CAT 2025 Lesson : DILR: Jan '25 to Feb '25 - Matching: 13 Jan 2025
Details for Questions 1 to 4 are provided below
Adriana, Bandita, Chitra, and Daisy are four female students, and Amit, Barun, Chetan, and Deb are four male students. Each of them studies in one of three institutes - X, Y, and Z. Each student majors in one subject among Marketing, Operations, and Finance, and minors in a different one among these three subjects. The following facts are known about the eight students:
1. Three students are from X, three are from Y, and the remaining two students, both female, are from Z.
2. Both the male students from Y minor in Finance, while the female student from Y majors in Operations.
3. Only one male student majors in Operations, while three female students minor in Marketing.
4. One female and two male students major in Finance.
5. Adriana and Deb are from the same institute. Daisy and Amit are from the same institute.
6. Barun is from Y and majors in Operations. Chetan is from X and majors in Finance.
7. Daisy minors in Operations. [CAT 2018 Slot 1]
1) Who are the students from the institute Z?
(1) Bandita and Chitra
(2) Adriana and Daisy
(3) Adriana and Bandita
(4) Chitra and Daisy
2) Which subject does Deb minor in?
(1) Cannot be determined uniquely from the given information
(2) Operations
(3) Marketing
(4) Finance
3) Which subject does Amit major in?
(1) Operations
(2) Finance
(3) Cannot be determined uniquely from the given information
(4) Marketing
4) If Chitra majors in Finance, which subject does Bandita major in?
(1) Marketing
(2) Finance
(3) Cannot be determined uniquely from the given information
(4) Operations
Details for Questions 5 to 8 are provided below
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. [CAT 2018 Slot 1]
5) Based on the given information, which of the following statements MUST be FALSE?
(1) In the teaching committee the number of educationalists is equal to the number of politicians
(2) The size of the research committee is less than the size of the administration committee
(3) In the administration committee the number of bureaucrats is equal to the number of educationalists
(4) The size of the research committee is less than the size of the teaching committee
6) What is the number of bureaucrats in the administration committee?
Answer:
7) What is the number of educationalists in the research committee?
Answer:
8) Which of the following CANNOT be determined uniquely based on the given information?
(1) The size of the research committee
(2) The total number of bureaucrats in the three committees
(3) The total number of educationalists in the three committees
(4) The size of the teaching committee
Solution
1) (1) Bandita and Chitra
2) (4) Finance
3) (2) Finance
4) (4) Operations
5) (4) The size of the research committee is less than the size of the teaching committee
6) 4
7) 3
8) (4) The size of the teaching committee
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