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.

- 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?
- 155%
- 183%
- 192%
- 198%

Answer: (b) 183%

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, $$ = \frac{1840 - 650}{650} \times 100 $$ $$ = \frac{11900}{65} $$ $$ = 183 \ \% $$

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, $$ = \frac{1840 - 650}{650} \times 100 $$ $$ = \frac{11900}{65} $$ $$ = 183 \ \% $$

- 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?
- 556
- 675
- 617
- 643

Answer: (c) 617

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

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

- The respective ratio between total students in both colleges in 2014 to total members in both colleges in 2015 is?
- 26:59
- 47:77
- 83:110
- 91:123

Answer: (c) 83:110

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

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

- The number of students of college B in 2012 is what percent of the number students of college A in 2015?
- 80%
- 90%
- 100%
- 110%

Answer: (b) 90%

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

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

- 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?
- 43.83%
- 45.23%
- 47.36%
- 49.39%

Answer: (a) 43.83%

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, $$ = \frac{1050 - 730}{730} \times 100 $$ $$ = \frac{3200}{73} $$ $$ = 43.83 \ \% $$

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, $$ = \frac{1050 - 730}{730} \times 100 $$ $$ = \frac{3200}{73} $$ $$ = 43.83 \ \% $$