UML Problem-Solving and Analytical Questions

1. A train leaves a station traveling at 60 miles per hour. Ten minutes later, a second train leaves the same station traveling at 75 miles per hour. When will the second train catch up to the first?

2. You have a 5-liter jug and a 3-liter jug. How can you measure exactly 4 liters of water using these jugs?

3. You are given a set of numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. In how many different ways can you select 3 numbers such that their sum is greater than 15?

4. A farmer has a rectangular field that measures 100 meters by 200 meters. He wants to divide the field into two sections with a fence that runs diagonally from one corner to the opposite corner. What is the total length of the fence he needs?

5. Analyze the following dataset representing sales figures over six months: January: $2000, February: $3000, March: $2500, April: $4000, May: $3500, June: $5000. What is the monthly growth rate on average, and which month shows the highest variance in sales?

6. You have a list of eight applications ranked by priority. If three applications are removed, how can you reorder the remaining applications to maintain at least a partial order based on their initial priority?

7. Given a system with three components (A, B, C), where A has a failure rate of 0.01, B has a failure rate of 0.02, and C has a failure rate of 0.03, calculate the overall system reliability assuming the components function independently.

8. During a project review, a team discovers that 75% of their requirements are complete but only 50% of the project time has elapsed. What steps should the team take to evaluate if the project is on track and how to address any potential delays?

9. You are assigned a project with 12 distinct tasks, but only 3 can be worked on at any given time due to resource constraints. How can you approach scheduling these tasks to minimize total project completion time?

10. Given a binary tree structure representing a company's organizational hierarchy, how would you traverse this tree to produce a list of all employee names at the second level of the hierarchy?