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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. Based on the given information, which of the following statements MUST be FALSE?
- a)In the teaching committee the number of educationalists is equal to the number of politicians
- b)In the administration committee the number of bureaucrats is equal to the number of educationalists
- c)The size of the research committee is less than the size of the teaching committee
- d)The size of the research committee is less than the size of the administration committee
Correct answer is option 'C'. 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.
Let us check the option one by one.
Option a: In the teaching committee the number of educationalists is equal to the number of politicians. We can see that in the teaching committee the number of educationalists can be equal to the number of politicians when both the numbers are '1'. Hence, this statement can be correct.
Option b: In the administration committee the number of bureaucrats is equal to the number of educationalists. We can see that in the administration committee the number of bureaucrats can be equal to the number of educationalists when both the numbers are '4'.
Hence, this statement can be correct.
Option c: The size of the research committee is less than the size of the teaching committee. We can see the maximum size of teaching committee can be '6' which is less than the size of the research committee. Hence, the sentence is incorrect.
Option d: The size of the research committee is less than the size of the administration committee. We can see the minimum size of Administration committee can be '9' which is more than the size of the research committee. Hence, this statement is correct.
Therefore, we can say that option C is the correct answer.
Most Upvoted Answer
Twenty four people are part of three committees which are to look at ...
Explanation:
Given Information:
- Three committees: research, teaching, administration
- Total of 24 people
- No two committees have any member in common
- Each committee has bureaucrats, educationalists, and politicians
- Each committee has at least one of each type
Analysis:
- Let's assume the number of bureaucrats in the research committee is x
- The number of bureaucrats in the teaching committee is also x
- The number of bureaucrats in the administration committee is 1.5x
- The number of educationalists in the research committee is the average of the numbers in the other two committees
- Let the number of educationalists in the research committee be y
- The number of educationalists in the teaching committee is less than y
- The number of educationalists in the administration committee is more than y
- 60% of politicians are in the administration committee
- 20% of politicians are in the teaching committee
False Statement:
c) The size of the research committee is less than the size of the teaching committee
- From the given information, we can see that the research committee has an equal or greater number of members compared to the teaching committee
- Therefore, the statement that the size of the research committee is less than the size of the teaching committee must be false.
Given Information:
- Three committees: research, teaching, administration
- Total of 24 people
- No two committees have any member in common
- Each committee has bureaucrats, educationalists, and politicians
- Each committee has at least one of each type
Analysis:
- Let's assume the number of bureaucrats in the research committee is x
- The number of bureaucrats in the teaching committee is also x
- The number of bureaucrats in the administration committee is 1.5x
- The number of educationalists in the research committee is the average of the numbers in the other two committees
- Let the number of educationalists in the research committee be y
- The number of educationalists in the teaching committee is less than y
- The number of educationalists in the administration committee is more than y
- 60% of politicians are in the administration committee
- 20% of politicians are in the teaching committee
False Statement:
c) The size of the research committee is less than the size of the teaching committee
- From the given information, we can see that the research committee has an equal or greater number of members compared to the teaching committee
- Therefore, the statement that the size of the research committee is less than the size of the teaching committee must be false.
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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.
Let us check the option one by one.
Option a: In the teaching committee the number of educationalists is equal to the number of politicians. We can see that in the teaching committee the number of educationalists can be equal to the number of politicians when both the numbers are '1'. Hence, this statement can be correct.
Option b: In the administration committee the number of bureaucrats is equal to the number of educationalists. We can see that in the administration committee the number of bureaucrats can be equal to the number of educationalists when both the numbers are '4'.
Hence, this statement can be correct.
Option c: The size of the research committee is less than the size of the teaching committee. We can see the maximum size of teaching committee can be '6' which is less than the size of the research committee. Hence, the sentence is incorrect.
Option d: The size of the research committee is less than the size of the administration committee. We can see the minimum size of Administration committee can be '9' which is more than the size of the research committee. Hence, this statement is correct.
