Project Management Professional (PMP) — All Questions

A project manager wants to estimate an activity's duration using optimistic (O) = 6 days, most likely (M) = 12 days, and pessimistic (P) = 30 days. What is the PERT (triangular vs. beta) beta expected duration?

• a.12 days
• b.18 days
• c.16 days
• d.14 days✓

The beta (PERT) estimate is (O + 4M + P)/6 = (6 + 48 + 30)/6 = 84/6 = 14 days. This weighted average gives the most likely value four times the weight of the extremes, producing a more realistic single-point estimate than a simple average.

Using O = 6, M = 12, P = 30, what is the standard deviation of the activity duration (beta distribution)?

• a.4 days✓
• b.3 days
• c.6 days
• d.8 days

The beta standard deviation is (P - O)/6 = (30 - 6)/6 = 24/6 = 4 days. This measures estimate uncertainty; a wider range between optimistic and pessimistic values yields a larger standard deviation and more risk.

Halfway through a predictive project, the customer asks for a demo of partially completed work to reduce uncertainty. The PM realizes several stakeholders would benefit from earlier feedback. What should the PM consider?

• a.Canceling remaining planning to focus on demos
• b.Switching the entire project to Scrum immediately
• c.Refusing the demo because predictive projects are designed to deliver value only in a single handover at the very end
• d.Adding periodic review points or a hybrid increment to gather feedback earlier✓

Introducing periodic reviews or hybrid increments lets a largely predictive project gather feedback earlier without abandoning its structure. Refusing forgoes valuable learning, an abrupt full switch to Scrum is disruptive, and canceling planning removes needed control.

A risk event that was accepted has now occurred, and the project needs to respond. The team executes a pre-defined set of actions reserved for this situation. What is this called?

• a.A management reserve draw
• b.A risk avoidance action
• c.A workaround
• d.A contingency (fallback) plan✓

A contingency plan is a pre-defined response executed when an identified risk occurs, funded by contingency reserves. A workaround is an unplanned response to an unforeseen event, management reserves cover unknown-unknowns, and avoidance is a proactive pre-occurrence strategy.

An unforeseen problem with no planned response suddenly threatens a deliverable. The team must devise an unplanned reaction on the spot. This is best described as:

• a.A fallback plan
• b.A contingency plan
• c.A workaround✓
• d.A mitigation strategy

A workaround is an unplanned response to a problem or risk that was not previously identified or had no planned response. Contingency and fallback plans are prepared in advance, and mitigation is a proactive strategy applied before a risk occurs.

A project manager is deciding how to communicate a complex, sensitive issue that requires immediate two-way discussion with a remote stakeholder. Which communication method is most appropriate?

• a.Pull communication such as a posting on a shared portal
• b.A formal written report distributed later
• c.Interactive communication such as a video or phone call✓
• d.Push communication such as a detailed email

Complex or sensitive issues needing immediate feedback call for interactive communication, which enables real-time, two-way exchange. Push methods send information one way, pull methods require recipients to retrieve it, and neither supports the immediate dialogue the situation demands.

A project's cost baseline includes work package estimates plus contingency reserves. Which additional funding covers unidentified risks (unknown-unknowns) and is controlled by management, not the PM?

• a.Management reserve✓
• b.The control account budget
• c.Contingency reserve
• d.Cost of quality

Management reserve covers unknown-unknowns, sits outside the cost baseline, and requires management approval to access. Contingency reserve is inside the baseline for identified risks and is controlled by the PM; cost of quality and control accounts are different concepts entirely.

A team is transitioning from predictive to agile ways of working. The PM notices there is no single prioritized list of features driving the work. Which artifact should be established?

• a.A product backlog✓
• b.A Gantt chart
• c.A detailed WBS dictionary
• d.A responsibility assignment matrix

The product backlog is the single, ordered source of work in agile, prioritized by the product owner to maximize value. A Gantt chart and WBS dictionary belong to predictive planning, and a RAM assigns responsibilities rather than prioritizing deliverable value.

During execution, quality control finds that a process is producing outputs within specification but a data point falls outside the control limits on a control chart. What does this indicate?

