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Chapter 8 of 10
Practice Quiz

Index Numbers and Time Based Data

CBSE · Class 12 · Applied Mathematics

Practice quiz for Index Numbers and Time Based Data — CBSE Class 12 Applied Mathematics. MCQs and questions with answers to test your preparation.

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Quick Quiz: Index Numbers and Time Based Data

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1

If the price of rice was ₹40 per kg in 2020 and ₹50 per kg in 2023, what is the relative price index for 2023 with 2020 as the base year?

2

Calculate the simple aggregative price index for 2023 with 2020 as base year. Commodities: Rice (₹30 in 2020, ₹36 in 2023), Wheat (₹25 in 2020, ₹30 in 2023), Oil (₹100 in 2020, ₹120 in 2023).

3

The base period in an index number construction should ideally be:

4

In a 3-year moving average, if the values for years 2020, 2021, 2022 are 100, 120, 150 respectively, what is the moving average?

49 Questions·
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Sample Questions

1multiple correct

Which of the following are characteristics of Laspeyres' Index? (Select all correct answers)

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Uses base year quantities as weights, Formula: Σp₁Q₀/Σp₀Q₀ × 100, May overestimate cost of living changes

Laspeyres' Index uses base year quantities (Q₀) as fixed weights. The formula is Σp₁Q₀/Σp₀Q₀ × 100. It tends to overestimate price changes because it doesn't account for substitution effects. It does not satisfy the time reversal test.

2text answer

Calculate Laspeyres' price index for the data: Item A: p₀=₹10, p₁=₹12, q₀=5 units; Item B: p₀=₹20, p₁=₹25, q₀=3 units.

3text answer

If Fisher's Ideal Index is 115 and Laspeyres' Index is 120, what is Paasche's Index?

4multiple correct

Which of the following statements about time series components are correct? (Select all that apply)

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Secular trend shows long-term direction, Seasonal component repeats within a year, Cyclical component has periods longer than a year

Secular trend shows long-term movement. Seasonal patterns repeat annually. Cyclical patterns have periods > 1 year. Irregular components are random and unpredictable. Mathematical techniques can decompose time series into these components.

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What are the important topics in Index Numbers and Time Based Data for CBSE Class 12 Applied Mathematics?
Index Numbers and Time Based Data covers several key topics that are frequently asked in CBSE Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Index Numbers and Time Based Data — CBSE Class 12 Applied Mathematics?
Understand the core concepts first, then work through the 49 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

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