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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


Team Careers360 11th Jan, 2024
Answer (1)
Team Careers360 13th Jan, 2024

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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