The population of a country in 2020 was 100 million with a growth rate of 2% per year. Assuming exponential growth, the population in 2022 is approximately: MCQ with Answer and Explanation

The population of a country in 2020 was 100 million with a growth rate of 2% per year. Assuming exponential growth, the population in 2022 is approximately:
A. 104.04 million
B. 102 million
C. 108 million
D. 104 million
Answer: Option A
Solution (By JKExamLibrary)
Using compound formula: 100 × (1.02)^2 = 104.04 million.

This question belongs to: Accountancy and Statistics Statistics

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Question #1 Report Error
Standardized death rate by direct method is computed as:
A. Simple average of age-specific rates
B. Σ (m_x × P_sx) / Σ P_sx, where m_x are age-specific death rates of study population and P_sx are standard population age distribution
C. Σ (M_x × p_x) where M_x are standard rates
D. Crude death rate of standard population

Correct Answer: Option B


Explanation:
Direct standardization applies observed rates to a standard population structure.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
A set of values has mean 20. If each value is multiplied by 2 and then 5 is added, the new mean is:
A. 50
B. 25
C. 45
D. 40

Correct Answer: Option C


Explanation:
New mean = 2 × 20 + 5 = 45.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
A box contains 5 red and 3 green balls. Two balls are drawn without replacement. Probability that both are red is:
A. (5/8) × (3/7)
B. (5/8) × (4/7) = 5/14
C. (5/8)²
D. (5/8) + (4/7)

Correct Answer: Option B


Explanation:
First red: 5/8, second red given first red: 4/7. Product = 20/56 = 5/14.

This question belongs to: Accountancy and Statistics Statistics