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Business Environment Domain

Project Selection Methods PMP Practice Questions

Test yourself with 8 free, scenario-based PMP practice questions on project selection methods, drawn from the Business Environment domain of the exam and aligned to PMBOK 8. Work through each scenario before revealing the answer — every question includes an explanation of why the correct choice is right. For randomized, interactive practice across all topics, use the practice question tool.

Question 1 of 8

Your organization is evaluating two projects. Project Alpha has an NPV of $320,000 and requires an initial investment of $500,000. Project Beta has an NPV of $180,000 and requires an initial investment of $200,000. Both projects have the same risk profile. Which project should be selected and why?

  1. A.Project Alpha, because it has the higher absolute NPV of $320,000
  2. B.Project Alpha, because larger investments always yield more strategic value
  3. C.Project Beta, because it requires less capital and therefore carries less financial risk, making it the more conservative and risk-adjusted choice for capital preservation.
  4. D.Project Beta, because it has a higher NPV-to-investment ratio (0.90) compared to Alpha (0.64), indicating better capital efficiency.
Show answer and explanation

Correct answer: D

When capital is constrained and projects have similar risk profiles, the NPV-to-investment ratio (profitability index) is the better criterion. Beta's ratio is $180K / $200K = 0.90, while Alpha's is $320K / $500K = 0.64. Alpha has a higher absolute NPV but uses 2.5x more capital for only 1.78x more value. Larger investments do not automatically mean more strategic value. Risk reduction alone is not sufficient justification without the value ratio context.

Question 2 of 8

A project has the following cash flows: Year 0 investment: -$400,000; Year 1: $120,000; Year 2: $150,000; Year 3: $180,000; Year 4: $90,000. What is the payback period, and is this acceptable if the organization's maximum payback threshold is 3 years?

  1. A.2.72 years; acceptable because it is within the 3-year threshold
  2. B.3.33 years; not acceptable because it exceeds the 3-year threshold
  3. C.3.0 years exactly; acceptable because it meets the threshold
  4. D.2.44 years; acceptable because it is within the 3-year threshold
Show answer and explanation

Correct answer: A

Payback period: Year 1 cumulative = $120K (deficit: $280K). Year 2 cumulative = $270K (deficit: $130K). In Year 3 the remaining $130K is recovered from $180K cash flow: 130/180 = 0.72 years. Total payback = 2 + 0.72 = 2.72 years. Since 2.72 < 3.0, the project meets the organization's threshold and is acceptable. this option overstates the payback period. this option is too convenient and imprecise. this option understates the payback.

Question 3 of 8

Two projects are being evaluated. Project X has an IRR of 18% and Project Y has an IRR of 14%. The organization's cost of capital (hurdle rate) is 12%. Resources only allow one project to proceed. Which project should be selected?

  1. A.Project Y, because a 14% IRR is safer and closer to the hurdle rate
  2. B.Project X, because its IRR of 18% exceeds the hurdle rate by a greater margin, indicating stronger expected returns.
  3. C.Either project, because both exceed the hurdle rate and are equally valid choices
  4. D.Neither project should be selected; both IRRs exceed the hurdle rate only marginally, and the organization should hold capital for higher-return opportunities.
Show answer and explanation

Correct answer: B

IRR measures the expected rate of return from an investment. Both projects exceed the hurdle rate of 12%, making both financially viable. However, when only one can be selected, the project with the higher IRR (18% vs 14%) provides greater margin above the cost of capital and is preferred. Project Y's closeness to the hurdle rate is actually a weakness, not a strength. They are not equally valid when resources are constrained. The 20% threshold mentioned in is invented — hurdle rates are organization-specific.

Question 4 of 8

A project requires an initial investment of $250,000 and is expected to generate net benefits of $375,000 over its lifecycle. What is the Benefit-Cost Ratio (BCR), and how should it be interpreted?

  1. A.BCR = 0.67; the project destroys value and should be rejected
  2. B.BCR = 1.50; the project is marginally viable but only recommended if no alternatives exist
  3. C.BCR = 1.50; the project returns $1.50 in benefits for every $1.00 invested and should be accepted
  4. D.BCR = 125,000; the raw profit figure that determines acceptability
Show answer and explanation

Correct answer: C

BCR = Total Benefits / Total Costs = $375,000 / $250,000 = 1.50. A BCR greater than 1.0 means the project generates more value than it costs and should be accepted. BCR of 1.50 means every dollar invested returns $1.50 in benefits — a healthy return. this option inverts the calculation. this option misinterprets a BCR of 1.50 as marginal — it is actually a strong positive indicator. this option confuses BCR with net profit.

