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Question 1
ప్రశ్న 1
During planning of a sewage-treatment plant, the engineer assigns labour crews and equipment to individual activities, calculates their combined demand over time, and subsequently adjusts activity dates to reduce demand fluctuations. Which statement correctly distinguishes these resource-management processes?
Explanation:
Resource allocation involves assigning specified labour, equipment or other resources to planned activities. Resource aggregation combines these assignments to determine resource demand during successive time periods. The aggregated demands may be displayed in a resource histogram. Resource smoothing attempts to reduce fluctuations or peaks while respecting the required project completion date. Smoothing commonly uses available activity float to reposition work. Resource leveling is a separate process that gives priority to resource-availability limits and may extend the schedule.
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Question 2
ప్రశ్న 2
A resource-loaded construction schedule uses continuous elapsed days and constant labour assignments. Activity A needs 4 workers during time 0 to 3, B needs 3 workers during time 1 to 4, and C needs 2 workers during time 3 to 5. Each activity occupies its start time but not its finish time. What is the MAXIMUM simultaneous labour demand?
Explanation:
Resource aggregation adds the demands of activities executing in the same time interval. From time 0 to 1, only A operates and requires four workers. From time 1 to 3, A and B overlap and require 4 + 3 = 7 workers. From time 3 to 4, B and C together require five workers. From time 4 to 5, only C operates and requires two workers. Therefore the maximum simultaneous demand is seven workers.
వివరణ:
Question 3
ప్రశ్న 3
A resource histogram for a foundation project shows constant manpower demand of 3 workers during Days 1–2, 6 workers during Days 3–5, and 4 workers during Days 6–7. Each worker works one complete shift per assigned day. What are the TOTAL labour requirement and PEAK daily manpower demand?
Explanation:
Total resource demand is the area represented by the manpower histogram. The first two days contribute 3 × 2 = 6 worker-days. The next three days contribute 6 × 3 = 18 worker-days. The final two days contribute 4 × 2 = 8 worker-days. Total labour demand is 6 + 18 + 8 = 32 worker-days. The maximum simultaneous manpower requirement is six workers, not the sum of the three histogram heights.
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Question 4
ప్రశ్న 4
A masonry work package requires an estimated 96 worker-days of effort. The approved execution period is 8 working days, and workers are assumed to contribute equally with no congestion or productivity losses. What average number of workers must be allocated to meet the duration?
Explanation:
The total labour effort is ninety-six worker-days. The available execution duration is eight working days. Average manpower is calculated by dividing required effort by available working days. Therefore the required average labour allocation is 96/8 = 12 workers. This calculation assumes that the planned workforce can maintain uniform productivity. In actual construction, workfront congestion and trade interfaces may prevent proportional productivity gains.
వివరణ:
Question 5
ప్రశ్న 5
Two independent concreting activities each require exclusive use of the project's ONLY concrete pump for 3 continuous days. Both are ready to start at project time zero, and neither can be interrupted once started. No additional pump is permitted. What is the minimum time required to complete BOTH activities?
Explanation:
Technical independence allows the activities to appear on parallel CPM branches. However, both require exclusive use of the same concrete pump. The pump cannot serve both operations simultaneously under the stated assumptions. One concreting activity must therefore finish before the other can use the equipment. Their resource-constrained durations total 3 + 3 = 6 days. This is an example of resource leveling producing a longer feasible schedule than the unrestricted three-day CPM result.
వివరణ:
Question 6
ప్రశ్న 6
A critical activity K needs 5 carpenters from project time 2 to 5. A noncritical activity X needs 3 carpenters for the same three-day period and has 3 days of total float, allowing its start to move from time 2 to time 5 without affecting the project finish at time 8. Only 5 carpenters are available, and no other activity needs them between times 5 and 8. Which action is appropriate?
Explanation:
The original overlapping activities require eight carpenters while only five are available. Activity K has a critical timing requirement and should not be delayed unnecessarily. Activity X has three days of total float that permit its entire start to shift to time 5. Executing X from time 5 to 8 removes the conflict with K. The stated project completion at time 8 is preserved. This is resource smoothing through the use of available noncritical activity float.
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Question 7
ప్రశ్న 7
An AON activity has ES = 2, EF = 5, LS = 6 and LF = 9 days. Its immediate successor has ES = 6 days under a zero-lag finish-to-start relationship. The activity is postponed by 3 days from its original earliest start, with no change in duration or other network assumptions. Which statement is correct?
