Which of the following are true for the given chart?
A. 40,000 is difference in manufacturing in C and B in year 2016-2017. B. 20,000 is the difference between the total production of C and B in the given years. C. 20\% is decrease in car manufacturing by A from 2016 to 2017. D. Approx. 11\% increased in manufacturing by B from 2018-2019. E. 2,10,000 is the average manufacturing of cars by A over the year. Choose the correct answer from the options given below:
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To quickly verify Statement E:
The sum is 840. Dividing 840 by 4 yields exactly 210. This confirms Statement E is correct and eliminates any options that do not include E, leaving only (B) and (C).
• Step 1: Understanding the Question: This question requires interpreting a multi-line graph showcasing car production by three companies (A, B, and C) over four years (2016 to 2019). We need to extract the precise data values from the graph to evaluate statements A, B, C, D, and E.
• Step 2: Key Formula or Approach:
Let A be represented by the solid line with circle markers, B by the line with triangle markers, and C by the line with square markers.
- For Company A:
2016 = 200, 2017 = 160, 2018 = 230, 2019 = 250 (in thousands)
- For Company B:
2016 = 180, 2017 = 210, 2018 = 180, 2019 = 200 (in thousands)
- For Company C:
2016 = 210, 2017 = 190, 2018 = 210, 2019 = 180 (in thousands)
• Step 3: Detailed Explanation:
Let us evaluate each statement based on these values:
- Statement A: "40,000 is difference in manufacturing in C and B in year 2016-2017."
In 2016, B = 180, C = 210 (diff = 30).
In 2017, B = 210, C = 190 (diff = 20).
Neither difference is 40,000. (False)
- Statement B: "20,000 is the difference between the total production of C and B in the given years."
Total B = \(180 + 210 + 180 + 200 = 770 \text{ thousand}\).
Total C = \(210 + 190 + 210 + 180 = 790 \text{ thousand}\).
Difference = \(790 - 770 = 20 \text{ thousand} = 20,000\). (True)
- Statement C: "20% is decrease in car manufacturing by A from 2016 to 2017."
In 2016, A = 200. In 2017, A = 160.
Decrease = \(200 - 160 = 40\).
Percentage Decrease:
\[ \frac{40}{200} \times 100 = 20\% \]
This is correct. (True)
- Statement D: "Approx. 11% increased in manufacturing by B from 2018-2019."
In 2018, B = 180. In 2019, B = 200.
Increase = \(200 - 180 = 20\).
Percentage Increase:
\[ \frac{20}{180} \times 100 \approx 11.11\% \approx 11\% \]
This is correct. (True)
- Statement E: "2,10,000 is the average manufacturing of cars by A over the year."
Total production for A = \(200 + 160 + 230 + 250 = 840 \text{ thousand}\).
Average manufacturing:
\[ \frac{840}{4} = 210 \text{ thousand} = 2,10,000 \]
This is correct. (True)
Thus, statements B, C, D, and E are correct.
• Step 4: Final Answer: Statements C, B, D, and E are correct, which corresponds to option (C).
