# Bar Diagrams: Exercise-2

#### 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: In the following bar chart, the number of total students enrolled in different years from 2012 to 2016 in two colleges A and B is given. Study the bar chart and solve the following questions based on this bar chart.

1. The total number of students enrolled in college B from 2013 to 2016 is approximately what percent more than the total number of students enrolled in college A in 2015 and 2016 together is?

1. 155%
2. 183%
3. 192%
4. 198%

Solution: Students enrolled in college B from 2013 to 2016, $$= 490 + 450 + 600 + 300$$ $$= 1840$$ Students enrolled in college A in 2015 and 2016, $$= 500 + 150 = 650$$ Required percentsge, $$= \frac{1840 - 650}{650} \times 100$$ $$= \frac{11900}{65}$$ $$= 183 \ \%$$

1. If from the year 2011 to 2012, there was 20% increase in total number of students enrolled in both colleges, then find the total number of students enrolled in 2011?

1. 556
2. 675
3. 617
4. 643

Solution: Total number of students enrolled in both colleges in 2011, $$= (290 + 450) \times \frac{100}{120}$$ $$= 740 \times \frac{100}{120}$$ $$= 616.67 \approx 617$$

1. The respective ratio between total students in both colleges in 2014 to total members in both colleges in 2015 is?

1. 26:59
2. 47:77
3. 83:110
4. 91:123

Solution: Total students in both colleges in 2014, $$= 380 + 450 = 830$$ total students in both colleges in 2015, $$= 500 + 600 = 1100$$ Required ratio, $$= 830 : 1100$$ $$= 83 : 110$$

1. The number of students of college B in 2012 is what percent of the number students of college A in 2015?

1. 80%
2. 90%
3. 100%
4. 110%

Solution: Required percentage, $$= \frac{450}{500} \times 100$$ $$= 90 \ \%$$

1. Total students enrolled in college A in the years 2013, 2014 and 2016 together is what percent less than the students enrolled in college B in the years 2012 and 2015 together?

1. 43.83%
2. 45.23%
3. 47.36%
4. 49.39%

Solution: Students enrolled in college A in the years 2013, 2014 and 2016 together, $$= 200 + 380 + 150$$ $$= 730$$ Students enrolled in college B in the years 2012 and 2015 together, $$= 450 + 600$$ $$= 1050$$ Required percentage, $$= \frac{1050 - 730}{730} \times 100$$ $$= \frac{3200}{73}$$ $$= 43.83 \ \%$$