Explanation:
The activity's total float equals LS - ES = 6 - 2 = 4 days. Its free float is successor ES minus activity EF, giving 6 - 5 = 1 day. Postponing the activity by three days changes its earliest feasible finish from time 5 to time 8. Its successor must consequently move from earliest start time 6 to time 8, a delay of two days. The three-day postponement remains within the activity's four-day total float. Therefore the successor is affected even though the calculated project completion need not be delayed.
వివరణ:
Question 8
ప్రశ్న 8
Two independent critical activities each require 4 workers for 4 complete days, and both must finish by project time 4 to preserve the unrestricted CPM completion date. Only 6 workers are available, their assigned crews cannot be reduced, and neither activity can be interrupted. What is the correct assessment?
Explanation:
The concurrent requirement is 4 + 4 = 8 workers. Available manpower is limited to six workers. Neither activity has spare timing before the required four-day project finish. Their assigned four-worker crews cannot be reduced under the stated conditions. Consequently they must operate sequentially, requiring 4 + 4 = 8 days. Resource smoothing cannot resolve this overload while preserving the four-day deadline, so a resource-limited schedule or approved resource change is necessary.
వివరణ:
Question 9
ప్రశ్న 9
A pump-house project has two independent initial activities A = 3 days and B = 5 days, both requiring exclusive use of a single mobile crane throughout. Activity E = 2 days begins only after BOTH A and B finish and does not require the crane. Activities cannot be interrupted, and there are no other constraints. What are the unrestricted CPM duration and the MINIMUM resource-leveled duration?
Explanation:
Without resource restrictions, A and B can start together at project time zero. Their parallel section lasts max(3, 5) = 5 days, and E adds two days. Thus the unrestricted CPM duration is seven days. Under the single-crane constraint, A and B must be executed sequentially. Their combined crane-occupation duration is eight days. Adding E gives a minimum resource-leveled project duration of ten days.
వివరణ:
Question 10
ప్రశ్న 10
Two activities compete for one specialist crane at the same time. Activity A is on the sole critical path, whereas Activity B has sufficient total float to be postponed until A releases the crane without affecting project completion. Which initial allocation strategy is most defensible?
Explanation:
Activity A directly controls the calculated project completion under the stated network. Activity B has enough timing flexibility to avoid the crane conflict. Giving A the scarce equipment first can therefore preserve the required completion date. B may be moved within its allowable float after verifying its successors and other resource assignments. This is a reasonable scheduling priority for the specified case. Criticality is not an unconditional priority rule, but it provides useful information when selecting among feasible resource allocations.
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Question 11
ప్రశ్న 11
A four-day construction programme has three activities using the same type of labour: A needs 4 workers during time 0–2, B needs 4 workers during time 0–2, and C needs 2 workers during time 2–4. B can be shifted intact to time 2–4 without delaying the project or violating dependencies. Each time interval includes its start but excludes its finish. What happens to the PEAK demand and TOTAL worker-days after shifting B?
Explanation:
Originally A and B overlap during time 0–2, producing a peak demand of eight workers. After B is shifted, only A operates during the first two days and requires four workers. During time 2–4, B and C together require 4 + 2 = 6 workers. The revised peak therefore falls from eight to six workers. Total effort remains 4 × 2 + 4 × 2 + 2 × 2 = 20 worker-days. Resource smoothing changes the distribution of work rather than automatically reducing the total labour effort.
వివరణ:
Question 12
ప్రశ్న 12
A network has two required start-to-finish branches: critical activity A lasts 10 days on one branch, while activities B = 4 days and C = 3 days execute sequentially on the other. Both branches begin at time zero, and project completion requires both to finish. A planner inserts a separate 2-day idle delay before B and another 2-day idle delay BETWEEN B and C. What is the revised project duration?
Explanation:
The shorter branch originally lasts 4 + 3 = 7 days. The ten-day branch controls the original project completion. The shorter branch therefore has three days of shared path flexibility. Adding a two-day idle period before B and another two-day idle period before C increases the branch duration to 2 + 4 + 2 + 3 = 11 days. The revised project finish is max(10, 11) = 11 days. Float on sequential activities sharing a path cannot be treated as independently additive allowances.