• a.An assignable (special) cause may be present and should be investigated✓
• b.The measurement must be discarded as a recording error, because valid points can never fall beyond the control limits
• c.The process is stable and needs no action
• d.The specification limits should be widened

A point beyond the control limits signals a possible assignable (special) cause of variation that warrants investigation, even if it still meets customer specifications. Control limits reflect the process's natural variation, not the specification limits, so the two should not be conflated.

A control chart shows seven consecutive data points all falling on one side of the mean, though none exceeds the control limits. What should the PM conclude?

• a.The control limits are set incorrectly and must be recalculated
• b.The deliverables should be immediately rejected
• c.The rule of seven suggests a non-random trend that should be investigated✓
• d.The process is perfectly in control and needs no attention

The rule of seven states that seven or more consecutive points on one side of the mean indicate a non-random pattern worth investigating, even within control limits. It signals a potential systematic shift rather than proving the process is fine or that the chart itself is wrong.

A PM must select a delivery approach for a project where requirements are stable, well understood, and unlikely to change, and the customer wants a firm cost and date. Which approach fits best?

• a.A minimal-planning experimental approach
• b.Pure agile with a fluid scope
• c.Iterative prototyping only
• d.A predictive (plan-driven) approach with baselines✓

Stable, well-understood requirements plus a demand for firm cost and schedule favor a predictive approach with defined baselines. Agile and prototyping shine when requirements are uncertain, so they are a poor fit when scope is fixed and firm commitments are required.

The project sponsor asks the PM for a high-level cost estimate very early, before scope is detailed. Which estimate type and accuracy range is appropriate?

• a.A definitive estimate with -5% to +10% accuracy, appropriate this early even before the scope has been detailed
• b.A budget estimate that must be exact
• c.A bottom-up estimate for every work package
• d.A rough order of magnitude (ROM) estimate with roughly -25% to +75% accuracy✓

Early in a project, a rough order of magnitude estimate is appropriate, typically with a wide range around -25% to +75% as details are still unknown. Definitive and bottom-up estimates require detailed scope, which is not yet available at this stage.

During iteration planning, the team wants a shared understanding of when a backlog item is truly complete and shippable. Which agile artifact defines this?

• a.Definition of done✓
• b.Sprint goal
• c.Definition of ready
• d.Acceptance test plan

The definition of done is the team's shared, explicit checklist for when an increment is complete and potentially releasable. The definition of ready describes when an item is ready to be pulled into a sprint, and the sprint goal states the sprint's objective, not completion criteria.

A project has EV = $60,000, PV = $75,000, and AC = $50,000. Which statement correctly summarizes performance?

• a.Under budget and ahead of schedule, since both indices are above one and performance is favorable on cost and time
• b.Over budget and behind schedule
• c.On budget and on schedule
• d.Under budget (CPI 1.20) but behind schedule (SPI 0.80)✓

CPI = EV/AC = 60,000/50,000 = 1.20 (under budget) and SPI = EV/PV = 60,000/75,000 = 0.80 (behind schedule). The project earns more value per dollar than planned yet has completed less value than scheduled, so cost is favorable while schedule lags.

A PM wants to know how efficiently remaining work must be performed to meet the original budget (BAC). Which index answers this?

• a.SPI (schedule performance index)
• b.EAC (estimate at completion)
• c.TCPI (to-complete performance index)✓
• d.CPI (cost performance index)

The to-complete performance index (TCPI) measures the cost efficiency required on remaining work to achieve a target such as the BAC, calculated as (BAC-EV)/(BAC-AC). CPI and SPI describe past performance, and EAC forecasts total cost rather than required future efficiency.

Given BAC = $100,000, EV = $40,000, and AC = $45,000, what is the TCPI to complete on the original budget?

• a.0.92
• b.1.09✓
• c.1.13
• d.0.89

TCPI (to BAC) = (BAC - EV)/(BAC - AC) = (100,000 - 40,000)/(100,000 - 45,000) = 60,000/55,000 = 1.09. A TCPI above 1.0 means the remaining work must be performed more efficiently than to date to still hit the budget.

A project manager identifies that a supplier's late delivery could delay the project. To reduce the probability of this threat, the PM adds an earlier order date and a second qualified supplier. Which risk strategy is this?

