CAT 2018 Slot 1 DILR Set 8 Q29–Q32

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2018 Slot 1, with 4 questions (Selection & Distribution). Answers are CAT's official key.

The set

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.

Question 29

Based on the given information, which of the following statements MUST be FALSE?
  1. A
    In the administration committee the number of bureaucrats is equal to the number of educationalists
  2. B
    The size of the research committee is less than the size of the teaching committee
  3. C
    The size of the research committee is less than the size of the administration committee
  4. D
    In the teaching committee the number of educationalists is equal to the number of politicians

Answer: (B) The size of the research committee is less than the size of the teaching committee Selection & Distribution MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 30

What is the number of bureaucrats in the administration committee? (TITA)

TITA: type in the answer. There are no options and no negative marking.

Answer: 4 Selection & Distribution TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 31

What is the number of educationalists in the research committee? (TITA)

TITA: type in the answer. There are no options and no negative marking.

Answer: 3 Selection & Distribution TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 32

Which of the following CANNOT be determined uniquely based on the given information?
  1. A
    The total number of educationalists in the three committees
  2. B
    The total number of bureaucrats in the three committees
  3. C
    The size of the teaching committee
  4. D
    The size of the research committee

Answer: (C) The size of the teaching committee Selection & Distribution MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Same concept in other years

See every question on Cross-classification of a population by two or three attributes; fill the contingency table.

More Selection & Distribution questions from CAT

All 41 Selection & Distribution questions asked since 2017.