Question : The pie chart given below shows the number of boys in 8 schools. The total number of boys in all these 8 schools is 10000. The number of boys in a particular school is shown as a percent of the total number of boys in all these 8 schools. What is the ratio of the central angle formed by sectors C, D, and F together to the central angle formed by sectors A, G, and H together?
Option 1: 19 : 44
Option 2: 17 : 39
Option 3: 20 : 43
Option 4: 44 : 21
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Correct Answer: 20 : 43
Solution : Use the formula, $\text{Required angle}=\frac{\text{Percent of sector}}{100}\times 360º$ The angle of the sectors, C = $\frac{12}{100}\times 360º$ = 43.2º D = $\frac{2}{100}\times 360º$ = 7.2º F = $\frac{6}{100}\times 360º$ = 21.6º The central angle formed by sectors C, D, and F together = 43.2º + 7.2º + 21.6º = 72º The angle of the sectors, A = $\frac{19}{100}\times 360º$ = 68.4º G = $\frac{14}{100}\times 360º$ = 50.4º H = $\frac{10}{100}\times 360º$ = 36º The central angle formed by sectors A, G, and H together = 68.4º + 50.4º + 36º = 154.8º. The ratio of the central angle formed by sectors C, D, and F together to the central angle formed by sectors A, G, and H together = 72º : 154.8º = 20 : 43. Hence, the correct answer is 20 : 43.
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Question : The pie chart given below shows the number of cars sold by 8 different companies. The total number of cars sold by all these 8 companies is 1000. The number of cars sold by a particular company is shown as a percent of the total number of cars sold by all these 8 companies. What is the difference between the central angle formed by sectors A, B, and C together and the central angle formed by sectors E, F, and G together?
Option 1: 72.8°
Option 2: 88.4°
Option 3: 104.4°
Option 4: 102.6°
Question : The pie chart given below shows the number of bikes sold by 8 different companies. The total number of bikes sold by all these 8 different companies is 15,000. The number of bikes sold by a particular company is shown as a percent of the total number of bikes sold by all these 8 different companies.
Which of the following statements is NOT correct? I. The value of the central angle formed by sectors A, C, and D together is 170.8°. II. The value of the central angle formed by sectors B, E, F, and H together is 169.2°.
Option 1: Only I
Option 2: Only II
Option 3: Neither I nor II
Option 4: Both I and II
Question : The pie chart given below shows the number of students studying in six schools. Total number of students studying in all these six schools are 4000. The number of students studying in a particular school is shown as a percentage of the total number of students studying in all these six schools.
What is the difference between the central angle formed by sectors F and H together and the central angle formed by sectors I and G together?
Option 1: $9.6^{\circ}$
Option 2: $14.4^{\circ}$
Option 3: $17.4^{\circ}$
Option 4: $18.7^{\circ}$
Question : The pie chart given below shows the production of 6 different factories. The total production of all these 6 factories is 1400. The production of a particular factory is shown as a percent of the total production of all these 6 factories. Which of the following statements is correct? I. The central angle formed by sectors A and C together is 156.6°. II. The central angle formed by sectors B, D, and F together is 180°.
Option 1: Neither I nor II
Option 2: Only I
Option 3: Both I and II
Option 4: Only II
Question : The pie chart given below shows the number of boys in 8 schools. The total number of boys in all these 8 schools is 8000. The number of boys in a particular school is shown as a percent of the total number of boys in all these 8 schools. What is the sum of the average number of boys in P, R, T, and W and the average number of boys in Q and V?
Option 1: 2580
Option 2: 2180
Option 3: 2380
Option 4: 1980
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