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Study the given line graph and answer the question that follows.The line graph shows the sales (in units) of motor bikes of five companies, 1, 2, 3, 4
Question

Study the given line graph and answer the question that follows.

The line graph shows the sales (in units) of motor bikes of five companies, 1, 2, 3, 4 and 5 over the years 2017 and 2018.

Which of the following statements regarding the sales represented in the graph is NOT true?

A.

The total sales of all the companies in 2018 are higher than that in 2017.

B.

For both the years together, company 5 has the lowest total sales among all companies.

C.

For both the years together, the average sales of Company 4 are lower than that of Company 3.

D.

Total sales for both years across all companies are 800 motor bikes.

Correct option is A

Given:

Sales Data (from the graph):

Company 1:

2017: 85 units

2018: 90 units

Company 2:

2017: 90 units

2018: 85 units

Company 3:

2017: 75 units

2018: 80 units

Company 4:

2017: 80 units

2018: 70 units

Company 5:

2017: 70 units

2018: 75 units

Solution:

Let's check each statement one by one:

Statement A: "The total sales of all the companies in 2018 are higher than that in 2017."

Total sales in 2017:
85 + 90 + 75 + 80 + 70 = 400 units

Total sales in 2018:
90 + 85 + 80 + 70 + 75 = 400 units

The total sales in 2018 are lower than in 2017.

So, Statement A is NOT true.

Statement B: "For both the years together, company 5 has the lowest total sales among all companies."

Sales for Company 5:

75 + 70 = 145 units

Sales for Company 1:

85 + 90= 175 units

Sales for Company 2:

90 + 85 = 175 units

Sales for Company 3:

75 + 80 = 155 units

Sales for Company 4:

80 + 70 = 150 units

Company 5 has the lowest total sales with 145 units.

So, Statement B is true.

Statement C: "For both the years together, the average sales of Company 4 are lower than that of Company 3."

Average sales for Company 3:
75+802=7\frac{ 75+80}{2} = 7​7.5 units

Average sales for Company 4:
80+702\frac{80 + 70}{2}​ = 75 units

Company 4 has lower average sales than Company 3.

So, Statement C is true.

Statement D: "Total sales for both years across all companies are 800 motor bikes."

Total sales for both years across all companies:
400 (2017) + 400 (2018) = 800 units

So, Statement D is true.

Conclusion:

The statement that is not true is Statement A.

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