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Topic Question Set

Q 31 :

A road roller, often called a roller compactor or just a roller, is an engineering vehicle used to compact soil, gravel, concrete, or asphalt in the construction of roads and foundations. Similar machines are also used in landfills or agriculture. Past records of a road roller manufacturing company show that the number of products produced forms an arithmetic progression (AP).
The company produced 270 road rollers in the 4th year and 510 in the 10th year.

Based on the above information, answer the following questions

 

(iii) (a) What was the company’s total production of the first 6 years?

  • 1500

     

  • 1400

     

  • 1300

     

  • 1100

     

(1)

Total production of the first six years is given by

S₆ = 6/2 (2 × 150 + (6 − 1) × 40)      = 3 (300 + 200) = 1500 [Sn=n2(2a+(n-1)d)] 

 

Q 32 :

A road roller, often called a roller compactor or just a roller, is an engineering vehicle used to compact soil, gravel, concrete, or asphalt in the construction of roads and foundations. Similar machines are also used in landfills or agriculture. Past records of a road roller manufacturing company show that the number of products produced forms an arithmetic progression (AP).
The company produced 270 road rollers in the 4th year and 510 in the 10th year.

Based on the above information, answer the following questions

 

(iii) (b) What was the increase in the company’s production every year?

  • 30 dollers

     

  • 25 dollers

     

  • 35 dollers

     

  • 40 dollers

     

(4)

The increase in the company’s production every year is: 

d=40" rollers."