Questions and Answers Type: | MCQ (Multiple Choice Questions). |

Main Topic: | Data Interpretation. |

Data Interpretation Sub-topic: | Pie Graph Questions and Answers. |

Number of Questions: | 5 Questions with Solutions. |

**Directions:** Study the following pie chart and table carefully and answer the questions given below it.

**Percentage-wise distribution of students in 6 different subject classes in a college. The total number of students = 2200.**

**The ratio of male and female students.**

- The total number of students in English is approximately what percent of the total number of female students in biology and physics together?
- 216 %
- 211 %
- 210 %
- 208 %

Answer: (a) 216 %

Solution: The total number of students in English.$$ = \left[\frac{20}{100} \times 2200\right] $$ $$ = 440 $$ The number of female students in biology.$$ = \left[\frac{15}{100} \times \frac{3}{7} \times 2200\right] $$ $$ = 141.42 $$ $$ \approx 141 $$ The number of female students in physics.$$ = \left[\frac{10}{100} \times \frac{2}{7} \times 2200\right] $$ $$ = 62.85 $$ $$ \approx 63 $$ Required percentage $$ = \left[\frac{440}{141 + 63} \times 100\right] \ \% $$ $$ = 215.68 \ \% $$ $$ \approx 216 \ \% $$

Solution: The total number of students in English.$$ = \left[\frac{20}{100} \times 2200\right] $$ $$ = 440 $$ The number of female students in biology.$$ = \left[\frac{15}{100} \times \frac{3}{7} \times 2200\right] $$ $$ = 141.42 $$ $$ \approx 141 $$ The number of female students in physics.$$ = \left[\frac{10}{100} \times \frac{2}{7} \times 2200\right] $$ $$ = 62.85 $$ $$ \approx 63 $$ Required percentage $$ = \left[\frac{440}{141 + 63} \times 100\right] \ \% $$ $$ = 215.68 \ \% $$ $$ \approx 216 \ \% $$

- What is the ratio of the number of male students in History to the number of female students in Hindi?
- 29 : 79
- 31 : 99
- 23 : 59
- 37 : 89

Answer: (b) 31 : 99

Solution: The number of male students in history.$$ = \left[\frac{15}{100} \times \frac{3}{8} \times 2200\right] $$ $$ = 123.75 $$ $$ \approx 124 $$ The number of female students in Hindi.$$ = \left[\frac{30}{100} \times \frac{3}{5} \times 2200\right] $$ $$ = 396 $$ Required ratio $$ = \frac{124}{396} $$ $$ = \frac{31}{99} $$ $$ = 31 : 99 $$

Solution: The number of male students in history.$$ = \left[\frac{15}{100} \times \frac{3}{8} \times 2200\right] $$ $$ = 123.75 $$ $$ \approx 124 $$ The number of female students in Hindi.$$ = \left[\frac{30}{100} \times \frac{3}{5} \times 2200\right] $$ $$ = 396 $$ Required ratio $$ = \frac{124}{396} $$ $$ = \frac{31}{99} $$ $$ = 31 : 99 $$

- What is the difference between the total number of students in mathematics and the number of male students in physics?
- 63
- 65
- 67
- 69

Answer: (a) 63

Solution: The total number of students in mathematics.$$ = \left[\frac{10}{100} \times 2200\right] $$ $$ = 220 $$ The number of male students in physics.$$ = \left[\frac{10}{100} \times \frac{5}{7} \times 2200\right] $$ $$ = 157.14 $$ $$ \approx 157 $$ Required difference $$ = 220 - 157 $$ $$ = 63 $$

Solution: The total number of students in mathematics.$$ = \left[\frac{10}{100} \times 2200\right] $$ $$ = 220 $$ The number of male students in physics.$$ = \left[\frac{10}{100} \times \frac{5}{7} \times 2200\right] $$ $$ = 157.14 $$ $$ \approx 157 $$ Required difference $$ = 220 - 157 $$ $$ = 63 $$

- How many female students are in college?
- 1150
- 1125
- 1112
- 1106

Answer: (d) 1106

Solution: The number of female students in each subject.$$ Hindi = \left[\frac{30}{100} \times \frac{3}{5} \times 2200\right] $$ $$ = 396 $$ $$ English = \left[\frac{20}{100} \times \frac{4}{7} \times 2200\right] $$ $$ = 251.42 $$ $$ \approx 251 $$ $$ History = \left[\frac{15}{100} \times \frac{5}{8} \times 2200\right] $$ $$ = 206.25 $$ $$ \approx 206 $$ $$ Biology = \left[\frac{15}{100} \times \frac{3}{7} \times 2200\right] $$ $$ = 141.42 $$ $$ \approx 141 $$ $$ Physics = \left[\frac{10}{100} \times \frac{2}{7} \times 2200\right] $$ $$ = 62.85 $$ $$ \approx 63 $$ $$ Mathematics = \left[\frac{10}{100} \times \frac{2}{9} \times 2200\right] $$ $$ = 48.88 $$ $$ \approx 49 $$ The total number of female students in the college. $$ = 396 + 251 + 206 + \\ 141 + 63 + 49 $$ $$ = 1106 $$

Solution: The number of female students in each subject.$$ Hindi = \left[\frac{30}{100} \times \frac{3}{5} \times 2200\right] $$ $$ = 396 $$ $$ English = \left[\frac{20}{100} \times \frac{4}{7} \times 2200\right] $$ $$ = 251.42 $$ $$ \approx 251 $$ $$ History = \left[\frac{15}{100} \times \frac{5}{8} \times 2200\right] $$ $$ = 206.25 $$ $$ \approx 206 $$ $$ Biology = \left[\frac{15}{100} \times \frac{3}{7} \times 2200\right] $$ $$ = 141.42 $$ $$ \approx 141 $$ $$ Physics = \left[\frac{10}{100} \times \frac{2}{7} \times 2200\right] $$ $$ = 62.85 $$ $$ \approx 63 $$ $$ Mathematics = \left[\frac{10}{100} \times \frac{2}{9} \times 2200\right] $$ $$ = 48.88 $$ $$ \approx 49 $$ The total number of female students in the college. $$ = 396 + 251 + 206 + \\ 141 + 63 + 49 $$ $$ = 1106 $$

- What is the total number of male students in Hindi and female students in English?
- 515
- 510
- 500
- 496

Answer: (a) 515

Solution: The number of male students in Hindi.$$ = \left[\frac{30}{100} \times \frac{2}{5} \times 2200\right] $$ $$ = 264 $$ The number of female students in English.$$ = \left[\frac{20}{100} \times \frac{4}{7} \times 2200\right] $$ $$ = 251.42 $$ $$ \approx 251 $$ Required total number of students. $$ = 264 + 251 $$ $$ = 515 $$

Solution: The number of male students in Hindi.$$ = \left[\frac{30}{100} \times \frac{2}{5} \times 2200\right] $$ $$ = 264 $$ The number of female students in English.$$ = \left[\frac{20}{100} \times \frac{4}{7} \times 2200\right] $$ $$ = 251.42 $$ $$ \approx 251 $$ Required total number of students. $$ = 264 + 251 $$ $$ = 515 $$