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Question

The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the student were 540, what is the sum of the marks obtained in Science and Hindi?

A
105
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B
120
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C
225
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D
230
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Solution

The correct option is C 225
The central angles of the Science and Hindi are 80 and 70 respectively. Their sum is 80+70=150

Total marks obtained is 540 and it is representated by the total angle at the centre of the circle which is 360.

i.e., 360 represent 540 marks.
1 represents 540360 marks.
Since the angles of the sectors corresponding to Science and Hindi add up to 150, we have the total marks in Science and Hindi as:
Total marks=540360×150
=225 marks

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