Question : The number of stations in four different cities A, B, C, and D is given below.
The angles made by the cities C and D on the pie chart are__________ degrees and________ degrees, respectively.
Option 1: 150, 70
Option 2: 70, 150
Option 3: 90, 120
Option 4: 120, 90
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Correct Answer: 120, 90
Solution :
Given: The number of stations in cities C and D is 1200 and 900 respectively.
Total number of stations = 700 + 800 + 900 + 1200 = 3600
Angle made by station $X = \frac{\text{The number of stations in city} X}{\text{Total number of stations in all cities}}\times 360^\circ$
Angle made by station C = $\frac{1200}{3600}\times 360^\circ=120^\circ$
Angle made by station D = $\frac{900}{3600}\times 360^\circ=90^\circ$
Hence, the correct answer is 120, 90.
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