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Question 13
ప్రశ్న 13
A construction schedule is resource-leveled because several activities require the same limited lifting equipment. The new feasible execution order differs from the original unrestricted CPM order. Which statement about critical-path analysis is most appropriate?
Explanation:
Ordinary CPM dates are calculated from precedence relationships and durations. They do not automatically incorporate the limited availability of every construction resource. Resource leveling can introduce additional sequencing requirements when resources are shared. These requirements can cause a different sequence to determine feasible project completion. The resource-constrained schedule should therefore be examined for its controlling activities and revised completion date. Technical predecessors must remain valid throughout the leveling process.
వివరణ:
Question 14
ప్రశ్న 14
Two independent foundation pours each require exclusive use of a concrete pump for 4 days. With the existing single pump, the project takes 8 days. Hiring one additional pump for a fixed ₹5 lakh permits both pours to run in parallel and complete the project in 4 days. Time-related project overhead is ₹3 lakh per day, and all other costs are unchanged. What is the NET total-cost saving from hiring the additional pump?
Explanation:
The additional pump removes the resource conflict between the two pours. Their combined project duration decreases from eight days to four days. This saves four days of time-related overhead. The overhead saving is 4 × ₹3 = ₹12 lakh. The additional pump hire costs ₹5 lakh. Therefore the net total-cost saving is ₹12 - ₹5 = ₹7 lakh, assuming no other expenditure changes.
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Question 15
ప్రశ్న 15
A pipe-laying team consumes 25 pipes per working day over a planned 10-day continuous operation. The project initially has 180 suitable pipes in stock, and no losses are expected. A single additional delivery can be arranged before work begins on Working Day 8. What MINIMUM delivery quantity is required to prevent a material shortage and complete the operation?
Explanation:
The ten-day operation requires 25 × 10 = 250 pipes. Initial available stock is 180 pipes. Total additional requirement is therefore 250 - 180 = 70 pipes. The initial stock supports seven complete working days because 7 × 25 = 175 pipes. A shortage would first arise on Working Day 8 without replenishment. Delivering seventy additional pipes before that day's work begins is sufficient to maintain the planned production and complete all ten days.
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Question 16
ప్రశ్న 16
A six-day project has a fixed baseline labour demand of 3 workers during time 0–2, 5 workers during time 2–4, and 1 worker during time 4–6. A separate noncritical activity X needs exactly 3 workers for 2 consecutive days and may start at time 0, 2 or 4 without changing the project finish. There are no other dependencies or resource constraints. Which start time for X MINIMIZES the peak manpower demand?
Explanation:
Starting X at time zero makes the first interval demand 3 + 3 = 6 workers. Starting at time two makes the middle interval demand 5 + 3 = 8 workers. Starting at time four makes the final interval demand 1 + 3 = 4 workers. Under that last arrangement, the unchanged middle-period demand of five workers becomes the project's peak. Thus starting X at time four minimizes peak demand at five workers. This is resource smoothing within the available scheduling flexibility.
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Question 17
ప్రశ్న 17
Two independent construction activities A and B require fixed resources throughout their durations. A needs 4 workers and one crane for 2 days; B needs 3 workers and one crane for 3 days. Available resources are 6 workers and ONLY one suitable crane. Activities cannot be interrupted, and no additional resources are allowed. What is the minimum total duration for both activities?
Explanation:
The activities have no technical precedence relationship and could otherwise overlap. Concurrent execution would require seven workers, exceeding the available six. It would also require two cranes, while only one is available. Consequently the activities cannot execute simultaneously under the fixed resource assignments. Their durations must be placed sequentially, giving 2 + 3 = 5 days. Resource leveling must respect every relevant resource limit rather than only the labour constraint.
వివరణ:
Question 18
ప్రశ్న 18
A project has independent activities A = 3 days and B = 4 days, both requiring the project's only crane throughout. Activity C = 4 days follows A but does NOT require the crane. Project completion requires both B and C to finish. All activities are non-preemptive, and no other resources constrain execution. Which crane-allocation order gives the EARLIEST project completion?
Explanation:
Executing A first occupies the crane from time zero to time three. Activity C can then start at time three without requiring the crane. B may also use the released crane from time three to time seven. C finishes at time seven, so both required activities are complete at that time. If B uses the crane first, A cannot start until time four and C cannot finish before time eleven. Therefore allocating the crane to A first gives the shorter project duration of seven days.
