Population Forecasting and Demand Questions and Answers

Q: The 'geometrical increase method' for the forecasting of population is:(Where, P = present population, i = yearly or per decade increase in population,Ia = Average arithmetical increase, Ic = Average incremental increase)

The geometrical increase method gives \(P_{n} = P(1+ (i/100))^{n}\).This method assumes the population grows by a constant percentage each decade, like compound interest. With present population P and average percentage growth rate i per decade, the population after n decades is:\[ P_n = P\left(1 + \frac{i}{100}\right)^{n} \]It suits young, rapidly growing towns. \(P + n \times i\) is the arithmetical increase method (constant absolute growth), and \(P + n(I_a + I_c)\) resembles the incremental increase method, which combines the average increase with the average incremental increase. The last option is not a recognised method.

What is the scale of water that is required for a city or town having a population of 50,000 to meet fire demand, as recommended by the Indian Standard, IS:9668-1990?

A.1500 litres per minute
B.1800 litres per minute
C.2200 litres per minute
D.2500 litres per minute

Exam Year(s)

DSSSB JE - 2023,

Answer: B

For a town of 50,000 population, IS 9668 recommends a fire demand of 1800 litres per minute for the scale of water to be kept available. The required quantity increases with the population served, so that bigger towns need larger fire flows. The values 1500, 2200 and 2500 litres per minute are not the figure that the code gives for this population, and they would apply to smaller or larger towns than the one named.

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The 'geometrical increase method' for the forecasting of population is:
(Where, P = present population, i = yearly or per decade increase in population,
I_a = Average arithmetical increase, I_c = Average incremental increase)

A.\(P_{n} = P + n*i\)
B.\(P_{n} = P + n (I_{a} + I_{c})\)
C.\(P_{n} = P(1+ (i/100))^{n}\)
D.\(P_{n} = P(I_{a} + (i/100)^{n})\)

Exam Year(s)

RSMSSB JE - 2025, RSMSSB - 2025,

Answer: C

The geometrical increase method gives \(P_{n} = P(1+ (i/100))^{n}\).

This method assumes the population grows by a constant percentage each decade, like compound interest. With present population P and average percentage growth rate i per decade, the population after n decades is:

\[ P_n = P\left(1 + \frac{i}{100}\right)^{n} \]

It suits young, rapidly growing towns. \(P + n \times i\) is the arithmetical increase method (constant absolute growth), and \(P + n(I_a + I_c)\) resembles the incremental increase method, which combines the average increase with the average incremental increase. The last option is not a recognised method.

Discuss in Forum

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Population Forecasting and Demand Questions and Answers

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