• a.Exploit
• b.Transfer
• c.Accept
• d.Mitigate✓

Mitigation reduces the probability or impact of a threat through proactive action, such as ordering early and lining up a backup supplier. Acceptance takes no action, transfer shifts impact to a third party, and exploit is an opportunity (positive risk) strategy.

A positive risk (opportunity) has been identified: a new tool could significantly speed up delivery. The PM wants to ensure the opportunity is realized by making it certain to happen. Which strategy is this?

• a.Exploit✓
• b.Share
• c.Enhance
• d.Accept

Exploiting an opportunity means taking action to make it certain to occur, capturing its full benefit. Enhancing increases the probability or impact without guaranteeing it, sharing allocates ownership to a partner best able to capture it, and accepting takes no proactive action.

During planning, the PM wants to ensure every requirement can be traced from its origin through deliverables to verify none is missed. Which tool supports this?

• a.A risk breakdown structure
• b.A stakeholder engagement matrix
• c.A responsibility assignment matrix
• d.A requirements traceability matrix✓

The requirements traceability matrix links each requirement to its source and to the deliverables and tests that satisfy it, ensuring nothing is dropped. A RAM assigns responsibilities, an RBS categorizes risks, and a stakeholder engagement matrix tracks engagement levels, none of which trace requirements.

In an agile project, the product owner is frequently unavailable to clarify backlog items, causing the team to guess at requirements. What should the PM (as agile coach) do?

• a.Freeze the backlog so no clarification is needed
• b.Escalate to have the product owner replaced immediately
• c.Have the developers make all product and priority decisions themselves whenever the product owner is unavailable
• d.Work with the product owner to ensure regular availability and clear backlog refinement✓

A capable, available product owner is essential; coaching and arranging regular availability and refinement sessions resolves the root cause. Letting developers decide product priorities, freezing the backlog, or jumping straight to replacement bypasses collaboration and the product owner's accountability for value.

A deliverable has completed quality control inspection and is verified as meeting requirements. What is the next step to formalize customer acceptance?

• a.Update the risk register only
• b.Move directly to project closeout
• c.Validate scope by obtaining formal customer sign-off on the deliverable✓
• d.Begin the next deliverable immediately without obtaining acceptance, since inspection already confirmed conformance

After quality control verifies a deliverable, validate scope obtains the customer's formal acceptance and sign-off. Quality control confirms correctness (verified deliverables) while validate scope confirms acceptance (accepted deliverables); skipping sign-off risks disputes over completion.

A project manager wants to prioritize which few defect categories cause most of the quality problems, so improvement effort targets the biggest contributors. Which tool is best?

• a.A Pareto chart✓
• b.A run chart
• c.A flowchart
• d.A scatter diagram

A Pareto chart ranks causes by frequency and reflects the 80/20 principle, spotlighting the vital few categories that drive most defects. Scatter diagrams show relationships between variables, flowcharts map process steps, and run charts show trends over time.

Midway through a hybrid project, the predictive hardware track and the agile software track are drifting out of sync at integration. What governance mechanism best keeps them aligned?

• a.Convert everything to a single predictive plan
• b.Stop all software iterations until the hardware is completely finished so the two tracks never have to integrate
• c.Let each track set its own unrelated milestones
• d.Establish shared integration milestones and a coordinated cadence across both tracks✓

Hybrid projects stay aligned by defining shared integration points and coordinating the cadence of both tracks so evolving software meets fixed hardware milestones. Independent milestones guarantee drift, halting software wastes capacity, and forcing full predictive planning discards the software track's needed agility.

A project manager is closing a project. A key vendor contract is still open with a minor deliverable outstanding. What must the PM ensure before administrative closure?

• a.Pay the vendor in full immediately for the entire contract, regardless of the minor deliverable still outstanding under it
• b.Skip contract closure since the project is ending anyway
• c.Transfer the open contract to the operations team to finish later
• d.Complete procurement closure, confirming all contract terms are satisfied and formally closing the contract✓

Contracts must be formally closed by confirming all terms are met and documenting closure before the project's administrative closure. Ignoring the open contract, paying without completion, or dumping it on operations leaves unresolved obligations and legal exposure.

At project closeout, the PM wants to capture what went well and what could improve so future projects benefit. What should be documented?

