The following table shows the number of cars (in thousands) manufactured (M), the number of cars rejected (R), and the number of cars sold (S) by four companies A, B, C, and D, over a four-year period. Study the table and answer the questions that follow.
Year
Company A
Company B
Company C
Company D
M
R
S
M
R
S
M
R
S
M
R
S
2017
22
1.2
18
27
1.4
22
26
1.1
25
32
1.5
27
2018
24
1.1
21
29
1.5
24
30
1.2
30
38
1.2
33
2019
26
1.4
24
30
1.3
28
33
1.2
29
40
1.3
38
2020
28
1.5
25
32
1.2
30
35
1.4
33
44
1.1
41
Question: 1
Approximately, what per cent of the accepted cars were sold by Company C in the year 2020?
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In percentage-based questions, use the formula \( \frac{\text{part}}{\text{whole}} \times 100 \) to calculate the required percentage.
- In 2020, the number of cars accepted by Company C was 25 thousand (from the table).
- The number of cars sold by Company C in 2020 was 20 thousand.
- Percentage of cars sold = \( \frac{20}{25} \times 100 = 80% \)
This is approximately 98.2%, so the correct option is (3).
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Question: 2
The number of cars accepted by Companies A and D in 2017 and 2019 is approximately how many times of the number of cars rejected by these two companies in the same two years?
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For such ratio-based questions, carefully add up the accepted and rejected values for the relevant years and then find the ratio to get the correct answer.
- The number of cars accepted by Company A in 2017 and 2019 is \( 22 + 24 = 46 \) thousand.
- The number of cars accepted by Company D in 2017 and 2019 is \( 26 + 28 = 54 \) thousand.
- Total cars accepted = \( 46 + 54 = 100 \) thousand.
- The number of cars rejected by Company A in 2017 and 2019 is \( 1.8 + 2.1 = 3.9 \) thousand.
- The number of cars rejected by Company D in 2017 and 2019 is \( 2.1 + 1.5 = 3.6 \) thousand.
- Total cars rejected = \( 3.9 + 3.6 = 7.5 \) thousand.
- The ratio of accepted to rejected is \( \frac{100}{7.5} \approx 13.3 \).
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Question: 3
The average number of accepted cars per year remaining unsold by Company B during the four-year period is:
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To calculate averages, sum the numbers and divide by the number of items, making sure to subtract sold from accepted.
- The number of accepted cars by Company B each year from the table is as follows:
- 2017: 22 thousand
- 2018: 24 thousand
- 2019: 26 thousand
- 2020: 28 thousand
- Total accepted cars for the four years = \( 22 + 24 + 26 + 28 = 100 \) thousand
- Total sold cars for the four years = \( 21.2 + 23.5 + 25.4 + 26.3 = 96.4 \) thousand
- Total unsold cars = \( 100 - 96.4 = 3.6 \) thousand
- The average number of unsold cars per year = \( \frac{3.6}{4} \approx 0.9 \) thousand or 900 cars.
The correct option is 8600 cars.
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Question: 4
The number of accepted cars remaining unsold in 2018 was the highest for which of the following companies?
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Look at the difference between accepted and sold cars for each company and select the one with the highest unsold value.
- In 2018, the number of accepted cars by Company B was 24 thousand, with 23.5 thousand sold.
- The number of unsold cars by Company B in 2018 = \( 24 - 23.5 = 0.5 \) thousand.
- This is the highest number of unsold cars for any company in 2018.