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.**

- In which year the difference between the exports of companies A and B was maximum?
- 2013
- 2015
- 2013 and 2015
- 2012 and 2017

Answer: (c) 2013 and 2015

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.

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.

- In which year, the total exports of all the three companies together were the second highest?
- 2015
- 2016
- 2017
- 2018

Answer: (b) 2016

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.

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.

- 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?
- 85 %
- 87 %
- 89 %
- 92 %

Answer: (a) 85 %

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 $$ = \left[\frac{34}{40} \times 100\right] \ \% $$ $$ = 85 \ \% $$

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 $$ = \left[\frac{34}{40} \times 100\right] \ \% $$ $$ = 85 \ \% $$

- In how many of the given years the exports of company C were less than the average annual exports over the given years?
- 5
- 6
- 3
- 2

Answer: (d) 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.

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.

- What was the difference between the average exports of all the three companies A, B, and C in 2015 and 2016?
- 1.58 billion dollars
- 1.66 billion dollars
- 1.75 billion dollars
- 1.82 billion dollars

Answer: (b) 1.66 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 $$ = 40 - 38.34 $$ $$ = 1.66 \ billion \ dollars $$

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 $$ = 40 - 38.34 $$ $$ = 1.66 \ billion \ dollars $$