50 PMP Exam Formula-Based Questions (PMBOK 7th Edition)

Hey guys, today we are going to go through 50 formula-based questions for the PMP exam. It is the world's leading project management certification. You'll encounter a few questions on your exam that involve some math, and this tutorial will help you prepare for them. Before we start, please make sure you like and subscribe. Okay, let's dive in. Question 1: You are managing a project with the following activities and their respective durations. Activity A, 4 days. Activity B, 6 days. Activity C, 3 days, depends on Activity A. Activity D, 5 days, depends on Activity B. Activity E, 2 days, depends on Activity A and Activity B. Activity F, 4 days depends on Activity C and Activity D. What is the duration of the critical path? A, 14 days. B, 15 days. C, 16 days. D, 17 days. Answer: B, 15 days. Question 2: A project has an earned value, EV, of $120,000 and an actual cost, AC, of $130,000. What is the cost performance index, CPI? A, 0.92. B, 0.85. C, 1.08. D, 1.20. Answer: 0.92. Question 3. You are analyzing a project with an earned value, EV, of $150,000 and a planned value, PV, of $180,000. What is the schedule variance, SV? A, $30,000. B, $30,000. C, $50,000. D, $50,000. Answer: negative $30,000. Question 4: A project has a budget at completion of $500,000. The project is 40% complete and the actual cost is $250,000. What is the earned value? A, $200,000. B, $250,000. C, $300,000. D, $150,000. Answer, $200,000. Question 5. You are managing a project with the following activities and their respective durations. Activity A, 5 days. Activity B, 3 days. Activity C, 4 days, depends on Activity A. Activity D, 2 days, depends on Activity B. Activity E, 6 days, depends on Activity C and Activity D. What is the duration of the critical path? A, 12 days. B, 14 days. C, 15 days. D, 16 days. Answer: C, 15 days. Question 6. You are managing a project with the following activities and their respective durations. Activity A, 4 days. Activity B, 6 days, depends on Activity A. Activity C, 5 days depends on Activity A. Activity D, 3 days depends on Activity B and Activity C. What is the duration of the critical path? A, 13 days. B, 14 days. C, 15 days. D, 16 days. Answer, B, 13 days. Question 7. You are managing a project with the following activities and their respective durations. Activity A, 6 days. Activity B, 4 days. Activity C, 5 days, depends on Activity A. Activity D, 3 days, depends on Activity B. Activity E, 7 days, depends on Activity C and Activity D. Activity F, 2 days, depends on Activity E. What is the duration of the critical path? A, 18 days. B, 19 days. C, 20 days. D, 21 days. Answer, C, 20 days. Question 8. You are managing a project with the following activities and their respective durations. Activity A, 7 days. Activity B, 8 days, depends on Activity A. Activity C, 6 days, depends on Activity A. Activity D, 4 days, depends on Activity B. Activity E, 5 days, depends on Activity C. Activity F, 3 days, depends on Activity D and Activity E. What is the duration of the critical path? A, 18 days. B, 19 days. C, 20 days. D, 22 days. Answer, D, 22 days. Question 9. A project with a budget at completion of $800,000 has an earned value of $400,000 and a cost performance index of Z8. What is the estimate at completion if the CPI remains the same? A, $1,000,000. B, $800,000. C, $900,000. D, $1,200,000. Answer: A, $1,000. Question 10. A project has a total of 6 team members, including the project manager. How many communication channels are there in the project? A, 15. B, 10. C, 21. D, 30. Answer: 15. Question 11. A project has an optimistic duration of 4 weeks, a pessimistic duration of 10 weeks, and a most likely duration of 7 weeks. Using the PERT beta distribution formula, what is the expected activity duration? 6.5 weeks. 7 weeks. 7.5 weeks. 