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Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:
1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.
2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.
3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.
Q. Which of the following CANNOT be determined uniquely based on the given information?
- a)The size of the teaching committee
- b)The size of the research committee
- c)The total number of bureaucrats in the three committees
- d)The total number of educationalists in the three committees
Correct answer is option 'A'. Can you explain this answer?
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Twenty four people are part of three committees which are to look at ...
Let us draw a table according to the information given.
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It is given that the numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee. Let '4x' be the number of bureaucrats in the Administration committee.
The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees. Let us assume that 'y' is the number of educationalists in the research committee and 'd' be the difference in the number of educationalists in Research and teaching committees.
60% of the politicians are in the administration committee, and 20% are in the teaching committee. Let '5z' be the total number of politicians.
We can say that
10x+3y+5z = 24
We can see that each of x, y and z has a natural number integer. If x > 1, then both y and z can't take any natural number.
Hence, we can say that x = 1.
At x = 1, 3y+5z = 14. If y = 1 or 2, Z is not an integer.
At x = 1 and y = 3, z = 1 which is the only possible solution.
We can see that 'd' can assume two possible values. d = 1 or 2.
From the table, we can not uniquely determine the size of the teaching committee. Hence, option A is the correct answer.
Most Upvoted Answer
Twenty four people are part of three committees which are to look at ...
Size of the Teaching Committee
It cannot be determined uniquely based on the given information because the size of each committee is not specified. The only information provided is that each committee has a different size, but the exact number of members in the teaching committee is not given.
Size of the Research Committee
The size of the research committee can be determined based on the information provided. Since the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee and is equal to the number of bureaucrats in the teaching committee, we can determine the size of the research committee.
Total Number of Bureaucrats in the Three Committees
The total number of bureaucrats in the three committees can be determined based on the information provided. By using the relationships between the number of bureaucrats in each committee, we can calculate the total number of bureaucrats in all three committees.
Total Number of Educationalists in the Three Committees
The total number of educationalists in the three committees can be determined based on the information provided. By using the relationships between the number of educationalists in each committee, we can calculate the total number of educationalists in all three committees.
It cannot be determined uniquely based on the given information because the size of each committee is not specified. The only information provided is that each committee has a different size, but the exact number of members in the teaching committee is not given.
Size of the Research Committee
The size of the research committee can be determined based on the information provided. Since the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee and is equal to the number of bureaucrats in the teaching committee, we can determine the size of the research committee.
Total Number of Bureaucrats in the Three Committees
The total number of bureaucrats in the three committees can be determined based on the information provided. By using the relationships between the number of bureaucrats in each committee, we can calculate the total number of bureaucrats in all three committees.
Total Number of Educationalists in the Three Committees
The total number of educationalists in the three committees can be determined based on the information provided. By using the relationships between the number of educationalists in each committee, we can calculate the total number of educationalists in all three committees.
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Community Answer
Twenty four people are part of three committees which are to look at ...
Let us draw a table according to the information given.
It is given that the numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee. Let '4x' be the number of bureaucrats in the Administration committee.
The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees. Let us assume that 'y' is the number of educationalists in the research committee and 'd' be the difference in the number of educationalists in Research and teaching committees.
60% of the politicians are in the administration committee, and 20% are in the teaching committee. Let '5z' be the total number of politicians.
We can say that
10x+3y+5z = 24
We can see that each of x, y and z has a natural number integer. If x > 1, then both y and z can't take any natural number.
Hence, we can say that x = 1.
At x = 1, 3y+5z = 14. If y = 1 or 2, Z is not an integer.
At x = 1 and y = 3, z = 1 which is the only possible solution.
We can see that 'd' can assume two possible values. d = 1 or 2.
From the table, we can not uniquely determine the size of the teaching committee. Hence, option A is the correct answer.
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Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.Q. Which of the following CANNOT be determined uniquely based on the given information?a) The size of the teaching committeeb) The size of the research committeec) The total number of bureaucrats in the three committeesd) The total number of educationalists in the three committeesCorrect answer is option 'A'. Can you explain this answer?
Question Description
Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.Q. Which of the following CANNOT be determined uniquely based on the given information?a) The size of the teaching committeeb) The size of the research committeec) The total number of bureaucrats in the three committeesd) The total number of educationalists in the three committeesCorrect 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 Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.Q. Which of the following CANNOT be determined uniquely based on the given information?a) The size of the teaching committeeb) The size of the research committeec) The total number of bureaucrats in the three committeesd) The total number of educationalists in the three committeesCorrect 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 Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.Q. Which of the following CANNOT be determined uniquely based on the given information?a) The size of the teaching committeeb) The size of the research committeec) The total number of bureaucrats in the three committeesd) The total number of educationalists in the three committeesCorrect answer is option 'A'. Can you explain this answer?.
Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.Q. Which of the following CANNOT be determined uniquely based on the given information?a) The size of the teaching committeeb) The size of the research committeec) The total number of bureaucrats in the three committeesd) The total number of educationalists in the three committeesCorrect 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 Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.Q. Which of the following CANNOT be determined uniquely based on the given information?a) The size of the teaching committeeb) The size of the research committeec) The total number of bureaucrats in the three committeesd) The total number of educationalists in the three committeesCorrect 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 Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.Q. Which of the following CANNOT be determined uniquely based on the given information?a) The size of the teaching committeeb) The size of the research committeec) The total number of bureaucrats in the three committeesd) The total number of educationalists in the three committeesCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.Q. Which of the following CANNOT be determined uniquely based on the given information?a) The size of the teaching committeeb) The size of the research committeec) The total number of bureaucrats in the three committeesd) The total number of educationalists in the three committeesCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.Q. Which of the following CANNOT be determined uniquely based on the given information?a) The size of the teaching committeeb) The size of the research committeec) The total number of bureaucrats in the three committeesd) The total number of educationalists in the three committeesCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.Q. Which of the following CANNOT be determined uniquely based on the given information?a) The size of the teaching committeeb) The size of the research committeec) The total number of bureaucrats in the three committeesd) The total number of educationalists in the three committeesCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.Q. Which of the following CANNOT be determined uniquely based on the given information?a) The size of the teaching committeeb) The size of the research committeec) The total number of bureaucrats in the three committeesd) The total number of educationalists in the three committeesCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.Q. Which of the following CANNOT be determined uniquely based on the given information?a) The size of the teaching committeeb) The size of the research committeec) The total number of bureaucrats in the three committeesd) The total number of educationalists in the three committeesCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.Q. Which of the following CANNOT be determined uniquely based on the given information?a) The size of the teaching committeeb) The size of the research committeec) The total number of bureaucrats in the three committeesd) The total number of educationalists in the three committeesCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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