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
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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