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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. What is the number of educationalists in the research committee?
Correct answer is '3'. 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 see that the number of educationalists in the research committee = 3.
Most Upvoted Answer
Twenty four people are part of three committees which are to look at ...
Analysis:
Understanding the Facts:
- There are three committees: research, teaching, and administration.
- Each committee has bureaucrats, educationalists, and politicians.
- No two committees have any member in common.
- No two committees are of the same size.
Given Facts:
1. Number of bureaucrats in the research and teaching committees are equal, while bureaucrats in the research committee are 75% of the bureaucrats in the administration committee.
2. 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.
Solution:
Let's assume the number of bureaucrats in the administration committee is 'x'.
- Therefore, the number of bureaucrats in the research committee is 0.75x.
- And the number of bureaucrats in the teaching committee is also x.
From point 2:
- Number of educationalists in the research committee = (Number of educationalists in administration + Number of educationalists in teaching) / 2
- Let the number of educationalists in the research committee be 'y'.
From point 3:
- 60% of politicians are in administration, and 20% are in teaching. Let the number of politicians in administration be 'z'.
Now, we know the total number of members in each committee is 8.
- Therefore, the number of educationalists in the research committee = 3 (bureaucrats + educationalists + politicians)
Hence, the number of educationalists in the research committee is 3.
Understanding the Facts:
- There are three committees: research, teaching, and administration.
- Each committee has bureaucrats, educationalists, and politicians.
- No two committees have any member in common.
- No two committees are of the same size.
Given Facts:
1. Number of bureaucrats in the research and teaching committees are equal, while bureaucrats in the research committee are 75% of the bureaucrats in the administration committee.
2. 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.
Solution:
Let's assume the number of bureaucrats in the administration committee is 'x'.
- Therefore, the number of bureaucrats in the research committee is 0.75x.
- And the number of bureaucrats in the teaching committee is also x.
From point 2:
- Number of educationalists in the research committee = (Number of educationalists in administration + Number of educationalists in teaching) / 2
- Let the number of educationalists in the research committee be 'y'.
From point 3:
- 60% of politicians are in administration, and 20% are in teaching. Let the number of politicians in administration be 'z'.
Now, we know the total number of members in each committee is 8.
- Therefore, the number of educationalists in the research committee = 3 (bureaucrats + educationalists + politicians)
Hence, the number of educationalists in the research committee is 3.
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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. What is the number of educationalists in the research committee?Correct answer is '3'. 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. What is the number of educationalists in the research committee?Correct answer is '3'. 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. What is the number of educationalists in the research committee?Correct answer is '3'. 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. What is the number of educationalists in the research committee?Correct answer is '3'. 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. What is the number of educationalists in the research committee?Correct answer is '3'. 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. What is the number of educationalists in the research committee?Correct answer is '3'. 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. What is the number of educationalists in the research committee?Correct answer is '3'. 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. What is the number of educationalists in the research committee?Correct answer is '3'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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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. What is the number of educationalists in the research committee?Correct answer is '3'. 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. What is the number of educationalists in the research committee?Correct answer is '3'. 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. What is the number of educationalists in the research committee?Correct answer is '3'. Can you explain this answer? theory, EduRev gives you an
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