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Question 1
ప్రశ్న 1
Why is population forecasting required in the planning of a public water-supply scheme?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
Water-supply facilities are expected to serve populations larger than those existing at the time of planning. Source capacity, treatment units, transmission facilities, storage and distribution systems can all depend on the population to be served during their design stages. Underestimating future population can lead to inadequate capacity, while excessive overestimation can create unnecessary capital cost. Population forecasting therefore forms an important input to future water-demand estimation. Therefore Option B is correct.
వివరణ:
Question 2
ప్రశ్న 2
According to current MoHUA guidance referencing the CPHEEO Manual, water-supply infrastructure population projections are required principally for which planning stages?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
Current MoHUA guidance states that water-supply infrastructure is planned for base, intermediate and ultimate stages. Population must therefore be projected for these planning horizons rather than only for one future date. Different components may be implemented or augmented in stages depending on their function and useful life. This staged approach also helps avoid excessive initial investment while preserving long-term capacity planning. Therefore Option B is correct.
వివరణ:
Question 3
ప్రశ్న 3
Which group contains important demographic causes of population change that should be considered when interpreting past growth?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
Population does not change solely because of natural increase from births. Deaths reduce population, while inward and outward migration can materially alter urban growth. Administrative boundary changes or annexation can also create apparent jumps in recorded population. These causes should be understood before blindly extending a numerical trend into the future. Therefore Option A is correct.
వివరణ:
Question 4
ప్రశ్న 4
What fundamental assumption is made in the arithmetic increase method of population forecasting?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
The arithmetic increase method assumes an approximately constant absolute increase in population during equal successive periods. The average historical increase per decade is first determined from census data. Future population is then obtained by adding this average increase for each forecast decade. The method therefore represents essentially linear population growth rather than compound percentage growth. Therefore Option A is correct.
వివరణ:
Question 5
ప్రశ్న 5
The populations of a town in 1981, 1991, 2001 and 2011 were 80,000, 92,000, 106,000 and 122,000 respectively. What is the average decadal increase used in the arithmetic increase method?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
The successive increases are 12,000, 14,000 and 16,000 persons. Their total is 42,000 persons over three decadal intervals. The average increase is therefore 42,000/3 = 14,000 persons per decade. This average is the quantity used for a linear arithmetic projection from the latest known population. Therefore Option C is correct.
వివరణ:
Question 6
ప్రశ్న 6
Using the population data 80,000, 92,000, 106,000 and 122,000 for 1981, 1991, 2001 and 2011, what population is forecast for 2031 by the arithmetic increase method?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
The average decadal increase from the supplied data is 14,000 persons. The year 2031 is two decades after the latest population value of 122,000 in 2011. The projected increase is therefore 2 × 14,000 = 28,000 persons. Adding this to 122,000 gives a forecast population of 150,000. Therefore Option B is correct.
వివరణ:
Question 7
ప్రశ్న 7
For which growth pattern is the arithmetic increase method generally most defensible?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
Arithmetic increase assumes that approximately the same number of people is added during each equal time interval. This can reasonably approximate the behavior of some older or relatively mature cities with stable absolute additions. A rapidly expanding city often grows more nearly in percentage terms and may therefore be poorly represented by a linear method. The method should always be checked against the actual historical growth pattern rather than selected mechanically. Therefore Option A is correct.
వివరణ:
Question 8
ప్రశ్న 8
What is the principal assumption of the geometric increase method?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
The geometric method assumes that population increases by an approximately constant percentage during each equal interval. Each future increase therefore acts on a progressively larger population base. The mathematical form is compound growth, commonly written as Pn = P0(1 + r/100)^n. This method can produce much larger forecasts than the arithmetic method when continued over several decades. Therefore Option B is correct.
