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.

**Percentage-wise distribution of Engineers in a company in terms of specialisation. The total number of Engineers = 5500.**

- What is the total number of engineers having specialisation in EE, ME, and AU?
- 2525
- 2420
- 2230
- 2210

Answer: (b) 2420

Solution: The total number of engineers having specialisation in EE.$$ = \left[\frac{18}{100} \times 5500\right] $$ $$ = 990 $$ The total number of engineers having specialisation in ME.$$ = \left[\frac{12}{100} \times 5500\right] $$ $$ = 660 $$ The total number of engineers having specialisation in AU.$$ = \left[\frac{14}{100} \times 5500\right] $$ $$ = 770 $$ Required total $$ = 990 + 660 + 770 $$ $$ = 2420 $$

Solution: The total number of engineers having specialisation in EE.$$ = \left[\frac{18}{100} \times 5500\right] $$ $$ = 990 $$ The total number of engineers having specialisation in ME.$$ = \left[\frac{12}{100} \times 5500\right] $$ $$ = 660 $$ The total number of engineers having specialisation in AU.$$ = \left[\frac{14}{100} \times 5500\right] $$ $$ = 770 $$ Required total $$ = 990 + 660 + 770 $$ $$ = 2420 $$

- The engineers having specialisation in CE is approximately what percent of engineers having specialisation in IT?
- 112.5 %
- 110.5 %
- 105.5 %
- 101.5 %

Answer: (a) 112.5 %

Solution: The total number of engineers having specialisation in CE.$$ = \left[\frac{18}{100} \times 5500\right] $$ $$ = 990 $$ The total number of engineers having specialisation in IT.$$ = \left[\frac{16}{100} \times 5500\right] $$ $$ = 880 $$ Required percentage $$ = \left[\frac{990}{880} \times 100\right] \ \% $$ $$ = 112.5 \ \% $$

Solution: The total number of engineers having specialisation in CE.$$ = \left[\frac{18}{100} \times 5500\right] $$ $$ = 990 $$ The total number of engineers having specialisation in IT.$$ = \left[\frac{16}{100} \times 5500\right] $$ $$ = 880 $$ Required percentage $$ = \left[\frac{990}{880} \times 100\right] \ \% $$ $$ = 112.5 \ \% $$

- What is the difference between the number of engineers having specialisation in CS and the number of engineers having specialisation in IT?
- 375
- 360
- 350
- 330

Answer: (d) 330

Solution: The total number of engineers having specialisation in CS.$$ = \left[\frac{22}{100} \times 5500\right] $$ $$ = 1210 $$ The total number of engineers having specialisation in IT.$$ = \left[\frac{16}{100} \times 5500\right] $$ $$ = 880 $$ Required difference $$ = 1210 - 880 $$ $$ = 330 $$

Solution: The total number of engineers having specialisation in CS.$$ = \left[\frac{22}{100} \times 5500\right] $$ $$ = 1210 $$ The total number of engineers having specialisation in IT.$$ = \left[\frac{16}{100} \times 5500\right] $$ $$ = 880 $$ Required difference $$ = 1210 - 880 $$ $$ = 330 $$

- What is the ration of the engineers having ME as specialisation to the engineers having AU as specialisation?
- 7 : 9
- 6 : 7
- 5 : 4
- 3 : 2

Answer: (b) 6 : 7

Solution: The total number of engineers having specialisation in ME.$$ = \left[\frac{12}{100} \times 5500\right] $$ $$ = 660 $$ The total number of engineers having specialisation in AU.$$ = \left[\frac{14}{100} \times 5500\right] $$ $$ = 770 $$ Required ratio $$ = \frac{660}{770} $$ $$ = \frac{6}{7} $$ $$ = 6 : 7 $$

Solution: The total number of engineers having specialisation in ME.$$ = \left[\frac{12}{100} \times 5500\right] $$ $$ = 660 $$ The total number of engineers having specialisation in AU.$$ = \left[\frac{14}{100} \times 5500\right] $$ $$ = 770 $$ Required ratio $$ = \frac{660}{770} $$ $$ = \frac{6}{7} $$ $$ = 6 : 7 $$

- The engineers having specialisation in CS is approximately what percent of engineers having specialisation in CE?
- 122 %
- 120 %
- 118 %
- 112 %

Answer: (a) 122 %

Solution: The total number of engineers having specialisation in CS.$$ = \left[\frac{22}{100} \times 5500\right] $$ $$ = 1210 $$ The total number of engineers having specialisation in CE.$$ = \left[\frac{18}{100} \times 5500\right] $$ $$ = 990 $$ Required percentage $$ = \left[\frac{1210}{990} \times 100\right] \ \% $$ $$ = 122.22 \ \% $$ $$ \approx 122 \ \% $$

Solution: The total number of engineers having specialisation in CS.$$ = \left[\frac{22}{100} \times 5500\right] $$ $$ = 1210 $$ The total number of engineers having specialisation in CE.$$ = \left[\frac{18}{100} \times 5500\right] $$ $$ = 990 $$ Required percentage $$ = \left[\frac{1210}{990} \times 100\right] \ \% $$ $$ = 122.22 \ \% $$ $$ \approx 122 \ \% $$