Pie Chart: Exercise-2


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-charts carefully to answer the questions given below.


Percentage of students enrolled in different streams in a college.


Total number of students are 1500.


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


Total number of girl-students are 500.


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  1. What is the total number of boys enrolled in biology and math together?

    1. 220
    2. 250
    3. 260
    4. 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, $$ = 125 + 125 = 250 $$

  1. What is the respective ratio of number of girls enrolled in commerce to the number of boys enrolled in science?

    1. 2:1
    2. 3:2
    3. 1:2
    4. 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, $$ = 125 : 250 $$ $$ = 1 : 2 $$

  1. What is the total number of girls enrolled in history and arts together?

    1. 275
    2. 250
    3. 225
    4. 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, $$ = 75 + 200 $$ $$ = 275 $$

  1. If 20% of girls enrolled in commerce change their stream to history then what will be the new number of history students altogether?

    1. 175
    2. 165
    3. 145
    4. 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, $$ = 75 + 75 + 25 = 175 $$

  1. Number of girls enrolled in commerce, arts and history forms what percent of total number of students in the college?

    1. 25.21%
    2. 26.67%
    3. 24.22%
    4. 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, $$ = \frac{400}{1500} \times 100 $$ $$ = 26.67 \ \% $$