వివరణ:
Question 9
ప్రశ్న 9
A town had populations of 100,000 in 1991, 110,000 in 2001 and 121,000 in 2011. If the same 10 percent decadal growth rate is adopted geometrically, what population is forecast for 2031?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
The supplied populations show a 10 percent increase from 100,000 to 110,000 and again from 110,000 to 121,000. The 2031 forecast is two decades after 2011. Therefore P2031 = 121,000 × 1.10². This equals 146,410 persons. Therefore Option C is correct.
వివరణ:
Question 10
ప్రశ్న 10
Why should the geometric increase method be applied cautiously to a city that has recently experienced unusually rapid growth?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
Geometric forecasting compounds the selected growth percentage in every future interval. A temporarily high rate caused by industrial expansion, migration or boundary changes may not persist indefinitely. Continuing such a rate for many decades can therefore produce very large forecasts. Historical trends and likely future development constraints should be examined before adopting the rate. Therefore Option A is correct.
వివరణ:
Question 11
ప్రశ్న 11
What additional feature does the incremental increase method introduce beyond the arithmetic increase method?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
The arithmetic method uses only the average historical absolute increase. The incremental method additionally examines whether those absolute increases themselves have been rising or falling. The average incremental increase is therefore incorporated into future projections. This allows the forecast to represent a gradual acceleration or deceleration in the absolute amount of growth. Therefore Option A is correct.
వివరణ:
Question 12
ప్రశ్న 12
A town had populations of 80,000, 90,000, 103,000 and 119,000 in four successive censuses. What are the average decadal increase and average incremental increase?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
The successive population increases are 10,000, 13,000 and 16,000. Their average is 39,000/3 = 13,000 persons per decade. The successive incremental increases are 3,000 and 3,000. Their average is therefore 3,000 persons per decade per decade. Therefore Option A is correct.
వివరణ:
Question 13
ప్రశ్న 13
For the population sequence 80,000, 90,000, 103,000 and 119,000, use Pn = P0 + nX̄ + [n(n+1)/2]Ȳ with X̄ = 13,000 and Ȳ = 3,000. What is the population one decade after the latest census?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
For one future decade, n equals 1. The arithmetic component adds 1 × 13,000 to the latest population of 119,000. The incremental component is [1(2)/2] × 3,000 = 3,000. Therefore the forecast is 119,000 + 13,000 + 3,000 = 135,000. Therefore Option B is correct.
వివరణ:
Question 14
ప్రశ్న 14
Using the same data with P0 = 119,000, X̄ = 13,000 and Ȳ = 3,000, what population is forecast two decades later by the incremental increase method?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
For two future decades, n equals 2. The average-increase contribution is 2 × 13,000 = 26,000. The incremental contribution is [2(3)/2] × 3,000 = 9,000. The population is therefore 119,000 + 26,000 + 9,000 = 154,000. Therefore Option C is correct.
వివరణ:
Question 15
ప్రశ్న 15
What does a negative average incremental increase indicate in the incremental increase method?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
Incremental increase is the change from one absolute decadal increase to the next. A negative average value means those decadal additions have generally been becoming smaller. The incremental method can therefore reduce the future forecast relative to a simple arithmetic continuation. It does not necessarily imply that total population itself is decreasing, because the population may still be growing at a slowing rate. Therefore Option A is correct.
వివరణ:
Question 16
ప్రశ్న 16
What is the basic idea of the decreasing-rate-of-growth method?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
Many cities exhibit decreasing percentage growth as they become larger and more developed. The decreasing-rate method examines the historical reduction in percentage growth from one period to the next. A representative decrement is then used to reduce the projected future percentage rates. The method is therefore useful where declining percentage growth is a clear and persistent feature of the historical record. Therefore Option A is correct.
వివరణ:
Question 17
ప్రశ్న 17
A city's historical decadal percentage growth rates were 30%, 25%, 20% and 15%. If the average decrease of 5 percentage points per decade is continued for one more decade and the present population is 200,000, what population is forecast for the next census?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
The supplied growth rates decline by 5 percentage points during each successive decade. Continuing this pattern gives a projected next-decade growth rate of 10 percent. Ten percent of the current population of 200,000 is 20,000. The resulting forecast population is therefore 220,000. Therefore Option B is correct.
