CBSE Class 10 Maths (Standard) 2024 · Paper 30(B) · Question 38

Arithmetic Progressions 4 marks Medium

A road roller is a compactor-type engineering vehicle, used to compact soil, gravel, concrete, etc, in the construction of roads and foundations. They are also used at landfills or in agriculture. A company started making road rollers 10 years ago and increased its production uniformly by a fixed number every year. The company produces 800 rollers in the

6^{t h}

year and 1130 rollers in the

9^{t h}

year. Based on the above information, answer the following questions :

(i)What is the company's production in the first year?[1]
(ii)What was the increase in the company's production every year?[1]
(iii)(a)What was the company's production in the 8th year?[2]
(iii)(b)OR What was the company's total production in the first 6 years?[2]

Answer

(i) The first-year production is

250

rollers; (ii) The production increased by

110

rollers every year; (iii)(a) The 8th-year production was

1020

rollers; OR (iii)(b) The total production in the first 6 years was

3150

rollers.

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CBSE Class 10 Maths (Standard) 2024 · Paper 30(B) · Question 38

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