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.**

- How many students are studying in university E?
- 6025
- 5820
- 6250
- 5525

Answer: (c) 6250

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.$$ = 3700 + 2550 $$ $$ = 6250 $$

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.$$ = 3700 + 2550 $$ $$ = 6250 $$

- How many students of university D and F are studying at the undergraduate level?
- 4010
- 4070
- 4110
- 4190

Answer: (b) 4070

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.$$ = 1850 + 2220 $$ $$ = 4070 $$

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.$$ = 1850 + 2220 $$ $$ = 4070 $$

- What is the total number of under-graduate level students in university A and graduate-level students in university C?
- 6400
- 6250
- 6220
- 6170

Answer: (a) 6400

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. $$ = 3700 + 2700 $$ $$ = 6400 $$

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. $$ = 3700 + 2700 $$ $$ = 6400 $$

- 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?
- 72 : 37
- 77 : 34
- 79 : 39
- 83 : 43

Answer: (a) 72 : 37

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. $$ = \frac{3600}{1850} $$ $$ = \frac{72}{37} $$ $$ = 72 : 37 $$

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. $$ = \frac{3600}{1850} $$ $$ = \frac{72}{37} $$ $$ = 72 : 37 $$

- 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?
- 127 : 134
- 137 : 151
- 135 : 148
- 143 : 153

Answer: (c) 135 : 148

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. $$ = \frac{2700}{2960} $$ $$ = \frac{135}{148} $$ $$ = 135 : 148 $$

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. $$ = \frac{2700}{2960} $$ $$ = \frac{135}{148} $$ $$ = 135 : 148 $$