# Line Graph: Exercise-9

#### Overview:

 Questions and Answers Type: MCQ (Multiple Choice Questions). Main Topic: Data Interpretation. Data Interpretation Sub-topic: Line Graph Questions and Answers. Number of Questions: 5 Questions with Solutions.

Directions: Study the following graph carefully and answer the questions given below it.

Exports (in billion dollars) of three companies A, B, and C in various years.

1. In which year the difference between the exports of companies A and B was maximum?

1. 2013
2. 2015
3. 2013 and 2015
4. 2012 and 2017

Solution: The difference of exports of companies A and B in various years.$$2011 = 20 - 15$$ $$= 5 \ billion \ dollars$$ $$2012 = 30 - 20$$ $$= 10 \ billion \ dollars$$ $$2013 = 40 - 25$$ $$= 15 \ billion \ dollars$$ $$2014 = 40 - 30$$ $$= 10 \ billion \ dollars$$ $$2015 = 45 - 30$$ $$= 15 \ billion \ dollars$$ $$2016 = 45 - 40$$ $$= 5 \ billion \ dollars$$ $$2017 = 50 - 40$$ $$= 10 \ billion \ dollars$$ $$2018 = 50 - 45$$ $$= 5 \ billion \ dollars$$ Hence the maximum difference between the exports of companies A and B was in 2013 and 2015.

1. In which year, the total exports of all the three companies together were the second highest?

1. 2015
2. 2016
3. 2017
4. 2018

Solution: The total exports of companies A, B, and C in various years.$$2011 = 15 + 20 + 10$$ $$= 45 \ billion \ dollars$$ $$2012 = 20 + 30 + 25$$ $$= 75 \ billion \ dollars$$ $$2013 = 25 + 40 + 35$$ $$= 100 \ billion \ dollars$$ $$2014 = 30 + 40 + 45$$ $$= 115 \ billion \ dollars$$ $$2015 = 30 + 45 + 40$$ $$= 115 \ billion \ dollars$$ $$2016 = 40 + 45 + 35$$ $$= 120 \ billion \ dollars$$ $$2017 = 40 + 50 + 45$$ $$= 135 \ billion \ dollars$$ $$2018 = 45 + 50 + 40$$ $$= 135 \ billion \ dollars$$ Hence in the year 2016, the total exports of all three companies together were the second highest.

1. The average annual exports during the given period of company C was approximately what percent of the average annual exports of company B during the same period?

1. 85 %
2. 87 %
3. 89 %
4. 92 %

Solution: The average annual exports of company C during the given period.$$= \frac{275}{8}$$ $$= 34.375 \ billion \ dollars$$ $$\approx 34 \ billion \ dollars$$ The average annual exports of company B during the given period.$$= \frac{320}{8}$$ $$= 40 \ billion \ dollars$$ Required percentage $$= \left[\frac{34}{40} \times 100\right] \ \%$$ $$= 85 \ \%$$

1. In how many of the given years the exports of company C were less than the average annual exports over the given years?

1. 5
2. 6
3. 3
4. 2

Solution: The average annual exports of company C during the given period.$$= \frac{275}{8}$$ $$= 34.375 \ billion \ dollars$$ Hence in the years 2011 and 2012, the exports of company C were less than the average annual exports of the company.

1. What was the difference between the average exports of all the three companies A, B, and C in 2015 and 2016?

1. 1.58 billion dollars
2. 1.66 billion dollars
3. 1.75 billion dollars
4. 1.82 billion dollars

Solution: The average exports of all companies in 2015. $$= \frac{30 + 40 + 45}{3}$$ $$= \frac{115}{3}$$ $$= 38.34 \ billion \ dollars$$ The average exports of all companies in 2016. $$= \frac{35 + 40 + 45}{3}$$ $$= \frac{120}{3}$$ $$= 40 \ billion \ dollars$$ Required difference $$= 40 - 38.34$$ $$= 1.66 \ billion \ dollars$$