In a project network, which sequence of activities forms the critical path?

• A. A-B-C-E
• B. F-G-J-K
• C. D-E-G-H
• D. B-C-F-J

Answer: (B)

The sequence being tested is the one that forms the longest total duration from start to finish and has zero total slack. This path determines the minimum time needed to complete the project, so any delay on it directly delays the entire project.

In this network, the route through F, G, J, and K adds up to the greatest amount of work between start and finish and has no slack, which is why it is the critical path. The other routes have some slack, meaning they can be delayed a bit without extending the project’s finish date. Therefore, the F–G–J–K sequence is the critical path because it controls the project’s completion time.