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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°. So, for 105 marks, what is the central angle?)(ii)     How many more marks were obtained by the student in Mathematics than in Hindi?(iii)    Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi (Hint: Just study the central angles).

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Sum of angles=`360^0`, 540 marks=`360^0`
`1^0`=540/360=3/2 marks.
1)Hindi angle for 105 marks=105/(3/2) =`70^0`
2)Marks in Maths =`90/360*540`=135 marks
Marks=135-105=30 marks.
3) Sum of angles( Maths and Social science )=`90^0+65^0=155^0` Sum of angles( Science and Hindi)= `80^0+70^0=150^0`
Yes, sum of maths and social science is more than science and hindi.

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