CAT 2021 Slot 3 DILR Set 3 Q13–Q16

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2021 Slot 3, with 4 questions (Charts & Tables). Answers are CAT's official key.

The set

This set relies on a figure in the original paper, which is not reproduced here. The questions and answers are below.

[Figure in the original paper]
The figure above shows the schedule of four employees – Abani, Bahni, Danni and Tinni – whom Dhoni supervised in 2020. Altogether there were five projects which started and concluded in 2020 in which they were involved. For each of these projects and for each employee, the starting day was at the beginning of a month and the concluding day was the end of a month, and these are indicated by the left and right end points of the corresponding horizontal bars. The number within each bar indicates the percentage of assigned work completed by the employee for that project, as assessed by Dhoni.

For each employee, his/her total project-month (in 2020) is the sum of the number of months (s)he worked across the five project, while his/her annual completion index is the weightage average of the completion percentage assigned from the different projects, with the weights being the corresponding number of months (s)he worked in these projects. For each project, the total employee-month is the sum of the number of months four employees worked in this project, while its completion index is the weightage average of the completion percentage assigned for the employees who worked in this project, with the weights being the corresponding number of months they worked in this project.

Question 13

Which of the following statements is/are true?

I: The total project-month was the same for the four employees.
II: The total employee-month was the same for the five projects.
  1. A
    Neither I nor II
  2. B
    Only II
  3. C
    Both I and II
  4. D
    Only I

Answer: (D) Only I Charts & Tables MCQ

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

Question 14

Which employees did not work in multiple projects for any of the months in 2020?
  1. A
    Only Abani and Bahni
  2. B
    All four of them
  3. C
    Only Tinni
  4. D
    Only Abani, Bahni and Danni

Answer: (D) Only Abani, Bahni and Danni Charts & Tables MCQ

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

Question 15

The project duration, measured in terms of the number of months, is the time during which at least one employee worked in the project. Which of the following pairs of the projects had the same duration?
  1. A
    Project 3, Project 5
  2. B
    Project 1, Project 5
  3. C
    Project 4, Project 5
  4. D
    Project 3, Project 4

Answer: (D) Project 3, Project 4 Charts & Tables MCQ

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

Question 16

The list of employees in decreasing order of annual completion index is:
  1. A
    Danni, Tinni, Bahni, Abani
  2. B
    Bahni, Abani, Tinni, Danni
  3. C
    Danni, Tinni, Abani, Bahni
  4. D
    Tinni, Danni, Abani, Bahni

Answer: (C) Danni, Tinni, Abani, Bahni Charts & Tables MCQ

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