Assertion (A) and Reason (R) are given below. Choose the correct option: Assertion (A): Population growth can be measured in absolute numbers and percentage change per year. Reason (R): Measuring growth only in absolute numbers provides detailed insights into population trends over time.
- (a)Both A and R are true, and R is the correct explanation of A
- (b)Both A and R are true, but R is not the correct explanation of A
- (c)A is true, but R is false
- (d)A is false, but R is true
Answer
Why
Correct — C. A is true. Population growth can be stated as an absolute increase, the later population minus the earlier one, or as a rate, the percentage change per year.
R is false. Absolute numbers alone hide the pace of change. A large population can add more people each year even while its growth rate falls, so both measures are needed to read trends.
Why the others are wrong
- (a)Both A and R are true, and R is the correct explanation of A — R is false, so it cannot explain A. Absolute numbers alone miss the growth rate, which is why A lists two measures.
- (b)Both A and R are true, but R is not the correct explanation of A — Needs R to be true. The word only sinks it: an absolute increase without the percentage rate gives an incomplete picture of trends.
- (d)A is false, but R is true — Reverses the truth values. Measuring growth both in absolute numbers and as a percentage per year is standard, so A is true.
Concept
Two populations can add similar numbers of people while growing at very different speeds.
Take 2% a year on 100 crore: 2 crore added. Take 3% a year on 50 crore: 1.5 crore added. The slower-growing population adds more people.
That is why growth is reported both as the absolute increase and as the annual growth rate: one gives the size of the change, the other its pace.
Key facts
- Absolute increase = later population − earlier population.
- The annual growth rate is the increase per year expressed as a percentage of the base population.
- A falling growth rate can still add more people each year when the base population is large.
Study next
Common traps
- Choosing option (a) because both statements mention absolute numbers, when R's word 'only' makes it false.
Population growth models are asked at 23 Sep 2024, 16:00, GA Q.24 (Verhulst's logistic equation of 1838). Population growth's effect on per capita income is asked at 26 Sep 2024, 16:00, GA Q.22.
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