# Bar Diagrams: Exercise-8

#### Overview:

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

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

Production of medicine doses (in millions) by companies A, B, and C over the years. 1. What is the percentage increase in the production of company B from the year 2015 to 2019?

1. 90 %
2. 110 %
3. 120 %
4. 140 %

Answer: (d) 140 %

Solution: Percentage increase in the production of company B from the year 2015 to 2019. $$= \left[\frac{60 - 25}{25} \times 100\right] \ \%$$ $$= \left[\frac{35}{25} \times 100\right] \ \%$$ $$= 140 \ \%$$

1. Find the company with the maximum average production of medicine over the years?

1. A and C
2. C
3. A
4. B

Answer: (b) Company C

Solution: Average production of medicines of companies A, B, and C over the years. $$A = \frac{1}{5} \ (30 + 40 + 50 + 45 + 55)$$ $$= \frac{1}{5} \times 220$$ $$= 44 \ million \ Doses$$ $$B = \frac{1}{5} \ (25 + 30 + 45 + 50 + 60)$$ $$= \frac{1}{5} \times 210$$ $$= 42 \ million \ Doses$$ $$C = \frac{1}{5} \ (35 + 50 + 40 + 55 + 50)$$ $$= \frac{1}{5} \times 230$$ $$= 46 \ million \ Doses$$ Hence, the average production of company C was maximum over the years.

1. What is the difference between the production of company C in 2018 and company B in 2015?

1. 30 Million doses
2. 32 Million doses
3. 34 Million doses
4. 37 Million doses

Answer: (a) 30 Million doses

Solution: Difference between the production of company C in 2018 and company B in 2015. $$= 55 - 25$$ $$= 30 \ Million \ doses$$

1. In which year, the percentage rise in the production of medicine from the previous year was the minimum for company B?

1. 2016
2. 2017
3. 2018
4. 2019

Solution: Percentage increase in the production of medicines of company B in comparison to the previous year. $$2016 = \left[\frac{30 - 25}{25} \times 100\right] \ \%$$ $$= 20 \ \%$$ $$2017 = \left[\frac{45 - 30}{30} \times 100\right] \ \%$$ $$= 50 \ \%$$ $$2018 = \left[\frac{50 - 45}{45} \times 100\right] \ \%$$ $$= 11.12 \ \%$$ $$2019 = \left[\frac{60 - 50}{50} \times 100\right] \ \%$$ $$= 20 \ \%$$ Hence the production of company B was minimum in 2018 (11.12 %).

1. What is the ratio of the average production of company A during the period 2016-17 to the average production of company B during the same period?

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

Solution: Average production of company A during 2016-17.$$= \frac{1}{2} \ (40 + 50)$$ $$= 45 \ million \ doses$$ Average production of company B during 2016-17.$$= \frac{1}{2} \ (30 + 45)$$ $$= 37.5 \ million \ doses$$ Required ratio $$= \frac{45}{37.5}$$ $$= \frac{6}{5}$$ $$= 6:5$$