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4. 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 students were $540$ , answer the following questions.

(i) In which subject did the student score 105 marks?

(Hint: for $540$ marks, the central angle $=360^{\circ}$ . So, for $105$ marks, what is the central angle?)

Answers (1)

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subject	central angle	marks obtained
mathematics	$90\degree$	$(90\degree\times 540)\div 360 = 135$
science	$80\degree$	$(80\degree\times 540)\div 360 = 120$
social science	$65\degree$	$(65\degree\times 540)\div 360 = 97.5$
english	$55\degree$	$(55\degree\times 540)\div 360 = 82.5$
hindi	$70\degree$	$(70\degree\times 540)\div 360 = 105$

(i) In hindi subject the student score 105 marks.

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seema garhwal

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