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.



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The ratio of male and female students.



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  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


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

  1. How many female students are in college?

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

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

    1. 515
    2. 510
    3. 500
    4. 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. $$ = 264 + 251 $$ $$ = 515 $$