Therefore, we can say that option C 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. Based on the given information, which of the following statements MUST be FALSE?a) In the teaching committee the number of educationalists is equal to the number of politiciansb) In the administration committee the number of bureaucrats is equal to the number of educationalistsc) The size of the research committee is less than the size of the teaching committeed) The size of the research committee is less than the size of the administration committeeCorrect answer is option 'C'. 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. Based on the given information, which of the following statements MUST be FALSE?a) In the teaching committee the number of educationalists is equal to the number of politiciansb) In the administration committee the number of bureaucrats is equal to the number of educationalistsc) The size of the research committee is less than the size of the teaching committeed) The size of the research committee is less than the size of the administration committeeCorrect answer is option 'C'. 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. Based on the given information, which of the following statements MUST be FALSE?a) In the teaching committee the number of educationalists is equal to the number of politiciansb) In the administration committee the number of bureaucrats is equal to the number of educationalistsc) The size of the research committee is less than the size of the teaching committeed) The size of the research committee is less than the size of the administration committeeCorrect answer is option 'C'. 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. Based on the given information, which of the following statements MUST be FALSE?a) In the teaching committee the number of educationalists is equal to the number of politiciansb) In the administration committee the number of bureaucrats is equal to the number of educationalistsc) The size of the research committee is less than the size of the teaching committeed) The size of the research committee is less than the size of the administration committeeCorrect answer is option 'C'. 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. Based on the given information, which of the following statements MUST be FALSE?a) In the teaching committee the number of educationalists is equal to the number of politiciansb) In the administration committee the number of bureaucrats is equal to the number of educationalistsc) The size of the research committee is less than the size of the teaching committeed) The size of the research committee is less than the size of the administration committeeCorrect answer is option 'C'. 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. Based on the given information, which of the following statements MUST be FALSE?a) In the teaching committee the number of educationalists is equal to the number of politiciansb) In the administration committee the number of bureaucrats is equal to the number of educationalistsc) The size of the research committee is less than the size of the teaching committeed) The size of the research committee is less than the size of the administration committeeCorrect answer is option 'C'. 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. Based on the given information, which of the following statements MUST be FALSE?a) In the teaching committee the number of educationalists is equal to the number of politiciansb) In the administration committee the number of bureaucrats is equal to the number of educationalistsc) The size of the research committee is less than the size of the teaching committeed) The size of the research committee is less than the size of the administration committeeCorrect answer is option 'C'. 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. Based on the given information, which of the following statements MUST be FALSE?a) In the teaching committee the number of educationalists is equal to the number of politiciansb) In the administration committee the number of bureaucrats is equal to the number of educationalistsc) The size of the research committee is less than the size of the teaching committeed) The size of the research committee is less than the size of the administration committeeCorrect answer is option 'C'. 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. Based on the given information, which of the following statements MUST be FALSE?a) In the teaching committee the number of educationalists is equal to the number of politiciansb) In the administration committee the number of bureaucrats is equal to the number of educationalistsc) The size of the research committee is less than the size of the teaching committeed) The size of the research committee is less than the size of the administration committeeCorrect answer is option 'C'. 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. Based on the given information, which of the following statements MUST be FALSE?a) In the teaching committee the number of educationalists is equal to the number of politiciansb) In the administration committee the number of bureaucrats is equal to the number of educationalistsc) The size of the research committee is less than the size of the teaching committeed) The size of the research committee is less than the size of the administration committeeCorrect answer is option 'C'. 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. Based on the given information, which of the following statements MUST be FALSE?a) In the teaching committee the number of educationalists is equal to the number of politiciansb) In the administration committee the number of bureaucrats is equal to the number of educationalistsc) The size of the research committee is less than the size of the teaching committeed) The size of the research committee is less than the size of the administration committeeCorrect answer is option 'C'. 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. Based on the given information, which of the following statements MUST be FALSE?a) In the teaching committee the number of educationalists is equal to the number of politiciansb) In the administration committee the number of bureaucrats is equal to the number of educationalistsc) The size of the research committee is less than the size of the teaching committeed) The size of the research committee is less than the size of the administration committeeCorrect answer is option 'C'. 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. Based on the given information, which of the following statements MUST be FALSE?a) In the teaching committee the number of educationalists is equal to the number of politiciansb) In the administration committee the number of bureaucrats is equal to the number of educationalistsc) The size of the research committee is less than the size of the teaching committeed) The size of the research committee is less than the size of the administration committeeCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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