వివరణ:
Question 19
ప్రశ్న 19
A resource-loaded schedule has A requiring 2 electricians during time 0–4, B requiring 4 electricians during time 1–3, and C requiring 3 electricians during time 2–5. All requirements are constant and intervals exclude their finish times. Only 7 electricians are available. What are the PEAK demand and MAXIMUM shortage in the unrestricted schedule?
Explanation:
From time zero to one, only A operates and needs two electricians. From time one to two, A and B require six electricians. From time two to three, all three activities overlap and require 2 + 4 + 3 = 9 electricians. This exceeds the available seven electricians by two. Later time periods have lower demand because B finishes at time three. Thus the peak demand is nine electricians and the maximum shortage is two electricians.
వివరణ:
Question 20
ప్రశ్న 20
A noncritical activity has 5 days of TOTAL FLOAT but only 2 days of FREE FLOAT. A proposed resource-smoothing adjustment postpones the activity by 4 days from its earliest scheduled position, without changing its duration. Assuming standard zero-lag precedence and no other changes, which statement is correct?
Explanation:
Total float measures delay flexibility relative to the project completion reference. Free float measures delay flexibility without changing successors' earliest starts. Here the activity has five days of total float but only two days of free float. A four-day postponement consumes more than the free float and may therefore shift a successor's earliest feasible start. Nevertheless, four days remain within the stated total-float allowance. This adjustment can preserve project completion while consuming downstream scheduling flexibility.
వివరణ:
Question 21
ప్రశ్న 21
A crawler excavator is available for 10 complete working days within a reporting period. Approved resource records show that it was productively assigned for 6 complete days and was idle for the other 4 days. Using productive assigned days divided by available days, what is its RESOURCE UTILIZATION during the period?
Explanation:
Resource utilization compares productive use with the time for which the resource is available. The excavator is available for ten working days. It is productively used for six of those days. The utilization ratio is therefore 6/10 = 0.60. Expressed as a percentage, utilization is sixty percent. The remaining forty percent is idle availability under the specified measurement convention.
వివరణ:
Question 22
ప్రశ్న 22
A pipeline activity contains 480 m of work. Each fully equipped crew can install 40 m per working day, and two crews could work simultaneously without productivity losses or interference. The original plan allocates two crews, but resource leveling reduces availability to ONE crew throughout the activity. Ignoring other interruptions, what happens to the activity duration?
Explanation:
With two crews, combined productivity is 2 × 40 = 80 metres per working day. Installing 480 metres then takes 480/80 = 6 working days. With only one crew, daily output is forty metres. The revised activity duration becomes 480/40 = 12 working days. Thus the activity duration increases by six working days. Whether the project finish also changes depends on the activity's float and downstream network relationships.
వివరణ:
Question 23
ప్రశ్న 23
A contractor prepares a resource plan for prefabricated concrete units. The aggregate installation requirement is 240 units, but site storage is limited and deliveries must be coordinated with different installation workfronts. Which planning approach is most appropriate?
Explanation:
Resource planning includes materials as well as labour and equipment. Aggregated installation requirements show the quantities needed across the project. Time-phased demand identifies when these materials must be available. Supplier lead times and storage limitations determine how deliveries should be scheduled. Coordinating supply with individual workfronts can reduce excessive inventory and installation interruptions. A total quantity alone is insufficient to establish a feasible material-supply programme.
వివరణ:
Question 24
ప్రశ్న 24
Resource leveling changes the forecast finish of a municipal pipeline project from 100 days to 108 days because the contractor has fewer crews than originally planned. The contractual completion date and approved baseline have not been revised. What is the correct project-control response?
Explanation:
Resource leveling produces a schedule based on stated resource availability. It may identify that the original planned completion is no longer feasible with the available crews. The revised forecast should be compared with the approved baseline to quantify the delay risk. Project management should then evaluate feasible actions such as additional crews, alternative methods or resequencing. A resource-driven forecast does not automatically change the contractual completion date or establish entitlement to extra time. Any formal change must follow the applicable contract and approval procedures.
వివరణ:
Question 25
ప్రశ్న 25
A project has two technically independent starting branches: A = 5 days followed by C = 7 days, and B = 4 days followed by D = 5 days. Project completion requires BOTH C and D. Activities A and B each need exclusive use of the project's ONLY excavator for their full durations; C and D need no excavator and can proceed concurrently with other work. All activities are non-preemptive, with zero-lag finish-to-start links and no other constraints. What are the UNRESTRICTED CPM duration and MINIMUM resource-leveled duration?
