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Directions for Questions: 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 politician s are in the administration committee, and 20% are in the teaching committee.
(2018)
Q. Based on the given information, which of the following statements MUST be FALSE?
  • a)
    The size of the research committee is less than the size of the teaching committee
  • b)
    The size of the research committee is less than the size of the administration committee
  • c)
    In the administration committee the number of bureaucrats is equal to the number of educationalists
  • d)
    In the teaching committee the number of educationalists is equal to the number of politicians
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Directions for Questions: Twenty four people are part of three committ...

Total = 24
Bureaucrats are in the ratio 3 : 3 : 4 only value will be 3, 3, 4.
So x = 1
Politicians are in ratio 1 : 1 : 3, only value will be 1, 1, 3.
p + q + r = 9

q < p < r
Possible value of p, q, r are 3, 2, 4 and 3, 1, 5.
Hence, educationalist

The size of the research committee is less than teaching committee is false.
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Directions for Questions: 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 researchcommittee. 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 politician s are in the administration committee, and 20% are in the teaching committee.(2018)Q.Based on the given information, which of the following statements MUST be FALSE?a)The size of the research committee is less than the size of the teaching committeeb)The size of the research committee is less than the size of the administration committeec)In the administration committee the number of bureaucrats is equal to the number of educationalistsd)In the teaching committee the number of educationalists is equal to the number of politiciansCorrect answer is option 'A'. Can you explain this answer?
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Directions for Questions: 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 researchcommittee. 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 politician s are in the administration committee, and 20% are in the teaching committee.(2018)Q.Based on the given information, which of the following statements MUST be FALSE?a)The size of the research committee is less than the size of the teaching committeeb)The size of the research committee is less than the size of the administration committeec)In the administration committee the number of bureaucrats is equal to the number of educationalistsd)In the teaching committee the number of educationalists is equal to the number of politiciansCorrect 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 Directions for Questions: 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 researchcommittee. 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 politician s are in the administration committee, and 20% are in the teaching committee.(2018)Q.Based on the given information, which of the following statements MUST be FALSE?a)The size of the research committee is less than the size of the teaching committeeb)The size of the research committee is less than the size of the administration committeec)In the administration committee the number of bureaucrats is equal to the number of educationalistsd)In the teaching committee the number of educationalists is equal to the number of politiciansCorrect 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 Directions for Questions: 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 researchcommittee. 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 politician s are in the administration committee, and 20% are in the teaching committee.(2018)Q.Based on the given information, which of the following statements MUST be FALSE?a)The size of the research committee is less than the size of the teaching committeeb)The size of the research committee is less than the size of the administration committeec)In the administration committee the number of bureaucrats is equal to the number of educationalistsd)In the teaching committee the number of educationalists is equal to the number of politiciansCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Directions for Questions: 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 researchcommittee. 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 politician s are in the administration committee, and 20% are in the teaching committee.(2018)Q.Based on the given information, which of the following statements MUST be FALSE?a)The size of the research committee is less than the size of the teaching committeeb)The size of the research committee is less than the size of the administration committeec)In the administration committee the number of bureaucrats is equal to the number of educationalistsd)In the teaching committee the number of educationalists is equal to the number of politiciansCorrect 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 Directions for Questions: 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 researchcommittee. 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 politician s are in the administration committee, and 20% are in the teaching committee.(2018)Q.Based on the given information, which of the following statements MUST be FALSE?a)The size of the research committee is less than the size of the teaching committeeb)The size of the research committee is less than the size of the administration committeec)In the administration committee the number of bureaucrats is equal to the number of educationalistsd)In the teaching committee the number of educationalists is equal to the number of politiciansCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions for Questions: 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 researchcommittee. 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 politician s are in the administration committee, and 20% are in the teaching committee.(2018)Q.Based on the given information, which of the following statements MUST be FALSE?a)The size of the research committee is less than the size of the teaching committeeb)The size of the research committee is less than the size of the administration committeec)In the administration committee the number of bureaucrats is equal to the number of educationalistsd)In the teaching committee the number of educationalists is equal to the number of politiciansCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Directions for Questions: 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 researchcommittee. 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 politician s are in the administration committee, and 20% are in the teaching committee.(2018)Q.Based on the given information, which of the following statements MUST be FALSE?a)The size of the research committee is less than the size of the teaching committeeb)The size of the research committee is less than the size of the administration committeec)In the administration committee the number of bureaucrats is equal to the number of educationalistsd)In the teaching committee the number of educationalists is equal to the number of politiciansCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Directions for Questions: 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 researchcommittee. 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 politician s are in the administration committee, and 20% are in the teaching committee.(2018)Q.Based on the given information, which of the following statements MUST be FALSE?a)The size of the research committee is less than the size of the teaching committeeb)The size of the research committee is less than the size of the administration committeec)In the administration committee the number of bureaucrats is equal to the number of educationalistsd)In the teaching committee the number of educationalists is equal to the number of politiciansCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions for Questions: 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 researchcommittee. 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 politician s are in the administration committee, and 20% are in the teaching committee.(2018)Q.Based on the given information, which of the following statements MUST be FALSE?a)The size of the research committee is less than the size of the teaching committeeb)The size of the research committee is less than the size of the administration committeec)In the administration committee the number of bureaucrats is equal to the number of educationalistsd)In the teaching committee the number of educationalists is equal to the number of politiciansCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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