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      Question

      The pie chart given below shows the number of cars sold

      in 6 countries. Number of cars sold in a particular country are shown as a percentage of total number of cars sold in these 6 countries. Which of the following statement(s) is/are correct? I. Difference between the total central angle formed by A and F and total central angle formed by C and D is 32.4 degrees. II. If the total number of cars sold in B, C and E is 12650, then the total number of cars sold in these 6 countries are 23000.
      A Only II Correct Answer Incorrect Answer
      B Only I Correct Answer Incorrect Answer
      C Neither I nor II Correct Answer Incorrect Answer
      D Both I and II Correct Answer Incorrect Answer

      Solution

      Statement I: The difference between the total central angle formed by A and F and the total central angle formed by C and D is 32.4 degrees. The central angle formed by A and F = (36/100) × 360 = 129.6 The central angle formed by C and D = (27/100) × 360 = 97.2 Difference = 129.6 - 97.2 = 32.4 Statement II: If the total number of cars sold in B, C, and E is 12650, then the total number of cars sold in these 6 countries is 23000. Total percentage of B, C and E = 55% of total = 12650 Then, total = 12650 × (100/55) = 23,000 ∴ From above both statements are true.

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