After cancelling activity F, what is the project’s critical path?

• A. B-E-G-H-I
• B. A-D-F-H-I
• C. A-B-E-G
• D. B-C-D-I

Answer: (A)

The main idea here is that the critical path is the longest sequence of dependent activities from start to finish, and it determines the project’s completion time. Activities on this path have no slack, so delaying any of them delays the whole project. When you cancel an activity, you remove the route that includes it and then reevaluate which remaining route is longest.

Cancelling the listed activity removes the A-D-F-H-I path entirely. Among the remaining routes, the sequence B-E-G-H-I has more steps and thus a longer total duration than the others (A-B-E-G and B-C-D-I). Therefore, B-E-G-H-I becomes the new critical path, since delaying any part of it would push the project finish date.