Question : The following pie chart gives the measures of the central angles of the sectors that reflect the number of questions in each of 8 different books with respect to the total number of questions in these 8 books taken together. If the number of questions in the books B3 and B6 taken together is 165, then what is the total number of questions in the 8 books taken together?
Option 1: 800
Option 2: 850
Option 3: 750
Option 4: 900
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Correct Answer: 900
Solution : As per the given figure, The number of questions in the books B3 and B6 taken together = 165 ⇒ B3 + B6 = 165 ⇒ 18° + 48° = 165 ⇒ 66° = 165 The total number of questions in the 8 books taken together = $\frac{165}{66°} × 360° $= 900 Hence, the correct answer is 900.
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