# Pie Chart: Exercise-9

#### 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 and answer the questions given below it.

Distribution of students at undergraduate and graduate levels in six universities A, B, C, D, E, and F.

Percentage-wise distribution of students at the under-graduate level in six different universities. The total number of undergraduate-level students = 18500.

Percentage-wise distribution of students at the graduate level in six different universities. The total number of graduate-level students = 15000.

1. How many students are studying in university E?

1. 6025
2. 5820
3. 6250
4. 5525

Solution: The total number of undergraduate-level students is studying at university E.$$= \left[\frac{20}{100} \times 18500\right]$$ $$= 3700$$ The total number of graduate-level students is studying at university E.$$= \left[\frac{17}{100} \times 15000\right]$$ $$= 2550$$ Hence the total number of students is studying at university E.$$= 3700 + 2550$$ $$= 6250$$

1. How many students of university D and F are studying at the undergraduate level?

1. 4010
2. 4070
3. 4110
4. 4190

Solution: The total number of students in university D is studying at the undergraduate level. $$= \left[\frac{10}{100} \times 18500\right]$$ $$= 1850$$ The total number of students at university F are studying at the undergraduate level. $$= \left[\frac{12}{100} \times 18500\right]$$ $$= 2220$$ Hence the total number of students in universities D and F are studying at the undergraduate level.$$= 1850 + 2220$$ $$= 4070$$

1. What is the total number of under-graduate level students in university A and graduate-level students in university C?

1. 6400
2. 6250
3. 6220
4. 6170

Solution: The total number of under-graduate level students in university A.$$= \left[\frac{20}{100} \times 18500\right]$$ $$= 3700$$ The total number of graduate-level students in university C.$$= \left[\frac{18}{100} \times 15000\right]$$ $$= 2700$$ Hence required total. $$= 3700 + 2700$$ $$= 6400$$

1. What is the ratio between the number of students studying at the graduate level in university D and the number of students studying at the under-graduate level in the same university?

1. 72 : 37
2. 77 : 34
3. 79 : 39
4. 83 : 43

Solution: The total number of students studying at the graduate level in university D. $$= \left[\frac{24}{100} \times 15000\right]$$ $$= 3600$$ The total number of students studying at the under-graduate level in university D. $$= \left[\frac{10}{100} \times 18500\right]$$ $$= 1850$$ Hence the required ratio. $$= \frac{3600}{1850}$$ $$= \frac{72}{37}$$ $$= 72 : 37$$

1. What is the ratio between the number of students studying at the graduate level in university F and the number of students studying at the under-graduate level in university B?

1. 127 : 134
2. 137 : 151
3. 135 : 148
4. 143 : 153

Solution: The total number of students studying at the graduate level in university F. $$= \left[\frac{18}{100} \times 15000\right]$$ $$= 2700$$ The total number of students studying at the under-graduate level in university B. $$= \left[\frac{16}{100} \times 18500\right]$$ $$= 2960$$ Hence the required ratio. $$= \frac{2700}{2960}$$ $$= \frac{135}{148}$$ $$= 135 : 148$$