• a.Lessons learned and organizational process asset updates✓
• b.Only the final financial statement and remaining budget, which summarize how the project's money was ultimately spent
• c.The original charter, unchanged
• d.A list of team members to reassign

Capturing lessons learned and updating organizational process assets preserves knowledge so future projects improve. A financial statement, staffing list, or the original charter alone do not transfer the experiential learning that closeout is meant to institutionalize.

A schedule shows Activity X with early start (ES) = day 5, late start (LS) = day 9. What is Activity X's total float?

• a.5 days
• b.9 days
• c.4 days✓
• d.0 days

Total float = LS - ES (or LF - EF) = 9 - 5 = 4 days, the time the activity can slip without delaying the project finish. A float greater than zero means the activity is not on the critical path.

A project has three parallel paths of 20, 18, and 22 days. Which path is critical, and what is the project's shortest possible duration?

• a.The 20-day path; 20 days
• b.All paths; 60 days
• c.The 18-day path; 18 days
• d.The 22-day path; 22 days✓

The critical path is the longest path through the network, so the 22-day path is critical and the project cannot finish sooner than 22 days. The shorter paths have float, and durations are not summed across parallel paths.

During execution, a team member reports that an activity on the critical path will take three days longer than planned. What is the immediate impact if no action is taken?

• a.The project end date slips by three days✓
• b.The activity becomes non-critical
• c.Only the cost baseline changes, not the schedule
• d.No impact because critical activities have float

Critical path activities have zero float, so any delay to one directly extends the project finish date by the same amount, here three days. Because there is no float to absorb the delay, the end date slips unless the PM takes compression or other corrective action.

A project manager needs to sequence activities and shows that Activity B cannot start until Activity A finishes. What type of dependency relationship is this?

• a.Finish-to-finish (FF)
• b.Start-to-finish (SF)
• c.Finish-to-start (FS)✓
• d.Start-to-start (SS)

A finish-to-start relationship means the successor (B) cannot start until the predecessor (A) finishes, the most common dependency type. Start-to-start, finish-to-finish, and start-to-finish define other timing relationships that do not match this description.

A regulatory requirement dictates that testing cannot begin until an inspection is complete. This is best classified as which kind of dependency?

• a.Discretionary dependency
• b.External dependency
• c.Mandatory dependency✓
• d.Internal resource dependency

A mandatory dependency (hard logic) is inherent in the nature of the work or required by law or contract, such as a legally required inspection before testing. Discretionary dependencies reflect preferred practice, and external dependencies involve non-project parties, neither of which is a legal mandate.

A PM decides, based on best practice rather than any hard constraint, to complete all design reviews before starting construction, even though some overlap is technically possible. This is an example of which dependency?

• a.Mandatory dependency
• b.Regulatory dependency
• c.Discretionary dependency✓
• d.External dependency

A discretionary dependency (soft logic) is based on preferred practices or experience rather than a hard requirement, and it can be adjusted for fast tracking. Mandatory and regulatory dependencies are required by the work or law, and external dependencies involve outside parties.

During a sprint, a stakeholder insists on adding a new high-priority item into the current iteration, which is already committed. What should the PM or Scrum Master advise?

• a.Immediately add it and drop whatever is convenient
• b.Protect the sprint goal; route the item to the backlog for the product owner to prioritize for a future sprint✓
• c.Let the stakeholder hand the new high-priority item directly to a developer so it gets finished within the current sprint's remaining capacity
• d.Extend the sprint to fit the new item

The sprint goal and commitment are protected; new work goes to the product backlog for the product owner to prioritize, typically for the next sprint. Injecting work mid-sprint, extending the sprint, or bypassing the product owner breaks the cadence and undermines predictability.

A project manager wants to visualize the flow of work and limit how much is in progress at once to improve throughput and expose bottlenecks. Which agile approach is most suitable?

• a.A fixed-length Scrum sprint
• b.A Gantt-based predictive schedule
• c.A phase-gate governance model
• d.Kanban with WIP limits✓

Kanban visualizes flow on a board and uses work-in-progress limits to expose bottlenecks and improve throughput. Scrum organizes work into fixed iterations rather than continuous flow, and Gantt charts and phase gates are predictive tools, not flow-based systems.

A project's stakeholders are numerous and their information needs vary widely. What should the PM develop to ensure the right information reaches the right people at the right time?

