1. In the context of PERT and CPM, what does "float" or "slack" mean?
A. The difference between the early start and late start of an activity.
B. The total project time.
C. The difference between the early finish and late finish of an activity.
D. The duration of the critical path.
Answer: A) The difference between the early start and late start of an activity.
Rationale:
Float or slack refers to the amount of time an activity can be delayed without affecting
the project's completion time.
2. If a project's total duration is 30 days and the critical path consists of 4 activities
with durations of 6 days, 5 days, 8 days, and 7 days, what is the float for a non-critical
activity with a duration of 4 days?
A. 3 days
B. 2 days
C. 4 days
D. 6 days
,Answer: B) 2 days
Rationale and Working Out:
• Critical path duration = 6 + 5 + 8 + 7 = 26 days.
• Total project duration = 30 days.
• Float for non-critical activity = Total duration - Critical path duration =
30−26=4 days of float.30 - 26 = 4 \text{ days of float}.30−26=4 days of float.
3. What is the total duration of a project if the critical path consists of activities A (5
days), B (6 days), and C (4 days)?
A. 14 days
B. 15 days
C. 16 days
D. 17 days
Answer: B) 15 days
Rationale:
The total duration of the project is the sum of the durations of the activities on the
critical path:
5+6+4=15 days.5 + 6 + 4 = 15 \text{ days}.5+6+4=15 days.
,4. In a project, the duration of activity A is 8 days, and the duration of activity B is 12
days. If activities A and B are performed sequentially, what is the total duration for
this sequence?
A. 12 days
B. 20 days
C. 8 days
D. 24 days
Answer: B) 20 days
Rationale:
Since activities A and B are sequential, the total duration is the sum of their durations:
8+12=20 days.8 + 12 = 20 \text{ days}.8+12=20 days.
5. What is the main objective of resource leveling in project scheduling?
A. To reduce the project duration by optimizing the critical path.
B. To adjust resource usage so that resources are not over-allocated.
C. To identify activities that can be done concurrently.
D. To reduce the float for critical activities.
Answer: B) To adjust resource usage so that resources are not over-allocated.
Rationale:
, Resource leveling focuses on balancing the demand for resources with the available
supply, ensuring that resources are not over-allocated or stretched thin.
6. Which of the following is a limitation of PERT?
A. It only calculates the total project cost.
B. It assumes all activities have deterministic durations.
C. It relies on three-time estimates, which may not be accurate.
D. It does not account for resource constraints.
Answer: C) It relies on three-time estimates, which may not be accurate.
Rationale:
PERT uses optimistic, most likely, and pessimistic time estimates, which may not
always be accurate. It assumes a probabilistic distribution of activity durations, which
can lead to errors in estimation.
7. In PERT analysis, if the optimistic time is 3 days, the most likely time is 5 days,
and the pessimistic time is 7 days, what is the expected time for the activity?
A. 5 days
B. 4 days
C. 5.5 days
A. The difference between the early start and late start of an activity.
B. The total project time.
C. The difference between the early finish and late finish of an activity.
D. The duration of the critical path.
Answer: A) The difference between the early start and late start of an activity.
Rationale:
Float or slack refers to the amount of time an activity can be delayed without affecting
the project's completion time.
2. If a project's total duration is 30 days and the critical path consists of 4 activities
with durations of 6 days, 5 days, 8 days, and 7 days, what is the float for a non-critical
activity with a duration of 4 days?
A. 3 days
B. 2 days
C. 4 days
D. 6 days
,Answer: B) 2 days
Rationale and Working Out:
• Critical path duration = 6 + 5 + 8 + 7 = 26 days.
• Total project duration = 30 days.
• Float for non-critical activity = Total duration - Critical path duration =
30−26=4 days of float.30 - 26 = 4 \text{ days of float}.30−26=4 days of float.
3. What is the total duration of a project if the critical path consists of activities A (5
days), B (6 days), and C (4 days)?
A. 14 days
B. 15 days
C. 16 days
D. 17 days
Answer: B) 15 days
Rationale:
The total duration of the project is the sum of the durations of the activities on the
critical path:
5+6+4=15 days.5 + 6 + 4 = 15 \text{ days}.5+6+4=15 days.
,4. In a project, the duration of activity A is 8 days, and the duration of activity B is 12
days. If activities A and B are performed sequentially, what is the total duration for
this sequence?
A. 12 days
B. 20 days
C. 8 days
D. 24 days
Answer: B) 20 days
Rationale:
Since activities A and B are sequential, the total duration is the sum of their durations:
8+12=20 days.8 + 12 = 20 \text{ days}.8+12=20 days.
5. What is the main objective of resource leveling in project scheduling?
A. To reduce the project duration by optimizing the critical path.
B. To adjust resource usage so that resources are not over-allocated.
C. To identify activities that can be done concurrently.
D. To reduce the float for critical activities.
Answer: B) To adjust resource usage so that resources are not over-allocated.
Rationale:
, Resource leveling focuses on balancing the demand for resources with the available
supply, ensuring that resources are not over-allocated or stretched thin.
6. Which of the following is a limitation of PERT?
A. It only calculates the total project cost.
B. It assumes all activities have deterministic durations.
C. It relies on three-time estimates, which may not be accurate.
D. It does not account for resource constraints.
Answer: C) It relies on three-time estimates, which may not be accurate.
Rationale:
PERT uses optimistic, most likely, and pessimistic time estimates, which may not
always be accurate. It assumes a probabilistic distribution of activity durations, which
can lead to errors in estimation.
7. In PERT analysis, if the optimistic time is 3 days, the most likely time is 5 days,
and the pessimistic time is 7 days, what is the expected time for the activity?
A. 5 days
B. 4 days
C. 5.5 days
