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The following table shows the number of different fruits kept in a carton :

Type of fruitsMangoesApplesOrangesGuavasPome-granates
Number4456423038

If a pie chart is constructed for the above data, what will be the angle of the sector representing apples ?

  • A.79.2°
  • B.72°
  • C.96°
  • D.100.8°

Answer: C

The angle for apples is 96°.

The total number of fruits is 44 + 56 + 42 + 30 + 38 = 210. Each sector's angle is its share of 360°:

\[ \frac{56}{210} \times 360^{\circ} = 96^{\circ} \]

79.2° and 100.8° would be the angles for 46.2 and 58.8 fruits, and 72° corresponds to 42 fruits, the oranges, so each of those belongs to a different count or a slip in the total.

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