CAT Exam  >  CAT Questions  >  Directions for Questions: Twenty four people ... Start Learning for Free
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 numbe r 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. Which of the following CANNOT be determined uniquely based on the given information?
  • a)
    The total number of bureaucrats in the three committees
  • b)
    The size of the teaching committee
  • c)
    The total number of educationalists in the three committees
  • d)
    The size of the research committee
Correct answer is option 'B'. 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

Size of the teaching committee cannot be determined uniquely.
View all questions of this test
Most Upvoted Answer
Directions for Questions: Twenty four people are part of three committ...
Explanation:

Total number of bureaucrats in the three committees:
- The number of bureaucrats in the research and teaching committees are equal.
- The number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.
- Based on the given information, we can uniquely determine the total number of bureaucrats in the three committees.

The size of the teaching 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.
- However, the size of the teaching committee cannot be uniquely determined as there are multiple possibilities that satisfy the given conditions.

Total number of educationalists in the three committees:
- 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.
- Based on the given information, we can uniquely determine the total number of educationalists in the three committees.

The size of the research committee:
- The number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.
- The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.
- The size of the research committee can be uniquely determined based on the given information.
Free Test
Community 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

Size of the teaching committee cannot be determined uniquely.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

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 numbe r 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.Which of the following CANNOT be determined uniquely based on the given information?a)The total number of bureaucrats in the three committeesb)The size of the teaching committeec)The total number of educationalists in the three committeesd)The size of the research committeeCorrect answer is option 'B'. Can you explain this answer?
Question Description
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 numbe r 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.Which of the following CANNOT be determined uniquely based on the given information?a)The total number of bureaucrats in the three committeesb)The size of the teaching committeec)The total number of educationalists in the three committeesd)The size of the research committeeCorrect answer is option 'B'. 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 numbe r 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.Which of the following CANNOT be determined uniquely based on the given information?a)The total number of bureaucrats in the three committeesb)The size of the teaching committeec)The total number of educationalists in the three committeesd)The size of the research committeeCorrect answer is option 'B'. 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 numbe r 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.Which of the following CANNOT be determined uniquely based on the given information?a)The total number of bureaucrats in the three committeesb)The size of the teaching committeec)The total number of educationalists in the three committeesd)The size of the research committeeCorrect answer is option 'B'. 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 numbe r 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.Which of the following CANNOT be determined uniquely based on the given information?a)The total number of bureaucrats in the three committeesb)The size of the teaching committeec)The total number of educationalists in the three committeesd)The size of the research committeeCorrect answer is option 'B'. 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 numbe r 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.Which of the following CANNOT be determined uniquely based on the given information?a)The total number of bureaucrats in the three committeesb)The size of the teaching committeec)The total number of educationalists in the three committeesd)The size of the research committeeCorrect answer is option 'B'. 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 numbe r 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.Which of the following CANNOT be determined uniquely based on the given information?a)The total number of bureaucrats in the three committeesb)The size of the teaching committeec)The total number of educationalists in the three committeesd)The size of the research committeeCorrect answer is option 'B'. 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 numbe r 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.Which of the following CANNOT be determined uniquely based on the given information?a)The total number of bureaucrats in the three committeesb)The size of the teaching committeec)The total number of educationalists in the three committeesd)The size of the research committeeCorrect answer is option 'B'. 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 numbe r 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.Which of the following CANNOT be determined uniquely based on the given information?a)The total number of bureaucrats in the three committeesb)The size of the teaching committeec)The total number of educationalists in the three committeesd)The size of the research committeeCorrect answer is option 'B'. 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 numbe r 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.Which of the following CANNOT be determined uniquely based on the given information?a)The total number of bureaucrats in the three committeesb)The size of the teaching committeec)The total number of educationalists in the three committeesd)The size of the research committeeCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

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