n a company, the automation department is currently engaged in 5 projects. Project 1 is the first to begin, and the Project 5 is the last to begin. The department has 6 team members- A, B, C, D, E, and F. These 5 projects are expected to begin and end within a 20-day period.Project 1 starts on the 1st day and ends after 7 consecutive days of work, on the 7th day. Project 5 begins on the 14th day and ends after 7 days of works, on the 20th day. Similarly, work on each project is carried out on successive days without a break. The days on which a project starts and ends are counted in the duration of the project.The following is also known about these projects:(i) No member works in more than 3 projects or fewer than 2. All the other projects have 3 team members, except for project 3, which has 4 team members. In Project 1, D and F are involved, while B and A are involved in Project 5.(ii) One of the team members is only available for the first 2 projects. On the other hand, one of the team members is available in a way such that the duration between the start of the only two projects s/he is involved in is maximum possible.(iii) No project is under progress on day 9 only i.e., the projects that began before 9th have finished, and a new one is yet to start. Except one project, all projects have a duration of more than 5 days.(iv) Project 2 starts on the 3rd day whereas project 3 ends on the 12th day. Only one of the projects starts on the same day on which the previous project ends.(v) Everyone, except B and F, work on at least 2 successive projects. B works on a total of 3 projects, out of which no two are successive. In total, there are 3 people involved in 3 successive projects out of the 5. However, these team members may or may not be involved in the same set of projects.Question No 34.Which of the following members work in exactly same set of projects?1)  A and F2)  C and D3)  C and E4)  D and F

The question is quite complex and requires a detailed analysis of the information provided. Here's a step-by-step breakdown:

1. First, let's map out the projects and their durations based on the information given:

   • Project 1: Day 1 - Day 7 (D, F)
   • Project 2: Starts Day 3 (unknown end date)
   • Project 3: Ends Day 12 (4 team members)
   • Project 4: Unknown start and end dates
   • Project 5: Day 14 - Day 20 (A, B)

2. From point (iii), we know that no project is under progress on Day 9. This means that Project 2 must end on Day 8.

3. From point (iv), we know that only one project starts on the same day another ends. Since Project 5 starts on the same day Project 1 ends, Project 3 cannot start on Day 8 (when Project 2 ends). Therefore, Project 3 must start on Day 9 and end on Day 12.

4. This leaves Project 4, which must start on Day 13 (after Project 3 ends) and end on Day 13 (before Project 5 starts), making it the only project with a duration of less than 5 days.

5. Now, let's look at the team members. From point (ii), we know that one team member is only available for the first 2 projects. This must be D or F, as they are the only ones we know are involved in Project 1. Since D and F cannot be in Project 5 (A and B are already there and no one can be in more than 3 projects), they must be in Project 2. Let's say D is in Projects 1 and 2.

6. From point (v), we know that B works on 3 projects, none of which are successive. Since B is in Project 5, the other two projects must be Projects 1 and 3.

7. We also know from point (v) that 3 people are involved in 3 successive projects. Since D is in Projects 1 and 2, and B is in Projects 1, 3, and 5, the only possible projects for these 3 people are Projects 2, 3, and 4. Therefore, F must be in Projects 2, 3, and 4.

8. This leaves A, C, and E. Since everyone except B and F work on at least 2 successive projects, and A is in Project 5, A must also be in Project 4. Similarly, since C and E must be in at least 2 projects, they must be in Projects 3 and 4.

9. Therefore, the final assignment of team members to projects is:

   • Project 1: D, F, B
   • Project 2: D, F
   • Project 3: F, B, C, E
   • Project 4: A, F, C, E
   • Project 5: A, B

10. From this, we can see that the members who work in exactly the same set of projects are C and E, who both work on Projects 3 and 4. Therefore, the answer is 3) C and E.