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
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Correct Answer: Only II
Solution : According to the question The central angle formed by sectors A and C together: ⇒ Total central angle for A and C = $\frac{16+30}{100}\times 360°$= 165.6° ⇒ So, statement I is incorrect. The central angle formed by sectors B, D, and F = $\frac{24 + 5 + 21}{100}\times 360°$= 180° ⇒ Statement II is correct. Hence, the correct answer is Only II.
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