Which of the following statements about the Census of India is correct? MCQ with Answer and Explanation

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Which of the following statements about the Census of India is correct?

A. It does not collect literacy data.

B. It is conducted every 5 years.

C. It uses the de jure method of enumeration.

D. It covers only the rural population.

Answer: Option C

Solution (By JKSSB Mock Tests)

Indian census uses the de jure (usual residence) method. It is decennial, covers whole country, collects literacy.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

For two independent events A and B, P(A)=0.2, P(B)=0.5. P(A∪B) is:

A. 0.1

B. 0.7

C. 0.5

D. 0.6

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Correct Answer: Option D

Explanation:
P(A∪B) = 0.2+0.5 - (0.2×0.5) = 0.7 - 0.1 = 0.6.

This question belongs to: Accountancy and Statistics Statistics

Question #2

In a factory, machines A, B, and C produce 30%, 45%, and 25% of total output, with defect rates of 2%, 3%, and 4% respectively. If a randomly selected item is defective, the probability it was produced by machine B is approximately:

A. 0.45

B. 0.50

C. 0.43

D. 0.30

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Correct Answer: Option C

Explanation:
Using Bayes' theorem: P(B|Defective) = [P(Defective|B) × P(B)] / [Σ P(Defective|machine) × P(machine)] = (0.03×0.45) / (0.02×0.30 + 0.03×0.45 + 0.04×0.25) = 0.0135 / 0.0315 ≈ 0.4286 ≈ 0.43.

This question belongs to: Accountancy and Statistics Statistics

Question #3

The algebraic sum of the deviations of a set of values from their arithmetic mean is always:

A. Positive

B. Negative

C. Zero

D. Minimum

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Correct Answer: Option C

Explanation:
A fundamental property of the arithmetic mean is that the sum of deviations of items from the mean is identically zero.

This question belongs to: Accountancy and Statistics Statistics

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