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Year

CAT 2023

Section

Data

Topic

Caselets

Difficulty

Hard

Question

Slot-3

Read the passage and answer the questions below.

Passage:

There are only three female students - Amala, Koli and Rini - and only three male students - Biman, Mathew and Shyamal - in a course. The course has two evaluation components, a project and a test. The aggregate score in the course is a weighted average of the two components, with the weights being positive and adding to 1.

The projects are done in groups of two, with each group consisting of a female and a male student. Both the group members obtain the same score in the project.

The following additional facts are known about the scores in the project and the test.

  1. The minimum, maximum and the average of both project and test scores were identical - 40,80 and 60 , respectively.
  2. The test scores of the students were all multiples of 10; four of them were distinct and the remaining two were equal to the average test scores.
  3. Amala's score in the project was double that of Koli in the same, but Koli scored 20 more than Amala in the test. Yet Amala had the highest aggregate score.
  4. Shyamal scored the second highest in the test. He scored two more than Koli, but two less than Amala in the aggregate.
  5. Biman scored the second lowest in the test and the lowest in the aggregate.
  6. Mathew scored more than Rini in the project, but less than her in the test.

Question 1

What was Rini's score in the project?

Question 2

What was the weight of the test component?

0.60

0.50

0.75

0.40

Question 3

What was the maximum aggregate score obtained by the students?

68

80

62

66

Question 4

What was Mathew's score in the test?

Question 5

Which of the following pairs of students were part of the same project team?

i) Amala and Biman

ii) Koli and Mathew

Only ii)

Only i)

Neither i) nor ii)

Both i) and ii)

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