వివరణ:
Question 18
ప్రశ్న 18
What is done in the simple graphical method of population forecasting?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
The simple graphical method uses a plot of historical population against time. The observed trend is examined and extended to estimate future population. Engineering judgment is required because the extended trend is not determined by one fixed algebraic formula. Sudden historical events or boundary changes should be recognized before drawing the future trend. Therefore Option A is correct.
వివరణ:
Question 19
ప్రశ్న 19
How does a comparative graphical approach differ from a simple graphical projection?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
A comparative graphical approach considers how other cities with broadly similar development characteristics have grown. Their historical trajectories can provide context for the future path of the city being studied. The comparison should involve genuinely relevant cities rather than arbitrary examples. Local economic, geographic and planning differences must still be considered before adopting a projected curve. Therefore Option A is correct.
వివరణ:
Question 20
ప్రశ్న 20
For what type of long-term growth pattern is a logistic population model particularly appropriate?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
The logistic model represents growth that is initially relatively slow, becomes faster, and then slows as a limiting population is approached. This produces the characteristic S-shaped population curve. The limiting behavior can represent constraints such as available land, economic capacity or ultimate development potential. The method is therefore conceptually different from indefinitely extending constant arithmetic or geometric growth. Therefore Option A is correct.
వివరణ:
Question 21
ప్రశ్న 21
What is the principal basis of the population-density method used in urban population forecasting?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
The density method links population to the amount and type of land expected to be developed. Future density may be estimated from planning proposals, existing trends and development controls. The method can be particularly useful at ward or zone level where land availability differs significantly across the city. Current MoHUA guidance also emphasizes ward-wise population and density for estimating spatial water demand. Therefore Option A is correct.
వివరణ:
Question 22
ప్రశ్న 22
An urban planning area expected to be fully developed covers 24 km², and an average future population density of 6,000 persons/km² is adopted. What population does the density method give?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
Population density is population divided by area. Rearranging gives population equal to area multiplied by density. The forecast is therefore 24 × 6,000 = 144,000 persons. This numerical result is only as reliable as the adopted future developed area and density assumptions. Therefore Option C is correct.
వివరణ:
Question 23
ప్రశ్న 23
The latest known population is 150,000 and the average arithmetic increase is 12,000 persons per decade. Assuming uniform arithmetic growth, what population is forecast 15 years later?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
Fifteen years corresponds to 1.5 decades. The projected arithmetic increase is therefore 1.5 × 12,000 = 18,000 persons. Adding this to the latest population of 150,000 gives 168,000. This calculation assumes that the average absolute growth rate can be proportioned uniformly for the fractional decade. Therefore Option B is correct.
వివరణ:
Question 24
ప్రశ్న 24
A water-supply project adopts a forecast design population of 150,000 and an explicitly specified planning supply of 135 LPCD. What average daily water demand corresponds to the forecast population before separately stated additional allowances?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
Future water demand is obtained by combining the forecast population with the adopted per-capita planning rate. Multiplying 150,000 persons by 135 litres per person per day gives 20,250,000 litres per day. This is equivalent to 20.25 MLD. The calculation shows why the selected population forecast directly affects water-supply infrastructure sizing. Therefore Option C is correct.
వివరణ:
Question 25
ప్రశ్న 25
Which statement best reflects current good practice when several accepted population-forecasting methods produce materially different results?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
Different forecasting methods embody different assumptions about how population grows. Their results can diverge considerably over a long design horizon. Current CPHEEO-linked guidance therefore emphasizes selection according to the city's actual growth pattern and consultation with the ULB. Development plans, migration, land availability and major economic changes should also inform engineering judgment. Therefore Option C is correct.
వివరణ:
Question 26
ప్రశ్న 26
Consider the following statements about population forecasting for water supply: I. Arithmetic increase assumes approximately constant absolute growth. II. Geometric increase represents compounded percentage growth. III. Incremental increase considers the trend in successive absolute increases. IV. Current CPHEEO guidance recognizes several methods and recommends choosing a method suited to the city's growth pattern. Which option is correct?