• a.A procurement statement of work
• b.A single mass email distribution list
• c.A communications management plan✓
• d.A risk management plan

A communications management plan defines what information is needed, by whom, when, in what format, and through which method, matching messages to stakeholder needs. A mass email ignores tailoring, and risk and procurement documents address different knowledge areas.

During monitoring, actual results diverge from the plan and the PM issues a corrective action. Where should this corrective action be authorized and tracked?

• a.Through integrated change control, as an approved change request✓
• b.In the lessons learned register at closeout, since corrective actions are captured for future projects rather than now
• c.Only in the PM's personal notes
• d.By verbally telling the team to fix it

Corrective actions, preventive actions, and defect repairs are change requests processed and authorized through integrated change control. Informal notes or verbal instructions lack traceability, and the lessons learned register documents knowledge rather than authorizing action.

A project manager is estimating costs and uses the actual cost of a similar past project, adjusted for size and complexity, to estimate the current one. Which estimating technique is this?

• a.Bottom-up estimating
• b.Three-point estimating
• c.Parametric estimating
• d.Analogous estimating✓

Analogous estimating uses historical data from a similar prior project, adjusted for differences, and is quick but less accurate. Bottom-up sums detailed work packages, parametric uses statistical relationships per unit, and three-point uses optimistic/most likely/pessimistic values.

A PM estimates cost by multiplying a known rate ($500 per square meter) by the quantity of work (2,000 square meters). Which estimating technique is being used?

• a.Expert judgment only
• b.Analogous estimating
• c.Reserve analysis
• d.Parametric estimating✓

Parametric estimating multiplies a statistical unit rate by the quantity of work, producing scalable estimates when reliable per-unit data exists. Analogous estimating relies on a whole prior project, expert judgment is a qualitative input, and reserve analysis addresses contingency.

A PM wants the most accurate cost estimate by estimating each work package individually and aggregating them. Which technique provides this, and at what trade-off?

• a.Parametric estimating; scalable but rate-dependent
• b.Analogous estimating; fast but least accurate
• c.Rough order of magnitude; early but very imprecise
• d.Bottom-up estimating; most accurate but time-consuming✓

Bottom-up estimating aggregates detailed estimates of each work package, yielding the highest accuracy at the cost of significant time and effort. Analogous and ROM estimates are faster but less precise, and parametric depends on the quality of unit rates.

A project manager notices scope, schedule, and cost changes are being requested informally and applied without records, causing confusion. What should be established?

• a.A formal change control system with a change log and change control board✓
• b.A stricter organizational policy of rejecting all incoming changes so the approved baselines are never disturbed at all
• c.A rule that only the sponsor can request changes
• d.A freeze on all communication about changes

A formal change control system with a documented change log and a change control board ensures changes are evaluated, decided, and recorded consistently. Blanket rejection, limiting who can request changes, or freezing communication do not provide the structured governance the situation lacks.

During qualitative risk analysis, the PM rates each identified risk by probability and impact to prioritize them. Which tool organizes this prioritization?

• a.A probability and impact matrix✓
• b.A sensitivity (tornado) diagram
• c.A Monte Carlo simulation
• d.A decision tree

Qualitative risk analysis uses a probability and impact matrix to score and prioritize risks by combining likelihood and consequence. Monte Carlo simulation, decision trees, and tornado diagrams are quantitative techniques that model numerical outcomes, not the qualitative prioritization step.

A PM must choose between two options and models outcomes using probabilities and monetary values to compute expected monetary value. Which quantitative tool is being used?

• a.A fishbone diagram
• b.An affinity diagram
• c.A decision tree analysis✓
• d.A probability and impact matrix

Decision tree analysis computes expected monetary value by weighting each outcome's value by its probability, supporting choices under uncertainty. A probability and impact matrix is qualitative, while fishbone and affinity diagrams serve root-cause and idea-grouping purposes, not EMV decisions.

A risk has a 30% probability of causing a $50,000 loss. What is the expected monetary value (EMV) of this threat?

• a.-$50,000
• b.$50,000
• c.-$15,000✓
• d.$15,000

EMV = probability x impact = 0.30 x (-$50,000) = -$15,000, expressed as negative because it is a threat (loss). EMV combines likelihood and consequence into a single expected value used to compare and prioritize risks.