Question 5 of 8

Your organization uses a scoring model to select projects. A proposed project scores highly on ROI and strategic alignment but has a long payback period (4.5 years) and a moderate BCR of 1.2. Which TWO factors should the selection committee MOST carefully weigh before approving this project?

Select all that apply.

  1. A.Whether the BCR of 1.2 is sufficient given the long time horizon and associated uncertainty risk
  2. B.Whether the project manager prefers predictive or agile methodology
  3. C.Whether the project will require external contractors
  4. D.Whether the organization can sustain 4.5 years of capital commitment without liquidity impact
  5. E.Whether the project team has successfully delivered similar projects before
Show answer and explanation

Correct answers: A and D

A 4.5-year payback period raises two critical concerns: organizational liquidity and time-horizon risk. First, the organization must assess whether it can commit capital for that duration without financial strain. Second, a BCR of 1.2 represents thin returns, and when compounded over 4.5 years of uncertainty, the risk-adjusted value may be marginal. Team experience is relevant to execution but not to selection criteria. PM methodology preference is irrelevant to financial selection. Contractor use (E) may affect cost estimates but is not the primary selection concern.

Question 6 of 8

An organization is choosing between three projects. Project A has an NPV of -$50,000. Project B has an NPV of $0. Project C has an NPV of $175,000. The discount rate used in all calculations is the organization's cost of capital at 10%. Which project(s) should be selected?

  1. A.Project B, because breaking even means no financial risk
  2. B.Project A, because its negative NPV indicates lower projected costs, and organizations should prioritize projects with smaller financial commitments regardless of value creation.
  3. C.Projects B and C, because neither destroys value
  4. D.Project C, because it is the only project with a positive NPV, meaning it creates value above the cost of capital.
Show answer and explanation

Correct answer: D

NPV measures whether a project creates value above the organization's cost of capital. A positive NPV means the project returns more than the minimum required rate of return. Project C ($175,000 positive NPV) is the only project that definitively creates value. Project A has a negative NPV — it destroys value and should be rejected. Project B has zero NPV — it exactly meets the cost of capital with no surplus value creation. If resources are constrained, only Project C clears the bar. If resources allow, B might be reconsidered for strategic reasons, but financially, C is the clear selection.

Question 7 of 8

A project has the following projected cash flows: Year 0: -$600,000; Year 1: $200,000; Year 2: $250,000; Year 3: $300,000; Year 4: $150,000. Using a discount rate of 10%, what is the approximate NPV, and should the project be approved?

  1. A.NPV ≈ $300,000; approved — exceeds investment
  2. B.NPV ≈ -$50,000; rejected — the project destroys value at a 10% discount rate
  3. C.NPV ≈ $0; borderline — should be approved only if strategic alignment is strong
  4. D.NPV ≈ $148,900; approved — positive NPV indicates value creation above the cost of capital
Show answer and explanation

Correct answer: D

NPV calculation at 10%: PV(Year 1) = $200,000 / 1.10 = $181,818. PV(Year 2) = $250,000 / 1.21 = $206,612. PV(Year 3) = $300,000 / 1.331 = $225,394. PV(Year 4) = $150,000 / 1.4641 = $102,452. Sum of PVs = $716,276. NPV = $716,276 - $600,000 = $116,276. A positive NPV of approximately $116K-$149K (depending on rounding) confirms value creation above the cost of capital. The project should be approved. Negative NPV and near-zero NPV are mathematical errors in this scenario.

Question 8 of 8

Your organization uses a weighted scoring model to select projects. The model weighs Strategic Alignment (40%), Financial Return (35%), and Risk Profile (25%). Project A scores 8, 6, and 7 on these criteria respectively. Project B scores 6, 9, and 5. Which project has the higher weighted score, and by how much?

  1. A.Project A scores higher with a weighted score of 7.05 vs. Project B's 6.80
  2. B.Project B scores higher with a weighted score of 7.10 vs. Project A's 6.95
  3. C.Both projects score the same at 7.00
  4. D.Project A scores higher with a weighted score of 6.95 vs. Project B's 6.80
Show answer and explanation

Correct answer: A

Project A's weighted score is (8 x 0.40) + (6 x 0.35) + (7 x 0.25) = 7.05. Project B's weighted score is (6 x 0.40) + (9 x 0.35) + (5 x 0.25) = 6.80. Project A therefore scores higher by 0.25. The question tests whether the weighting, not just the raw scores, drives the decision.

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