Select an option first. || ముందుగా ఒక సమాధానాన్ని ఎంచుకోండి.
Explanation:
Statement I correctly describes the linear-growth assumption of the arithmetic method. Statement II correctly describes the compound percentage-growth assumption of the geometric method. Statement III correctly identifies the additional trend term incorporated by the incremental method. Statement IV is consistent with current MoHUA guidance referencing the CPHEEO Manual, which lists several forecasting methods and requires selection according to the city's growth pattern. Therefore all four statements are correct and Option D is the valid answer.
వివరణ:
Answer Key సమాధానాల పట్టిక
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Question 1 ప్రశ్న 1Answer: B. Because future population influences the quantities and capacities required during the design horizon సమాధానం: B.
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Question 2 ప్రశ్న 2Answer: B. Base, intermediate and ultimate years సమాధానం: B.
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Question 3 ప్రశ్న 3Answer: A. Births, deaths, migration and changes such as territorial annexation సమాధానం: A.
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Question 4 ప్రశ్న 4Answer: A. The absolute population increase per equal time interval remains approximately constant సమాధానం: A.
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Question 5 ప్రశ్న 5Answer: C. 14,000 సమాధానం: C.
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Question 6 ప్రశ్న 6Answer: B. 150,000 సమాధానం: B.
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Question 7 ప్రశ్న 7Answer: A. A mature city showing a reasonably stable absolute increase over successive decades సమాధానం: A.
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Question 8 ప్రశ్న 8Answer: B. A constant percentage growth rate is approximately maintained, so population growth is compounded సమాధానం: B.
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Question 9 ప్రశ్న 9Answer: C. 146,410 సమాధానం: C.
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Question 10 ప్రశ్న 10Answer: A. Because compound continuation of a high percentage rate can produce unrealistically large long-term forecasts if growth later moderates సమాధానం: A.
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Question 11 ప్రశ్న 11Answer: A. It considers the average change in successive absolute population increases సమాధానం: A.
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Question 12 ప్రశ్న 12Answer: A. 13,000 and 3,000 సమాధానం: A.
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Question 13 ప్రశ్న 13Answer: B. 135,000 సమాధానం: B.
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Question 14 ప్రశ్న 14Answer: C. 154,000 సమాధానం: C.
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Question 15 ప్రశ్న 15Answer: A. Successive absolute population increases are tending to decrease సమాధానం: A.
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Question 16 ప్రశ్న 16Answer: A. Future percentage growth rates are reduced in accordance with the observed historical decline in percentage growth సమాధానం: A.
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Question 17 ప్రశ్న 17Answer: B. 220,000 సమాధానం: B.
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Question 18 ప్రశ్న 18Answer: A. Historical population is plotted against time and a suitably judged trend is extended into the future సమాధానం: A.
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Question 19 ప్రశ్న 19Answer: A. It uses growth patterns of comparable cities or regions as additional evidence when projecting the subject city's future trend సమాధానం: A.
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Question 20 ప్రశ్న 20Answer: A. An S-shaped growth pattern in which rapid growth gradually slows as the population approaches a saturation level సమాధానం: A.
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Question 21 ప్రశ్న 21Answer: A. Forecast population is related to future developed area and an appropriate expected population density సమాధానం: A.
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Question 22 ప్రశ్న 22Answer: C. 144,000 సమాధానం: C.
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Question 23 ప్రశ్న 23Answer: B. 168,000 సమాధానం: B.
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Question 24 ప్రశ్న 24Answer: C. 20.25 MLD సమాధానం: C.
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Question 25 ప్రశ్న 25Answer: C. Select the method that best represents the city's historical growth pattern and expected development, supported by planning and ULB information సమాధానం: C.
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Question 26 ప్రశ్న 26Answer: D. I, II, III and IV సమాధానం: D.