A project manager wants to model overall project cost and schedule uncertainty by running thousands of simulations across ranges of activity estimates. Which technique is appropriate?

• a.Expert judgment
• b.Analogous estimating
• c.Pareto analysis
• d.Monte Carlo simulation✓

Monte Carlo simulation runs many iterations over probability distributions of estimates to model the range and likelihood of overall cost and schedule outcomes. Expert judgment and analogous estimating are single-point or qualitative, and Pareto analysis ranks defect causes, not uncertainty.

A stakeholder who was supportive has become neutral because they feel uninformed. The engagement plan shows they should be 'supportive.' What should the PM do?

• a.Accept their neutral stance as final
• b.Analyze the gap and increase tailored, relevant communication to re-engage them✓
• c.Reduce communication with them to avoid bothering a stakeholder who has already drifted to a neutral position
• d.Remove them from the stakeholder register

A gap between current and desired engagement calls for analyzing the cause and adjusting communication to move the stakeholder back toward support. Removing them, accepting the gap, or reducing communication ignores the disengagement that the missing information caused.

The team completed a deliverable, but during validate scope the customer refuses to accept it, citing unmet requirements. What should the PM do first?

• a.Insist the customer accept it as delivered
• b.Immediately rebuild the entire deliverable from scratch without first analyzing why the customer rejected it at all
• c.Escalate to legal for a contract dispute
• d.Document the specific reasons for non-acceptance and process needed changes through change control✓

When a deliverable is rejected, the PM documents the specific reasons and routes any resulting rework through change control to correct it. Insisting on acceptance ignores valid concerns, rebuilding without analysis wastes effort, and escalating to legal is premature before understanding the gap.

During planning, the PM decomposes deliverables into progressively smaller components until reaching the level where cost and duration can be reliably estimated. What are these lowest-level components called?

• a.Milestones
• b.Control accounts
• c.Work packages✓
• d.Activities

Work packages are the lowest level of the WBS, where cost and duration can be reliably estimated and managed. Control accounts are higher management points, milestones mark significant events with zero duration, and activities are the scheduled actions derived from work packages.

A PM needs to define acceptance criteria, deliverables, exclusions, assumptions, and constraints for the project's work. Which document captures these?

• a.The project charter
• b.The communications plan
• c.The stakeholder register
• d.The project scope statement✓

The project scope statement documents the deliverables, acceptance criteria, exclusions, assumptions, and constraints that define the project and product scope. The charter authorizes the project at a high level, while the communications plan and stakeholder register serve different knowledge areas.

An agile team's velocity over the last three sprints was 24, 26, and 25 points. About 150 points of backlog remain. Roughly how many more sprints are needed?

• a.Four sprints
• b.Two sprints
• c.Six sprints✓
• d.Ten sprints

Average velocity is (24+26+25)/3 = 25 points per sprint, so 150 remaining points divided by 25 equals about 6 sprints. Using empirical average velocity provides a realistic forecast of the remaining timeline for release planning.

A project manager wants to hold a short daily event where the development team synchronizes work and surfaces impediments. Which event is this, and how long should it be?

• a.The daily standup, time-boxed to about 15 minutes✓
• b.Backlog refinement, held every morning for 30 minutes
• c.The sprint review, time-boxed to a full day
• d.The retrospective, held daily for an hour

The daily standup is a brief, time-boxed (about 15-minute) event for the team to synchronize and raise impediments. The sprint review and retrospective occur once per sprint, and backlog refinement is an ongoing preparation activity, not a daily synchronization meeting.

A PM is selecting a procurement approach and wants the seller to have a strong incentive to control costs while sharing savings and overruns per an agreed ratio, within a price ceiling. Which contract type fits?

• a.Time-and-materials (T&M)
• b.Firm-fixed-price (FFP)
• c.Cost-plus-fixed-fee (CPFF)
• d.Fixed-price-incentive-fee (FPIF)✓

Fixed-price-incentive-fee sets a ceiling and shares cost savings or overruns between buyer and seller by a formula, incentivizing cost control. FFP has no sharing formula, CPFF reimburses costs plus a fixed fee, and T&M is open-ended for undefined scope.