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
Correct Answer: Only I
Solution :
Sectors A, C, and D combinedly have a total 48% (7 + 32 + 9) portion of the central angle. Now, central Angle formed these 3 sectors together = $\frac{48}{100}×360°$ = 172.8°
So, statement I is incorrect.
Again, sectors B, E, F, and H combinedly have a total 47% (8 + 14 + 10 + 15) portion of the central angle. Now, central Angle formed these 4 sectors together = $\frac{47}{100}×360°$ = 169.2°
So, statement II is correct.
Hence, The correct answer is only I.
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