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-charts carefully to answer the questions given below.

Percentage of students enrolled in different streams in a college.

**Total number of students are 1500.**

Percentage of girl-students enrolled in different streams in the college.

**Total number of girl-students are 500.**

- What is the total number of boys enrolled in biology and math together?
- 220
- 250
- 260
- 280

Answer: (b) 250

Solution: Number of girls enrolled in biology, $$ = 500 \times \frac{5}{100} = 25 $$ Number of boys enrolled in biology, $$ = \left(1500 \times \frac{10}{100} - 25\right) $$ $$ = 125 $$ Number of girls enrolled in math, $$ = 500 \times \frac{5}{100} = 25 $$ Number of boys enrolled in math, $$ = \left(1500 \times \frac{10}{100} - 25\right) $$ $$ = 125 $$ Then, total number of boys enrolled in biology and math together, $$ = 125 + 125 = 250 $$

Solution: Number of girls enrolled in biology, $$ = 500 \times \frac{5}{100} = 25 $$ Number of boys enrolled in biology, $$ = \left(1500 \times \frac{10}{100} - 25\right) $$ $$ = 125 $$ Number of girls enrolled in math, $$ = 500 \times \frac{5}{100} = 25 $$ Number of boys enrolled in math, $$ = \left(1500 \times \frac{10}{100} - 25\right) $$ $$ = 125 $$ Then, total number of boys enrolled in biology and math together, $$ = 125 + 125 = 250 $$

- What is the respective ratio of number of girls enrolled in commerce to the number of boys enrolled in science?
- 2:1
- 3:2
- 1:2
- 2:3

Answer: (c) 1:2

Solution: Number of girls enrolled in commerce, $$ = 500 \times \frac{25}{100} = 125 $$ Number of girls enrolled in science, $$ = 500 \times \frac{10}{100} = 50 $$ Number of boys enrolled in science, $$ = \left(1500 \times \frac{20}{100} - 50\right) $$ $$ = 250 $$ Then, respective ratio, $$ = 125 : 250 $$ $$ = 1 : 2 $$

Solution: Number of girls enrolled in commerce, $$ = 500 \times \frac{25}{100} = 125 $$ Number of girls enrolled in science, $$ = 500 \times \frac{10}{100} = 50 $$ Number of boys enrolled in science, $$ = \left(1500 \times \frac{20}{100} - 50\right) $$ $$ = 250 $$ Then, respective ratio, $$ = 125 : 250 $$ $$ = 1 : 2 $$

- What is the total number of girls enrolled in history and arts together?
- 275
- 250
- 225
- 215

Answer: (a) 275

Solution: Number of girls enrolled in history, $$ = 500 \times \frac{15}{100} = 75 $$ Number of girls enrolled in arts, $$ = 500 \times \frac{40}{100} = 200 $$ Then, total number of girls enrolled in history and arts together, $$ = 75 + 200 $$ $$ = 275 $$

Solution: Number of girls enrolled in history, $$ = 500 \times \frac{15}{100} = 75 $$ Number of girls enrolled in arts, $$ = 500 \times \frac{40}{100} = 200 $$ Then, total number of girls enrolled in history and arts together, $$ = 75 + 200 $$ $$ = 275 $$

- If 20% of girls enrolled in commerce change their stream to history then what will be the new number of history students altogether?
- 175
- 165
- 145
- 125

Answer: (a) 175

Solution: Number of girls enrolled in history, $$ = 500 \times \frac{15}{100} = 75 $$ Number of boys enrolled in history, $$ = \left(1500 \times \frac{10}{100} - 75\right) $$ $$ = 75 $$ Number of girls enrolled in commerce, $$ = 500 \times \frac{25}{100} = 125 $$ 20% girls enrolled in commerce change their stream to history, $$ = 125 \times \frac{20}{100} = 25 $$ Then, the new number of history students altogether, $$ = 75 + 75 + 25 = 175 $$

Solution: Number of girls enrolled in history, $$ = 500 \times \frac{15}{100} = 75 $$ Number of boys enrolled in history, $$ = \left(1500 \times \frac{10}{100} - 75\right) $$ $$ = 75 $$ Number of girls enrolled in commerce, $$ = 500 \times \frac{25}{100} = 125 $$ 20% girls enrolled in commerce change their stream to history, $$ = 125 \times \frac{20}{100} = 25 $$ Then, the new number of history students altogether, $$ = 75 + 75 + 25 = 175 $$

- Number of girls enrolled in commerce, arts and history forms what percent of total number of students in the college?
- 25.21%
- 26.67%
- 24.22%
- 21.34%

Answer: (b) 26.67%

Solution: Number of girls enrolled in commerce, $$ = 500 \times \frac{25}{100} = 125 $$ Number of girls enrolled in arts, $$ = 500 \times \frac{40}{100} = 200 $$ Number of girls enrolled in history, $$ = 500 \times \frac{15}{100} = 75 $$ Then, total number of girls enrolled in commerce, arts and history together, $$ = 125 + 200 + 75 = 400 $$ now, required percentage, $$ = \frac{400}{1500} \times 100 $$ $$ = 26.67 \ \% $$

Solution: Number of girls enrolled in commerce, $$ = 500 \times \frac{25}{100} = 125 $$ Number of girls enrolled in arts, $$ = 500 \times \frac{40}{100} = 200 $$ Number of girls enrolled in history, $$ = 500 \times \frac{15}{100} = 75 $$ Then, total number of girls enrolled in commerce, arts and history together, $$ = 125 + 200 + 75 = 400 $$ now, required percentage, $$ = \frac{400}{1500} \times 100 $$ $$ = 26.67 \ \% $$