Explanation:
Without the excavator restriction, the A-C branch takes 5 + 7 = 12 days and the B-D branch takes 4 + 5 = 9 days. The unrestricted CPM project duration is therefore twelve days. With one excavator, A and B cannot overlap. Executing A first allows C to run from time 5 to 12 while B occupies the excavator from time 5 to 9 and D subsequently finishes at time 14. This gives a resource-leveled project completion of fourteen days. Executing B first instead gives completion at time sixteen, so the minimum feasible leveled duration is fourteen days.
వివరణ:
Answer Key సమాధానాల పట్టిక
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Question 1 ప్రశ్న 1Answer: B. Resource allocation assigns resources to activities; aggregation determines combined time-phased demand; smoothing adjusts resource usage within schedule constraints. సమాధానం: B.
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Question 2 ప్రశ్న 2Answer: C. 7 workers. సమాధానం: C.
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Question 3 ప్రశ్న 3Answer: D. 32 worker-days and 6 workers. సమాధానం: D.
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Question 4 ప్రశ్న 4Answer: A. 12 workers. సమాధానం: A.
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Question 5 ప్రశ్న 5Answer: B. 6 days, because the pump must serve the activities sequentially. సమాధానం: B.
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Question 6 ప్రశ్న 6Answer: C. Move X to time 5–8, removing the manpower conflict without extending the project. సమాధానం: C.
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Question 7 ప్రశ్న 7Answer: A. The successor's earliest start moves 2 days later, but the project's calculated finish need not change because the activity's total float is 4 days. సమాధానం: A.
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Question 8 ప్రశ్న 8Answer: D. The four-day finish cannot be achieved with the stated workforce; resource leveling requires sequential execution and an eight-day finish unless resources or methods change. సమాధానం: D.
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Question 9 ప్రశ్న 9Answer: A. 7 days and 10 days respectively. సమాధానం: A.
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Question 10 ప్రశ్న 10Answer: C. Preserve A's critical execution and reposition B within its available float, after checking all related constraints. సమాధానం: C.
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Question 11 ప్రశ్న 11Answer: B. Peak falls from 8 to 6 workers, while total effort remains 20 worker-days. సమాధానం: B.
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Question 12 ప్రశ్న 12Answer: D. 11 days, because the four days of inserted idle time exceed the shorter branch's three-day allowance by one day. సమాధానం: D.
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Question 13 ప్రశ్న 13Answer: A. Resource constraints may create a resource-driven controlling sequence, so the resulting schedule and criticality should be reassessed. సమాధానం: A.
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Question 14 ప్రశ్న 14Answer: C. ₹7 lakh. సమాధానం: C.
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Question 15 ప్రశ్న 15Answer: D. 70 pipes. సమాధానం: D.
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Question 16 ప్రశ్న 16Answer: B. Start at time 4; peak demand becomes 5 workers. సమాధానం: B.
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Question 17 ప్రశ్న 17Answer: A. 5 days. సమాధానం: A.
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Question 18 ప్రశ్న 18Answer: D. Execute A first, permitting C and B to overlap and producing completion at time 7. సమాధానం: D.
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Question 19 ప్రశ్న 19Answer: B. Peak 9 electricians; shortage 2 electricians. సమాధానం: B.
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Question 20 ప్రశ్న 20Answer: C. The postponement may shift successor early dates because it exceeds free float, but it can remain within the activity's total float and preserve the project finish. సమాధానం: C.
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Question 21 ప్రశ్న 21Answer: A. 60%. సమాధానం: A.
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Question 22 ప్రశ్న 22Answer: D. It becomes 12 working days, increasing duration by 6 days. సమాధానం: D.
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Question 23 ప్రశ్న 23Answer: A. Convert time-phased installation demand into a delivery and storage plan, considering lead times, inventory capacity and the sequence of workfronts. సమాధానం: A.
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Question 24 ప్రశ్న 24Answer: B. Retain the approved baseline for comparison, report the resource-constrained forecast and delay risk, and evaluate mitigation or contractual remedies under the applicable conditions. సమాధానం: B.
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Question 25 ప్రశ్న 25Answer: C. 12 days and 14 days respectively. సమాధానం: C.
