vibha' is sitting in south end.
Hence, the correct answer is "Vibha".

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)?
  • a)
    T and Q 
  • b)
    S and Q 
  • c)
    T and R
  • d)
    R and Q 
  • e)
    S and T
Correct answer is option 'E'. Can you explain this answer?

Deepika Banerjee answered
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.

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"?
  • a)
    VI
  • b)
    I 
  • c)
    III 
  • d)
    V
Correct answer is option 'B'. Can you explain this answer?

Shivam Menon answered
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.

Directions to Solve
In a class there are seven students (including boys and girls) A, B, C, D, E, F and G. They sit on three benches I, II and III. Such that at least two students on each bench and at least one girl on each bench. C who is a girl student, does not sit with A, E and D. F the boy student sits with only B. A sits on the bench I with his best friends. G sits on the bench III. E is the brother of C.
Question -
On which bench there are three students ?
  • a)
    Bench I
  • b)
    Bench II
  • c)
    Bench III
  • d)
    Bench I or II
Correct answer is option 'A'. Can you explain this answer?

Tarun Unni answered
Given Information:
- There are seven students: A, B, C, D, E, F, and G.
- They sit on three benches: I, II, and III.
- Each bench must have at least two students.
- Each bench must have at least one girl.
- C does not sit with A, E, and D.
- F sits with B.
- A sits on bench I with his best friends.
- G sits on bench III.
- E is the brother of C.

To Find:
On which bench there are three students?

Assumptions:
Since we need to find the bench with three students, we can assume that only one bench will have three students and the other two benches will have two students each.

Analysis:
1. A sits on bench I with his best friends.
2. F sits with B.
3. C does not sit with A, E, and D.
4. G sits on bench III.
5. E is the brother of C.

Solution:
Let's analyze the given information and apply the assumptions to find the bench with three students:

Bench I:
- A sits on bench I with his best friends.
We know that A sits on bench I. Since A sits with his best friends, there must be at least two students on bench I. So, bench I cannot have three students as per our assumption.

Bench II:
- F sits with B.
We know that F sits with B. So, bench II must have at least two students. Since bench I cannot have three students, bench II must have three students.

Bench III:
- G sits on bench III.
We know that G sits on bench III. Since bench II already has three students, bench III cannot have three students.

Therefore, the correct answer is option 'a) Bench I'.

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?
  • a)
    R 
  • b)
    K
  • c)
    N
  • d)
    L
Correct answer is option 'C'. Can you explain this answer?

Naveen Unni answered
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.

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