CAT Exam  >  CAT Questions  >   Each of the 10 persons namely A, Q, R, Z, M,... Start Learning for Free
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)
  • b)
    VI
  • c)
    III 
  • d)
    V
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Each of the 10 persons namely A, Q, R, Z, M, N, P, B, K and L are wea...
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.
View all questions of this test
Most Upvoted Answer
Each of the 10 persons namely A, Q, R, Z, M, N, P, B, K and L are wea...
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.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

Top Courses for CAT

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 onconsecutively 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) I b) VIc) III d) VCorrect answer is option 'A'. Can you explain this answer?
Question Description
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 onconsecutively 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) I b) VIc) III d) VCorrect answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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 onconsecutively 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) I b) VIc) III d) VCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 onconsecutively 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) I b) VIc) III d) VCorrect answer is option 'A'. Can you explain this answer?.
Solutions for 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 onconsecutively 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) I b) VIc) III d) VCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of 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 onconsecutively 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) I b) VIc) III d) VCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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 onconsecutively 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) I b) VIc) III d) VCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for 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 onconsecutively 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) I b) VIc) III d) VCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of 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 onconsecutively 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) I b) VIc) III d) VCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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 onconsecutively 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) I b) VIc) III d) VCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev