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Question 1
ప్రశ్న 1
A construction planner is preparing a network for a water-supply scheme containing intake works, a pump house and a transmission main. What is the PRIMARY information a project network is intended to represent?
Explanation:
A project network represents how defined activities are logically related. Arrows or links show which operations must precede other operations. This allows the planner to examine feasible sequences and parallel branches. Activity durations can subsequently be added to analyse completion times. A site layout or cost statement does not by itself establish these dependencies. Network logic must reflect the technical and contractual constraints of the work.
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Question 2
ప్రశ్న 2
In an Activity-on-Arrow (AOA) network for a reservoir project, which statement correctly identifies the conventional representation of REAL activities and events?
Explanation:
In the AOA convention, an arrow stands for a real activity requiring an estimated duration. Its tail is the event from which the activity can commence. Its head represents the event reached when that activity has been completed. The nodes themselves represent occurrences rather than duration-bearing construction operations. Additional zero-duration dummy arrows may be needed to preserve correct relationships. The geometric length of an AOA arrow does not indicate its activity duration.
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Question 3
ప్రశ్న 3
Which representation is correct for an Activity-on-Node (AON) or precedence network?
Explanation:
AON places each defined activity in a node, commonly drawn as a box. Directed links connect activities to indicate dependencies. Activity names and durations can be recorded inside the boxes. This representation readily shows that one activity may have several predecessors or successors. Traditional AOA dummy arrows are not generally required to model those ordinary AON relationships. The link logic must still be technically correct before scheduling calculations are performed.
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Question 4
ప్రశ్న 4
An AOA schedule distinguishes completion of a pump foundation from the seven-day curing operation preceding it. Which statement about EVENTS and ACTIVITIES is correct?
Explanation:
An event marks the occurrence of a defined state or achievement in a network. It does not itself consume elapsed project time. A required curing or waiting operation can occupy several days even if it uses little active labour. The event marking its completion occurs after that time has passed. Treating curing as a zero-time dummy would incorrectly allow dependent construction to start too early. Network durations must reflect mandatory technical waiting periods.
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Question 5
ప్రశ్న 5
An AON network has finish-to-start links A to B and B to C, with no other links. Which is the IMMEDIATE predecessor of C?
Explanation:
An immediate predecessor has a direct logical link into the activity being considered. Activity B is connected directly to C. Activity A precedes C through B, so A is an indirect predecessor of C. The distinction matters when building a predecessor table. All upstream work may constrain C even though only B is immediately connected to it. Correct identification avoids redundant or missing links in the schedule.
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Question 6
ప్రశ్న 6
In an AON network, Activity A has direct links to B and C; B directly precedes D, and C directly precedes E. What are the IMMEDIATE successors of A?
Explanation:
An immediate successor is linked directly downstream of the activity. The given network has direct links from A to B and from A to C. D and E occur farther downstream through those branches. Therefore B and C, not D and E, are the immediate successors. The network correctly illustrates a branching of work after A. Downstream reachability and immediate adjacency are different relationships.
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Question 7
ప్రశ్న 7
After a pump-house foundation is accepted, electrical-room fitting and independent delivery inspections can proceed without a technical precedence relationship between them. What does their CONCURRENT relationship mean?
Explanation:
Concurrent activities have no technical requirement to execute in a fixed order relative to each other. They may overlap after any shared prerequisites are satisfied. Concurrent does not mean their start dates must be identical. Resource limitations can still require practical staggering or resequencing. The network expresses precedence logic rather than guaranteeing resource availability. Construction planners must check both logical and resource feasibility.
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Question 8
ప్రశ్న 8
In an AOA network, event 8 has two real activities terminating at it and three real activities starting from it. How is event 8 best classified?
Explanation:
A merge event has more than one incoming activity. A burst event has more than one outgoing activity. The stated event has two incoming and three outgoing arrows. It therefore performs both roles in the network. An event remains a zero-duration node even when many activities meet there. The successors may start only when the prerequisites represented by the incoming activities have been satisfied.
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Question 9
ప్రశ్న 9
In a correctly drawn Activity-on-Arrow network, two real activities originate from DISTINCT tail events. Both tail events are reached at project time zero through zero-duration dummy links from the project start. The real activities take 7 days and 10 days respectively and both enter the SAME merge event. With no other constraints, what is the earliest occurrence time of that merge event?
Explanation:
The two real activities originate at distinct events, avoiding duplicate activity identifiers in the AOA network. Their tail events both have an earliest occurrence time of zero. The connecting dummy activities consume no project duration. The seven-day activity reaches the merge event at project time 7. The ten-day activity reaches the same event at project time 10. Since the merge event requires completion of both incoming activities, its earliest occurrence time is the maximum of 7 and 10, which is 10 days.
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Question 10
ప్రశ్న 10
In a network with finish-to-start relationships and no overlap, activities A, B and C form one complete START-to-FINISH path. Their durations are 3, 4 and 5 days respectively. What is the duration of this path?
Explanation:
A path is a connected sequence of activities between two specified network points. The question identifies A, B and C as sequential activities on the same path. Their durations must therefore be added. The path duration is 3 + 4 + 5 = 12 days. This calculation does not by itself prove that the path is critical if other paths exist. The project completion time depends on the longest relevant start-to-finish path under the stated scheduling assumptions.
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Question 11
ప్రశ్న 11
A small AON project has A = 4 days and B = 6 days starting at time zero. Activity C = 5 days follows A; D = 2 days follows B; E = 3 days follows BOTH C and D. All links are finish-to-start, with no resource constraints or lag. What is the earliest completion time?
Explanation:
Activity C finishes at time 4 + 5 = 9 days. Activity D finishes at time 6 + 2 = 8 days. Activity E must wait for both C and D, so it can start at time 9. Its three-day duration brings project completion to time 12. The two upstream branches run in parallel and must not be added sequentially. The A-C-E sequence is the controlling start-to-finish path under these assumptions.
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Question 12
ప్రశ్న 12
An AOA network has exactly four real arrows: A from event 1 to 2 (4 days), C from 2 to 4 (5 days), B from 1 to 3 (6 days), and D from 3 to 4 (3 days). Event 1 is the start and event 4 the finish. Which statement is correct under unrestricted parallel execution?
Explanation:
The network has two start-to-finish branches. The A-C path lasts 4 + 5 = 9 days. The B-D path lasts 6 + 3 = 9 days. Both paths are equally long, so neither has spare time relative to the common nine-day project finish. The branches may operate in parallel under the stated assumptions. Multiple critical paths are possible in a project network.
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Question 13
ప్రశ్న 13
What is the defining role of a DUMMY activity in a traditional AOA network?
Explanation:
A dummy activity is not a physical construction operation. In a traditional AOA network, it is drawn as a broken or dashed directed arrow. It has zero duration and requires no construction resources. Its purpose is to preserve the intended dependency relationships or unique activity identification. A dummy can appear on a controlling network path without adding time to that path. Mandatory curing or approval waiting periods with nonzero durations must not be disguised as zero-time dummies.
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Question 14
ప్రశ్న 14
Two independent activities A and B start at the project start. Activity C must await BOTH A and B, whereas Activity D must await B ONLY. Which AOA representation principle prevents an incorrect extra dependency on A for D?
Explanation:
The precedence table requires C to wait for both independent activities. D has only B as its predecessor and must not be forced to wait for A. Merging both paths before starting C and D would create an unintended dependency for D. A suitable AOA construction retains a B-only completion event for D. A zero-duration dummy can link that B event to the separate event representing readiness for C after both A and B. This preserves the intended logic without inventing construction work.
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Question 15
ప్రశ్న 15
Two distinct real activities would otherwise be drawn as arrows with the SAME start-event number and SAME finish-event number in a classical AOA network where each activity is identified by its event pair. What is the main issue and remedy?
Explanation:
Classical AOA descriptions commonly identify an activity by its tail and head event numbers. Two different activities with an identical ordered event pair would therefore have indistinguishable identifiers. The network can be redrawn using an intermediate event and an appropriate dummy arrow. The zero-time link must preserve the original precedence requirements. The remedy does not mean that concurrent real activities are prohibited. It simply ensures a valid and unambiguous representation in the selected AOA convention.
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Question 16
ప్రశ్న 16
A project has partial dependencies: activity C requires both A and B, but activity D requires only B. Why is AON often easier than AOA for representing this situation?
Explanation:
In AON, each activity is represented directly by its own node. Precedence arrows can be drawn from A and B to C. A separate direct arrow from B to D expresses its narrower dependency. There is no need to invent a zero-duration dummy activity to distinguish these links. The network still needs an accurate activity list and legitimate constraints. AON simplifies this representation rather than removing the need for scheduling analysis.
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Question 17
ప్రశ్న 17
In a conventional AOA network, a real activity is shown as a directed arrow from event 3 to event 8 and is labelled as requiring 4 days. Which statement is correct?
