Network Analysis (PERT & CPM) # MCQs Practice set

Q.1 Which of the following is the main objective of network analysis in project management?

To maximize profits
To minimize project duration
To increase sales
To improve employee satisfaction
Explanation - Network analysis helps identify the critical path, which allows minimizing project completion time.
Correct answer is: To minimize project duration

Q.2 In PERT, the time estimates are based on:

Deterministic values
Probabilistic values
Historical averages
Manager’s intuition
Explanation - PERT uses optimistic, pessimistic, and most likely estimates to account for uncertainty in activity durations.
Correct answer is: Probabilistic values

Q.3 Which technique is more suitable for projects with uncertain activity times?

CPM
PERT
Gantt Chart
Linear Programming
Explanation - PERT deals with probabilistic activity times, making it better suited for uncertain environments.
Correct answer is: PERT

Q.4 The critical path is defined as:

The shortest path through the network
The longest path through the network
The path with least cost
The path with most slack
Explanation - The critical path represents the longest duration path, which determines the minimum project completion time.
Correct answer is: The longest path through the network

Q.5 Slack in CPM represents:

Extra cost available
Extra time available
The longest path
The most risky activity
Explanation - Slack refers to the amount of time an activity can be delayed without delaying the project.
Correct answer is: Extra time available

Q.6 Which of the following is NOT an assumption of PERT?

Activity times are uncertain
Activity times follow a beta distribution
Only one critical path exists
Events are independent
Explanation - PERT does not assume a single critical path; multiple paths may become critical in uncertain projects.
Correct answer is: Only one critical path exists

Q.7 What is the expected time formula in PERT?

(O+M+P)/3
(O+4M+P)/6
(O+2M+P)/4
(O+M+2P)/5
Explanation - The expected time (TE) in PERT is calculated as (Optimistic + 4×Most likely + Pessimistic)/6.
Correct answer is: (O+4M+P)/6

Q.8 In CPM, activity times are considered:

Probabilistic
Deterministic
Random
Uncertain
Explanation - CPM assumes fixed (deterministic) activity durations without uncertainty.
Correct answer is: Deterministic

Q.9 Which of the following tools is commonly used to represent PERT and CPM?

Bar Chart
Flow Chart
Network Diagram
Histogram
Explanation - PERT and CPM are graphically represented using network diagrams of activities and events.
Correct answer is: Network Diagram

Q.10 The probability of completing a project within a deadline in PERT is calculated using:

Normal distribution
Poisson distribution
Exponential distribution
Chi-square distribution
Explanation - PERT uses the normal distribution approximation for project completion probabilities.
Correct answer is: Normal distribution

Q.11 Which of the following is TRUE for dummy activities in network analysis?

They consume time
They consume resources
They show dependency only
They are critical activities
Explanation - Dummy activities are used only to show precedence relationships and do not consume time or resources.
Correct answer is: They show dependency only

Q.12 In CPM, crashing is done to:

Reduce activity slack
Reduce project duration
Increase project cost
Delay the critical path
Explanation - Crashing means reducing the duration of activities (often by adding resources) to shorten total project time.
Correct answer is: Reduce project duration

Q.13 Which of the following is not an application of PERT/CPM?

Construction projects
Software development
Retail sales forecasting
Defense research projects
Explanation - PERT/CPM is mainly used in project management, not in sales forecasting.
Correct answer is: Retail sales forecasting

Q.14 If the slack of an activity is zero, then:

The activity is non-critical
The activity is critical
The activity can be delayed
The activity is unnecessary
Explanation - Zero slack means any delay in that activity will delay the project, making it critical.
Correct answer is: The activity is critical

Q.15 In network terminology, an event represents:

Start or completion of an activity
The duration of an activity
The cost of an activity
The risk of an activity
Explanation - Events represent milestones such as the beginning or end of activities in network diagrams.
Correct answer is: Start or completion of an activity

Q.16 The earliest start time of an activity is determined by:

Forward pass
Backward pass
Slack calculation
Crashing analysis
Explanation - Forward pass through the network determines earliest start and finish times.
Correct answer is: Forward pass

Q.17 The latest finish time of an activity is determined by:

Forward pass
Backward pass
Dummy activities
Probability estimates
Explanation - Backward pass is used to calculate latest start and finish times.
Correct answer is: Backward pass

Q.18 Which is NOT an advantage of network analysis?

Helps in time management
Improves cost efficiency
Guarantees project success
Identifies critical activities
Explanation - Network analysis aids planning but cannot guarantee success due to external uncertainties.
Correct answer is: Guarantees project success

Q.19 Standard deviation of an activity in PERT is calculated as:

(P-O)/2
(P-O)/6
(P-O)/3
(P-O)/4
Explanation - In PERT, standard deviation is calculated as (Pessimistic – Optimistic)/6.
Correct answer is: (P-O)/6

Q.20 What does CPM mainly focus on?

Time
Cost
Uncertainty
Risk
Explanation - While CPM uses deterministic time estimates, its primary strength lies in cost optimization with time trade-offs.
Correct answer is: Cost

Q.21 If an activity has an earliest start of 5 days and a latest start of 8 days, what is its slack?

0 days
2 days
3 days
5 days
Explanation - Slack = Latest Start – Earliest Start = 8 – 5 = 3 days.
Correct answer is: 3 days

Q.22 Which of these projects is most suitable for CPM?

New drug research
Software prototype design
Routine building construction
Exploratory space mission
Explanation - CPM is suitable for projects with predictable, well-defined activities like construction.
Correct answer is: Routine building construction

Q.23 The total float of an activity is:

Time available for delay without affecting project completion
Extra budget for an activity
The longest critical path
The expected time of the activity
Explanation - Total float refers to the maximum time an activity can be delayed without delaying the overall project.
Correct answer is: Time available for delay without affecting project completion

Q.24 In PERT, optimistic time is:

The most likely time
The shortest possible time
The longest possible time
The average time
Explanation - Optimistic time is the minimum duration under ideal conditions.
Correct answer is: The shortest possible time

Q.25 Which of the following is a limitation of PERT?

It handles uncertainty
It provides probability estimates
It requires three time estimates
It focuses on critical path
Explanation - PERT requires optimistic, pessimistic, and most likely time estimates, which can be difficult to determine accurately.
Correct answer is: It requires three time estimates