Question

Q1. Which of the following statements regarding Critical Path Method (CPM) networks is true?

A) There can be multiple critical paths on the same project, all with different durations.

B) The early finish of an activity is the latest early start of all preceding activities.

C) The late start of an activity is its late finish plus its duration.

D) If a specific project has multiple critical paths, all of them will not have the same duration.

E) B) and C).

F) None of the above are true.

Q2. Activity D on a Critical Path Method (CPM) network has predecessors B and C, and has successors E and F. D has duration 6. B's earliest finish is 18, while C's is 20. F's late start is 28, while E’s is 30. Which of the following is definitely true?

A) B is a critical activity.

B) C is completed before B.

C) D is critical, and has zero slack.

D) F is critical, and has zero slack.

E) D has a slack of 2, and not critical.

F) None of the above

Answer 1

Question 1:

Answer: F) None of the above are true.

Following path will be true if there is change as shown in bold and underlined:

A) There can be multiple critical paths on the same project, all with the same durations.

B) The early finish of an activity is the latest early start of all succeeding activities.

C) The late start of an activity is its late finish minus its duration.

D) If a specific project has multiple critical paths, all of them will not have a different duration.

Question 2:

Answer: E) D has a slack of 2, and not critical.

We prepare a network diagram as shown below:

Slack is shown in green. As seen from above, D has a slack of 2. Since it has slack of 2, it is not critical. Activity B is completed before C. Since all activities have slack, all activities shown are non-critical.

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