Explanation:
The tail event identifies the point from which the AOA activity originates. The head event identifies its completion point. The stated activity duration is four days. Event numbers are identifiers and are not used as a subtraction formula for duration. Conventional forward numbering often uses increasing numbers along arrows. Actual event times are calculated from the durations and network dependencies.
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Question 18
ప్రశ్న 18
Two AOA activity arrows are drawn with equal geometric length on paper. One has a labelled duration of 3 days and the other 11 days. Which interpretation is correct?
Explanation:
An ordinary AOA network diagram depicts precedence rather than bar-chart scale. The physical lengths of its arrows are chosen for clear drawing layout. Each activity duration is given by its labelled estimate or associated data. Thus one activity may last three days and another eleven days despite equal drawn lengths. A time-scaled Gantt chart uses a different visual convention. Confusing the two formats can produce serious scheduling interpretation errors.
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Question 19
ప్రశ్న 19
A proposed precedence network for intake construction states that A must precede B, B must precede C, and C must precede A. What is the principal network-logic defect?
Explanation:
A valid finish-to-start precedence network must permit a feasible execution order. The stated relationships form a closed loop from A through B and C back to A. A cannot start until C finishes, while C ultimately depends on A. This circular requirement is impossible without revising the logic. The planner should inspect and correct the erroneous dependency. Network analysis is based on a directed acyclic precedence structure for ordinary project activities.
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Question 20
ప్రశ్న 20
In an AON plan for a water-treatment plant, Activity G produces a commissioning document REQUIRED for project acceptance, but G has no logical route to the defined final-completion milestone. What is the most appropriate review finding?
Explanation:
Activity G produces a required completion deliverable. It must therefore be represented in the network leading to the relevant acceptance or finish point. As drawn, the planner could calculate completion without ensuring that G is finished. The missing link is commonly described as a dangling or improperly terminated required branch. Adding the correct link preserves the contractual completion requirements. The planner should avoid adding unnecessary relationships to unrelated construction tasks.
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Question 21
ప్రశ్న 21
Two activities have no technological dependency and appear on parallel AON branches. Both require the project's ONLY specialist crane for their entire durations, and crane sharing is impossible. What is the appropriate interpretation?
Explanation:
A precedence network identifies logical relationships, not all resource restrictions. Independent branches can be structurally capable of overlapping. A single exclusive crane cannot perform two simultaneous full-time lifting activities. Resource levelling or an additional approved resource is required for an executable programme. This resource constraint may change scheduled dates without changing the underlying technical predecessors. A network is useful only when supplemented by realistic execution assumptions.
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Question 22
ప్రశ్న 22
Consider this AON topology with a single START and FINISH: START leads separately to A and B; BOTH A and B precede EACH of C and D; and BOTH C and D lead to FINISH. How many distinct START-to-FINISH activity paths exist, ignoring durations?
Explanation:
A path follows one connected sequence of directed links from start to finish. From START, there are two choices, A or B. Each of those activities has a link to each of C and D. Therefore the complete paths are A-C, A-D, B-C and B-D. There are four distinct routes when the common START and FINISH nodes are included. Path counting does not imply that the project can finish after only one branch; all required activities must satisfy the merge logic.
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Question 23
ప్రశ్న 23
An AOA network has A: 1 to 2, duration 4 days; B: 1 to 3, duration 6 days; a DUMMY: 2 to 3, duration zero; and C: 3 to 4, duration 5 days. Project time at event 1 is zero, all links are finish-to-start, and there are no resource restrictions. What is the earliest time at event 4?
Explanation:
Event 2 can occur at time 4 after activity A. The dummy from event 2 to event 3 adds no duration but transfers A's completion requirement. Activity B reaches event 3 at time 6. Event 3 must wait for both incoming links and therefore occurs at max(4, 6) = 6 days. Activity C then takes five days from event 3 to event 4. The earliest time of event 4 is 6 + 5 = 11 days.
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Question 24
ప్రశ్న 24
In an AON precedence diagram, Activity A starts at project time zero and lasts 7 days. Activity B has a START-to-START relationship with A with a minimum positive lag of 2 days and has no other predecessor or constraint. What is B's earliest permitted start time?
Explanation:
A start-to-start link limits the successor start relative to the predecessor start. Activity A starts at time zero. The specified minimum lag is two days after that start. Therefore B may begin as early as project time 2 days. B does not need to wait for A to complete all seven days. This relationship differs from the more familiar finish-to-start dependency. Explicit relationship types help avoid falsely sequential construction schedules.
వివరణ:
Question 25
ప్రశ్న 25
In a conventional AOA network that uses increasing event numbers in the direction of work and one identified final event, which diagramming practice is correct?
Explanation:
A correct AOA network uses arrow direction to communicate the sequence of work. In the stated forward-numbering convention, an arrow goes from a lower-numbered event toward a higher-numbered event. Identifiers should permit the individual activities to be distinguished unambiguously. Closed loops cannot represent a feasible ordinary precedence sequence. Required activities must lead to the appropriate completion event. These checks protect the validity of later duration and path calculations.
వివరణ:
Answer Key సమాధానాల పట్టిక
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Question 1 ప్రశ్న 1Answer: B. Activities and their logical precedence relationships so that the feasible order of work can be analysed. సమాధానం: B.
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Question 2 ప్రశ్న 2Answer: D. Real activities are represented by directed arrows, while their tail and head nodes represent start and completion events. సమాధానం: D.
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Question 3 ప్రశ్న 3Answer: A. Activities are placed in nodes or boxes, and directed links indicate their logical relationships. సమాధానం: A.
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Question 4 ప్రశ్న 4Answer: C. The curing operation has a duration, while an event marking its satisfactory completion is a zero-duration point. సమాధానం: C.
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Question 5 ప్రశ్న 5Answer: B. Activity B only. సమాధానం: B.
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Question 6 ప్రశ్న 6Answer: A. B and C. సమాధానం: A.
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Question 7 ప్రశ్న 7Answer: D. Their planned work periods may overlap, provided the required resources and other constraints permit it. సమాధానం: D.
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Question 8 ప్రశ్న 8Answer: C. Both a merge event for incoming activities and a burst event for outgoing activities. సమాధానం: C.
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Question 9 ప్రశ్న 9Answer: A. 10 days. సమాధానం: A.
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Question 10 ప్రశ్న 10Answer: B. 12 days. సమాధానం: B.
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Question 11 ప్రశ్న 11Answer: D. 12 days. సమాధానం: D.
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Question 12 ప్రశ్న 12Answer: C. Both A-C and B-D are critical paths, and the minimum completion time is 9 days. సమాధానం: C.
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Question 13 ప్రశ్న 13Answer: B. To preserve required precedence logic with a zero-duration, zero-resource logical arrow. సమాధానం: B.
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Question 14 ప్రశ్న 14Answer: A. Retain a B-completion event from which D can start, while using a suitable zero-time dummy to convey completion of B to the separate joint prerequisite event for C. సమాధానం: A.
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Question 15 ప్రశ్న 15Answer: C. The event-pair identifiers would not distinguish the activities; introduce appropriate event separation and a dummy link while preserving the intended logic. సమాధానం: C.
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Question 16 ప్రశ్న 16Answer: D. AON can directly connect A and B to C, and B alone to D, without traditional AOA dummy arrows. సమాధానం: D.
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Question 17 ప్రశ్న 17Answer: A. The activity connects its tail event 3 to its head event 8 and carries a four-day duration; the event numbers are identifiers, not elapsed days. సమాధానం: A.
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Question 18 ప్రశ్న 18Answer: B. Their durations are 3 and 11 days respectively; geometric arrow length is not a time scale in a standard AOA network. సమాధానం: B.
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Question 19 ప్రశ్న 19Answer: C. The relationships create a directed cycle, so no activity in that cycle can legitimately be first under the stated prerequisites. సమాధానం: C.
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Question 20 ప్రశ్న 20Answer: D. The network contains a dangling required branch; connect G to the appropriate acceptance or completion logic without creating a false precedence. సమాధానం: D.
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Question 21 ప్రశ్న 21Answer: B. The precedence network permits overlap logically, but a resource-feasible schedule must sequence the crane use or provide an authorized extra crane. సమాధానం: B.
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Question 22 ప్రశ్న 22Answer: A. 4 paths. సమాధానం: A.
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Question 23 ప్రశ్న 23Answer: D. 11 days. సమాధానం: D.
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Question 24 ప్రశ్న 24Answer: C. Time 2 days, because the lag is measured from A's start rather than its finish. సమాధానం: C.
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Question 25 ప్రశ్న 25Answer: A. Direct real and dummy arrows from their predecessor events toward successor events, keep event identification unambiguous, and avoid cycles or required branches disconnected from the final event. సమాధానం: A.