8 weeks. Answer: C, 7.5 weeks. Question 12. You are managing a project with an earned value of $300,000 and an actual cost of $320,000. What is the cost variance? A negative $20,000. B, $20,000. C, negative $10,000. D, $10,000. Answer: negative $20,000. Question 13: A project has a planned value of $250,000 and an earned value of $200,000. What is the schedule variance? A negative $50,000. B, $50,000. C, negative $30,000. D, $30,000. Answer: negative $50,000. Question 14. You are managing a project with a budget at completion of $1,200,000. The project is 70% complete And the actual cost is $900,000. What is the to complete performance index based on the B? A. C. A zero ninety five. B one zero. C one zero five. D one twenty. Answer D one point two. Question 15. A project has an earned value of $90,000 and an actual cost of $100,000. What is the cost performance index? A, 0.9. B, 0.95. C, 1. D, 1.1. Answer, 0.9. Question 16. A project has a budget at completion of $600,000. The project is 45% complete and the actual cost is $280,000. What is the earned value? A, $270,000. B, $290,000. C, $250,000. D, $260,000. Answer, $270,000. Question 17. You are managing a project with a budget at completion of $2,500,000. The project is planned to last 12 months. After 8 months, the project is 60% complete with an actual cost of $1,800,000. What is the estimate at completion using the formula that assumes the remaining work will be performed at the same cost performance index? A, $3,000,000. B, $2,800,000. C, $2,500,000. D, $2,400,000. Answer, $3,000,000. Question 18. You are managing a project with a budget at completion of $3,000,000. The project is planned to last 18 months. After 12 months, the project is 60% complete with an actual cost of $2,200,000. What is the estimate at completion using the formula that assumes the remaining work will be performed at the budgeted rate? A, $3,400,000. B, $300,000. C, $600,000. D, $400,000. Answer, 3, $400,000. Question 19. A project manager needs to calculate the number of communication channels in a project with 8 team members, including the project manager. What is the number of communication channels? A, 28. B, 36. C, 56. D, 45. Answer, 28. Question 20. You are managing a project with a budget at completion of $1,500,000. The project has an earned value of $900,000 and an Actual cost of $1,000,000. What is the cost performance index and the schedule performance index if the planned value is $1,200,000? SC: PI equals 0.90. SPI equals 0.75. BC: PI equals 0.90. SPI equals 0.80. C, C, P, I equals 0.85, S, P, I equals 0.75. D, C, P, I equals 0.85, S, P, I equals 0.80. Answer: C, P, I equals 0.9, and S P I equals zero point seven five. Question twenty one: A project has a budget at completion of five hundred thousand dollars. The project is sixty percent complete and has an actual cost of three hundred thirty thousand dollars. What is the planned value? A three hundred thousand dollars. B two hundred fifty thousand dollars. C two hundred eighty thousand dollars. D three hundred Answer, $300,000. Question 22. A project has an earned value of $200,000 and a planned value of $220,000. What is the schedule performance index? 0.91. 0.95. 1.1. 0.85. Answer: 0.91. Question 23. A project has an earned value of $150,000 and an actual cost of $160,000. The budget at Completion is $300,000. What is the estimate at completion using the CPI approach? A, $320,000. B, $300,000. C, $280,000. D, $360,000. Answer, $320,000. Question 24. A project has a budget at completion of $750,000. The project is 50% complete and has an actual cost of $400,000. What is the cost performance index? A, 0.9. B, 0.94. C, 0.85. D, 0.75. Answer, B, 0.94. Question 25. You are managing a project with a budget at completion of $1,000,000. The project is 40% complete with an actual cost of $450,000. What is the cost performance index? A. 0.8. B. 0.85. C. 0.89. D. 0.92. Answer: C. 0.89. Question 26. A project has an optimistic duration of 2 weeks, a pessimistic duration of 8 weeks, The most likely duration of five weeks. What is the expected activity duration using the PERT beta distribution formula? A four point five weeks. B five weeks. C five point three three weeks. D six weeks. Answer C five point three three weeks. Question 27. A project has an earned value of $180,000 and an actual cost of $200,000. What is the cost variance? A, negative $20,000. B, $20,000. C, negative $10,000. D, $10,000. Answer, negative $20,000. Question 28. A project has a budget at completion of $600,000 and an actual cost of $400,000. The earned value is $350,000. What is the schedule variance? A negative fifty thousand dollars. B fifty thousand dollars. C negative thirty thousand dollars. D thirty thousand