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Marks obtained by Sunita in her pre-board examination are as follows :

SubjectMarks
English72
Hindi84
Mathematics96
Science80
Social Science68

If a pie chart is constructed for the above data, then what will be the angle of the sector representing marks obtained by Sunita in Mathematics ?

  • A.75·6°
  • B.72°
  • C.86·4°
  • D.64·8°

Answer: C

The angle for Mathematics is 86.4°.

The total of all marks is 72 + 84 + 96 + 80 + 68 = 400. A sector's angle is its share of 360°:

\[ \theta = \frac{96}{400} \times 360^\circ = 86{\cdot}4^\circ \]

75.6° is the angle for Hindi (84 marks), 72° would be 80 marks out of 400, which is Science, and 64.8° is the angle for English (72 marks).

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