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✅ Subject: Project Management
📅 Week: 5
🎯 Session: NPTEL 2025 July-October
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NPTEL Project Management Week 5 Assignment Answers 2025
1. Which is/are features of PERT/CPM?
- An estimate of how long a project will take.
- A graphical display of project activities.
- An indication of critical activities.
- All the above
Answer : See Answers
2. In PERT, slack time equals
- EST + t
- LST – EST
- Zero
- EFT – EST
Answer :
3. Which of the following is one of the assumptions of PERT?
- Total project completion time follows a normal probability distribution.
- Activity times are dependent and correlated.
- Project completion time follows a skewed chi-square distribution.
- Activity times are known with certainty.
Answer :
For the Project network shown, answer the Questions 4 and 5 based on the data
provided.



4. What is the critical path?
- A-B-E-H-K
- A-B-E-G-J
- C-D-E-G-I-K
- C-D-E-G-J
Answer :
5. What is the probability of meeting a desired 26 weeks completion time?
- 0.2159
- 0.2060
- 0.2476
- 0.1867
Answer :
6. An important assumption in PERT calculations is:
- Activity times are normally distributed.
- Activity times are independent.
- A and B
- A and C
Answer : See Answers
7. If t a , t m and t b are the optimistic time, most likely time and pessimistic time respectively in PERT network then the expected value formulae is
- (t a + 3tm + tb )/6
- (ta + 4t m + t b )/6
- (ta – 4tm + tb )/6
- (ta – 3tm + t b )/6
Answer :
8. For Question # 8 to Question # 10 one should use data given which is as follows:
The tasks, their respective precedence and their respective times for a job which has these activities, are given as follows

The time to complete the job is
- 21
- 24
- 26
- 27
Answer :
9. The ES and EF for activity C is
- ES = 0 and EF = 2
- ES = 10 and EF = 13
- ES = 5 and EF = 8
- ES = 7 and EF = 10
Answer :
10. Float is available for activity/activities
- Activities A and B
- Activity A
- Activity B
- Activities C and D
Answer : See Answers
NPTEL Project Management Week 5 Assignment Answers 2024
1. Project task E has the following estimates: (1) optimistic time – 10 days, (2) Pessimistic time – 20 days, and (3) Most likely time – 12 Days. The standard deviation for time using the beta statistical distribution is ______________ days.
- 1.5
- 1.67
- 2
- 2.33
Answer: 1.67
Explanation:
Standard deviation (σ) = (Pessimistic – Optimistic) / 6 = (20 – 10)/6 = 1.67
2. Variance of an activity, σ² =
- ((a+b)/6)²
- (b-a)² / 6
- ((b-a)/6)²
- (a-b)²
Answer: ((b-a)/6)²
Explanation:
Variance = [ (Pessimistic – Optimistic) / 6 ]² = ((b-a)/6)²
3. Which of the following is not an advantage of a Gantt chart?
- It can be easily understood
- Gantt charts are more effective for huge projects than ordinary projects
- It provides a good picture of the state of the project
- It is relatively easy to maintain
Answer: Gantt charts are more effective for huge projects than ordinary projects
Explanation:
Gantt charts become cluttered and hard to interpret in large and complex projects.
4. One method of managing uncertainty is to perform ___________ on the data involved in our managerial decisions
- Simulation
- Probability analysis
- Critical path analysis
- Risk analysis
Answer: Probability analysis
Explanation:
Probability analysis helps evaluate different outcomes and uncertainties using statistical models.
5. Which of the following is not a reason for using Scrum for scheduling?
- Flexibility and Adaptability
- Customer Feedback
- Transparency
- Resistance
Answer: Resistance
Explanation:
Scrum is known for promoting adaptability, transparency, and feedback. Resistance is not a benefit, it’s a challenge.
6. The formula for computing the cost/time slope for each activity that can be crashed is ____________.
- (crash cost + normal cost) / (crash time + normal time)
- (crash cost – normal cost) / (crash time – normal time)
- (normal cost + crash cost) / (normal time + crash time)
- (normal cost – crash cost) / (normal time – crash time)
Answer: (crash cost – normal cost) / (crash time – normal time)
Explanation:
Slope = (Crash Cost – Normal Cost) / (Normal Time – Crash Time)
7. If the crash cost is $2,500, the normal cost is $1,500, the crash time is 4, and the normal time is 6, what is the slope?
- -1,500
- -1,000
- +750
- -500
Answer: -500
Explanation:
Slope = (2500 – 1500) / (6 – 4) = 1000 / 2 = +500, but time reduces, so cost per day saved is -500.
8. ______________ describes the amounts of individual resources an existing schedule requires during specific time periods.
- Resource loading
- Resource leveling
- Scope loading
- Resource succeeding
Answer: Resource loading
Explanation:
Resource loading shows how much of a resource is needed during a specific period in the project schedule.
9. _____________ itself is always a critical resource in project management, one that is unique because it can neither be inventoried nor renewed.
- Crashed resources
- Labor
- Manpower
- Time
Answer: Time
Explanation:
Time is the only non-renewable resource in project management; once lost, it cannot be recovered.
10. A project task is said to be __ if it requires a fixed amount of time and known quantities of resources.
- scope constrained
- time constrained
- resource constrained
- system constrained
Answer: time constrained
Explanation:
Time-constrained tasks must be completed within a fixed schedule regardless of resource availability.


