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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 students were 540, answer the following questions. (i) In which subject did the student score 105 marks?

Solution:

(i)Total marks obtained=540
540° represents 360°
∴The central angle for 105 marks:= 105/540 × 360° = 70°
Hindi's central angle is 70°
∴Student scored 105 marks in Hindi
(ii)Difference between central angles of Maths and Hindi → 90° - 70° → 20°
Marks for 20° central angles= 20/360 × 540° = 30°
∴30 more marks were obtained by student in maths than in hindi
(iii)Sum of central angles of social science and maths= 65° + 90° = 155°
Sum of central angles of Science and Hindi= 80° + 70° = 150°
Sum of central angles for social Science and Mathematics > Science and Hindi.