# Pie Chart: Exercise-8

#### Overview:

 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. 1. The total number of students in English is approximately what percent of the total number of female students in biology and physics together?

1. 216 %
2. 211 %
3. 210 %
4. 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 $$= \left[\frac{440}{141 + 63} \times 100\right] \ \%$$ $$= 215.68 \ \%$$ $$\approx 216 \ \%$$

1. What is the ratio of the number of male students in History to the number of female students in Hindi?

1. 29 : 79
2. 31 : 99
3. 23 : 59
4. 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 $$= \frac{124}{396}$$ $$= \frac{31}{99}$$ $$= 31 : 99$$

1. What is the difference between the total number of students in mathematics and the number of male students in physics?

1. 63
2. 65
3. 67
4. 69

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 $$= 220 - 157$$ $$= 63$$

1. How many female students are in college?

1. 1150
2. 1125
3. 1112
4. 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. $$= 396 + 251 + 206 + \\ 141 + 63 + 49$$ $$= 1106$$

1. What is the total number of male students in Hindi and female students in English?

1. 515
2. 510
3. 500
4. 496

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. $$= 264 + 251$$ $$= 515$$