dollars. Answer negative fifty thousand dollars. Question twenty nine. A project has a budget at completion of nine hundred thousand dollars. The project is forty percent complete and has an actual cost. Of $370,000, what is the earned value? A, $360,000. B, $370,000. C, $380,000. D, $390,000. Answer, $360,000. Question 30. A project has a budget at completion of $200,000. The project is 50% complete with an actual cost of $100,000. What is the cost variance? A, negative $200,000. B, negative $100,000. C, $100,000. D, $200,000. Answer: negative $200,000. Question 31. You are managing a construction project with a total budget of $1,000,000. The project is planned to be completed in 12 months. After 6 months, you find that the project is 55% complete. complete and the actual cost incurred is $600,000. What is the Cost Performance Index and the Schedule Performance Index? A CPI equals 0.92 and SPI equals 0.91. B CPI equals 0.92 and SPI equals 1.1. CCPI equals 0.91 and SPI equals 1. DCPI equals 1.1 and SPI equals 0.91. Answer: BCPI equals 0.92 and SPI equals 0.91. P I equals 1.1. Question 32: A project has an optimistic duration of four weeks, a pessimistic duration of ten weeks, and a most likely duration of six weeks. What is the expected activity duration E using the PERT beta distribution formula? Six weeks. 6 weeks. 6.67 weeks. 7 weeks. 8 weeks. Answer: B, 6.67 weeks. Question 33. You are managing a construction project with a budget at completion of $900,000. The project involves building a new facility and is expected to take 10 months After 5 months, the project is 45% complete, but due to unforeseen circumstances, the actual cost incurred is $500,000. What is the cost performance index, and what does this indicate about the project's cost efficiency? A 0.81, the project is over budget. B 0.85, the project is on budget. C 0.9, the project is slightly over budget. D, 0.95, the project is under budget. Answer, 0.81, the project is over budget. Question 34. You are managing a software development project with a budget at completion of $1,200,000. The project is planned to be completed in 12 months. After 7 months, the project is 55% complete with an actual cost of $750,000. What is the schedule performance index and what does this indicate about the project's schedule performance? A. 0.79, the project is behind schedule. B. 0.85, the project is slightly behind schedule. C. 0.94, the project is slightly behind schedule. D, when the project is on schedule. Answer C, 0.9, for the project is slightly behind schedule. Question 35. A project has a budget at completion of $1,500,000. The project is 40% complete and has an actual cost of $700,000. What is the cost performance index? A, 0.85. B, 0.86. C, 0.9. D, 0.95. Answer, B, 0.86. Answer, B, 0.86. Question 36. You are managing a project with a budget at completion of $2,500,000. The project is 60% complete with an actual cost of $1,700,000. What is the estimate at completion if the remaining work is expected to be performed at the budgeted rate? A, $500,000. $700,000. $800,000. $3,000,000. Answer: B, $700,000. Question 37. You are managing a construction project with a budget at completion of $3,000,000. The project has an earned value of $1,800,000 and an actual cost of $2,000,000. What is the cost performance index, and what does it indicate about the project's cost efficiency? A, 0.9, the project is over budget. B, 0.95, the project is slightly over budget. C, 1, the project is on budget. D, 1.1, the project is under budget. Answer: 0.9. The project is over budget. Question 38: You are managing an infrastructure project with a budget at completion of $1,000,000. The project is 70% complete with an actual cost of $750,000. What is the cost performance index, and what does it indicate about the project's cost efficiency? A) 0.85, the project is over budget. B) 0.93, the project is over budget. C) 1, the project is on budget. D) 1.1, the project is under budget. Answer B, 0.93. The project is over budget. Question 39. You are managing a healthcare facility project with a budget at completion of $2,000,000. The project is 40% complete with an actual cost of $900,000. What is the estimate to complete if the remaining work is expected to be performed at the budgeted rate? A, 1/100th $100,000. $200,000. $300,000. $400,000. Answer: B, $200,000. Question 40. You are managing a software development project with a budget at completion of $800,000. The project is 25% complete with an actual cost of $250,000. What is the schedule performance index and what does it indicate about the project's schedule performance? A 0.75, the project is behind schedule. B 1, the project is on schedule. C 1.25, the project is ahead of schedule. D 0.9, the project is slightly behind schedule. Answer B1, the project is on schedule. Question 41. You are managing an infrastructure project with a budget at completion of $1,500,000. The project is 50% complete with an actual cost of $900,000. What is the cost performance index, and what does it indicate about the project's cost efficiency? A, 0.8, the project is over budget. B, 0.83, the project is over budget. C, 0.9, the project is slightly over budget. D, 1, the project is on budget. Answer B, 0.83. The project is over budget. Question 42. You are managing a project with a budget at completion of $2,000,000. The project is 40% complete with an actual cost of $900,000. You need to determine the estimate at completion. If the future work is expected to be performed at the budgeted rate, what is the EAC? A. To $100,000. B. To $200,000. C. To $300,000. D. To $400,000. Answer: To $100,000. Question 43. You are managing a construction project with a budget at completion of $1,500,000. The project is planned to be completed in 10 months. After 6 months, the project is 50% complete with an actual cost of $800,000. What is the schedule performance index 0.75. 0.8. 0.85. 0.83. Answer: D, 0.83. Question 44. You are managing a product development project with a budget at completion of $1,800,000. The project is planned to be completed in 10 months. After 5 months, the project is 60% complete with an actual cost of $1,200,000. What is the estimate at completion if the remaining work will be performed at the same cost performance index? $2,000,000. $200,000. $400,000. $500,000. Answer: $2,000. Question 45. You are managing a product development project with the following activities and their respective durations. Activity A, 4 days. Activity B, 6 days. Activity C, 3 days depends on Activity A. Activity D, 5 days depends on Activity B. Activity E, 2 days depends on Activity A and Activity B. Activity F, 4 days depends on Activity C and Activity D. What is the duration of the critical path? A, 14 days. B, 15 days. C, 16 days. D, 17 days. Answer, B, 15 days. Question 46. You are managing a construction project and need to determine the total contract price. The contract includes a fixed fee of $50,000 and the actual Actual costs incurred are $200,000. The contract also includes a cost-plus percentage fee of 10%. What is the total contract price? $250,000. $270,000. $275,000. $300,000. Answer B, $270,000. Question 47. You are managing a project with a time and materials contract. The contract specifies a labor rate of $100 per hour. Your project team worked 500 hours. Additionally, you incurred $5,000 in material costs. What is the total amount payable under this contract? A, $50,000. B, $55,000. C, $60,000. D, $65,000. Answer: B, $55,000. You are managing a project with a fixed-price contract of $500,000. The contract includes an incentive fee of $20,000 if the project is completed 2 months ahead of schedule. The project was completed 3 months ahead of schedule. What is the total contract price? A, $500,000. B, $520,000. C, $540,000. D, $560,000. Answer, B, $520,000. Question 49. You are managing a construction project with a cost-plus incentive fee contract. The target cost The target fee is $100,000, and the actual cost incurred is $900,000. The sharing ratio is 80/20. What is the total contract price? A, $1,000,000. B, $180,000. C, $120,000. D, $120,000. Answer D, $120,000. Question 50. You are managing an engineering project with a cost-plus incentive fee contract. The target cost is $900,000, the target fee is $90,000, and the actual cost incurred is $850,000. The sharing ratio is 70/30. What is the total contract price? A, $930,000. B, $120,000. C, $150,000. D, $955,000. Answer, D, $955,000. Thank you for watching. Please like and subscribe for more helpful exam preparation practice questions just like these.