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Section 1: Project Planning & Scheduling (CPM, PERT, Resource Loading)
Q1: In Critical Path Method scheduling, total float represents which of the following?
A. The sum of all activity durations divided by the number of critical activities
B. The mandatory buffer time added to every non-critical activity by default
C. The amount of time an activity can be delayed without affecting the project
completion date [CORRECT]
D. The difference between the early finish and the late start of an activity
Correct Answer: C
Rationale: The best answer is C because total float is the scheduling cushion available
to an activity before it begins to push out the overall project finish date, which is a core
concept we cover when doing forward and backward passes in CM 4221.
Q2: Which formula correctly calculates the expected activity duration in a PERT
analysis?
A. (Optimistic + Pessimistic + Most Likely) ÷ 3
B. (Optimistic + 4 × Most Likely + Pessimistic) ÷ 6 [CORRECT]
C. (Optimistic × Most Likely × Pessimistic)^(1/3)
D. (Optimistic + Pessimistic) ÷ 2 + Most Likely
Correct Answer: B
Rationale: This choice is correct because the PERT weighted average gives four times
the weight to the most likely duration, which matches the standard probability approach
we use in class for three-point estimating.
Q3: The primary purpose of a Work Breakdown Structure is to:
,A. Assign specific crew members to each construction task based on availability
B. Calculate the critical path for the entire project network automatically
C. Decompose the project scope into manageable, hierarchical work packages
[CORRECT]
D. Determine the total project budget using only historical cost data
Correct Answer: C
Rationale: This aligns with the CM 4221 course coverage of scope management, where
the WBS breaks the job down into logical work packages so we can plan, estimate, and
control each piece individually.
Q4: A CM 4221 student is analyzing a project activity with an optimistic time of 4 days, a
most likely time of 7 days, and a pessimistic time of 16 days. What is the expected
duration and variance for this activity?
A. Expected = 7.0 days; Variance = 4.0
B. Expected = 8.0 days; Variance = 2.0
C. Expected = 8.0 days; Variance = 4.0 [CORRECT]
D. Expected = 7.5 days; Variance = 3.0
Correct Answer: C
Rationale: This matches the PERT formulas we drill in scheduling lab: expected time is
(4 + 28 + 16) ÷ 6 = 8 days, and variance is [(16 − 4) ÷ 6]^2 = 4.
Q5: A project has a non-critical activity with an early start of day 10, late start of day 14,
early finish of day 18, and late finish of day 22. What is the total float for this activity?
A. 4 days [CORRECT]
B. 2 days
C. 8 days
D. 12 days
Correct Answer: A
Rationale: The best answer is 4 days because total float is simply late start minus early
start (14 − 10 = 4), or late finish minus early finish (22 − 18 = 4), giving the activity that
much scheduling flexibility.
Q6: During a forward pass, an activity has two predecessors. Predecessor A finishes on
day 12, and Predecessor B finishes on day 15. What is the early start of this activity?
A. Day 12
B. Day 15 [CORRECT]
, C. Day 13
D. Day 27
Correct Answer: B
Rationale: This choice is correct because construction management principles state
that the early start of a successor activity is driven by the latest finishing predecessor,
so you take the maximum early finish, which is day 15.
Q7: A contractor is resource-loading a schedule and finds that three activities requiring
the same crane crew all overlap during week 3, but only one crane crew is available. The
activities each have two weeks of total float. Which is the best immediate action?
A. Rent an additional crane at premium rates regardless of cost
B. Shift the activities within their float to level the resource demand [CORRECT]
C. Crash all three activities by adding overtime to every crew
D. Submit a change order for a delayed completion date
Correct Answer: B
Rationale: This aligns with the 2026/2027 industry best practice in which resource
leveling first looks at adjusting activities inside their available float before spending
money on extra equipment or crashing the schedule.
Q8: A project baseline shows structural steel delivery at the end of week 8, with steel
erection starting at the beginning of week 10 after a 5-day inspection and staging
period. If delivery is delayed to the end of week 9, and the inspection period cannot be
compressed, when does steel erection now start?
A. Beginning of week 10
B. Beginning of week 11 [CORRECT]
C. End of week 9
D. Beginning of week 12
Correct Answer: B
Rationale: The best answer is beginning of week 11 because the 5-day inspection hold
pushes the start past the delayed delivery; you cannot skip the required staging time, so
the slip carries through.
Q9: An activity on the critical path has a duration of 5 days. If the project manager
crashes this activity by 2 days at a direct cost of $3,000, and the project indirect costs
are $1,500 per day, what is the net impact on project cost?
A. $3,000 increase