1. 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
D. 4.33 days
Answer: D) 4.33 days
Rationale and Working Out:
Using the PERT formula for expected time:
TE=O+4M+P6TE = \frac{O + 4M + P}{6}TE=6O+4M+P
Where:
• O = Optimistic time = 3
• M = Most likely time = 5
• P = Pessimistic time = 7
TE=3+4(5)+76=3+20+76=306=5 days.TE = \frac{3 + 4(5) + 7}{6} = \frac{3 + 20 +
7}{6} = \frac{30}{6} = 5 \text{ days}.TE=63+4(5)+7=63+20+7=630=5 days.
,2. In a project with multiple dependent tasks, which of the following methods helps to
identify the longest path of tasks, dictating the project’s duration?
A. Gantt chart
B. Resource leveling
C. Critical Path Method (CPM)
D. Monte Carlo simulation
Answer: C) Critical Path Method (CPM)
Rationale:
The Critical Path Method (CPM) is used to identify the longest path of dependent
tasks, which dictates the shortest possible duration to complete the project.
3. In PERT analysis, the standard deviation of an activity is given by:
A. P−O6\frac{P - O}{6}6P−O
B. O+P2\frac{O + P}{2}2O+P
C. P+O+M3\frac{P + O + M}{3}3P+O+M
D. M−O6\frac{M - O}{6}6M−O
Answer: A) P−O6\frac{P - O}{6}6P−O
Rationale:
,The standard deviation in PERT is calculated as the difference between the
pessimistic time (P) and optimistic time (O) divided by 6.
4. Which of the following statements is TRUE about the float (slack) in a project
schedule?
A. Float is the time an activity can be delayed without delaying the project
completion.
B. Float is the time an activity can be delayed without affecting the critical path.
C. Float is always zero on the critical path.
D. Float is always positive on all activities.
Answer: C) Float is always zero on the critical path.
Rationale:
Activities on the critical path have zero float because any delay will directly impact
the project's overall completion time. Activities not on the critical path may have float
and can be delayed without affecting the project’s final duration.
5. What is the purpose of the forward pass in CPM scheduling?
A. To determine the project’s finish date.
B. To calculate the float for each activity.
, C. To calculate the latest start and finish times.
D. To determine the earliest start and finish times for each activity.
Answer: D) To determine the earliest start and finish times for each activity.
Rationale:
The forward pass is used to calculate the earliest possible start and finish times for
each activity based on the project’s start date and dependencies.
6. 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.
7. In a PERT network, if an activity has an optimistic time of 5 days, a most likely
time of 8 days, and a pessimistic time of 11 days, what is the variance of this activity?
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
D. 4.33 days
Answer: D) 4.33 days
Rationale and Working Out:
Using the PERT formula for expected time:
TE=O+4M+P6TE = \frac{O + 4M + P}{6}TE=6O+4M+P
Where:
• O = Optimistic time = 3
• M = Most likely time = 5
• P = Pessimistic time = 7
TE=3+4(5)+76=3+20+76=306=5 days.TE = \frac{3 + 4(5) + 7}{6} = \frac{3 + 20 +
7}{6} = \frac{30}{6} = 5 \text{ days}.TE=63+4(5)+7=63+20+7=630=5 days.
,2. In a project with multiple dependent tasks, which of the following methods helps to
identify the longest path of tasks, dictating the project’s duration?
A. Gantt chart
B. Resource leveling
C. Critical Path Method (CPM)
D. Monte Carlo simulation
Answer: C) Critical Path Method (CPM)
Rationale:
The Critical Path Method (CPM) is used to identify the longest path of dependent
tasks, which dictates the shortest possible duration to complete the project.
3. In PERT analysis, the standard deviation of an activity is given by:
A. P−O6\frac{P - O}{6}6P−O
B. O+P2\frac{O + P}{2}2O+P
C. P+O+M3\frac{P + O + M}{3}3P+O+M
D. M−O6\frac{M - O}{6}6M−O
Answer: A) P−O6\frac{P - O}{6}6P−O
Rationale:
,The standard deviation in PERT is calculated as the difference between the
pessimistic time (P) and optimistic time (O) divided by 6.
4. Which of the following statements is TRUE about the float (slack) in a project
schedule?
A. Float is the time an activity can be delayed without delaying the project
completion.
B. Float is the time an activity can be delayed without affecting the critical path.
C. Float is always zero on the critical path.
D. Float is always positive on all activities.
Answer: C) Float is always zero on the critical path.
Rationale:
Activities on the critical path have zero float because any delay will directly impact
the project's overall completion time. Activities not on the critical path may have float
and can be delayed without affecting the project’s final duration.
5. What is the purpose of the forward pass in CPM scheduling?
A. To determine the project’s finish date.
B. To calculate the float for each activity.
, C. To calculate the latest start and finish times.
D. To determine the earliest start and finish times for each activity.
Answer: D) To determine the earliest start and finish times for each activity.
Rationale:
The forward pass is used to calculate the earliest possible start and finish times for
each activity based on the project’s start date and dependencies.
6. 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.
7. In a PERT network, if an activity has an optimistic time of 5 days, a most likely
time of 8 days, and a pessimistic time of 11 days, what is the variance of this activity?
