Wide Arrangement DILR Cat 2023 Slot 3

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.