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Question -

The adjoining pie chart gives the marks scored in an examination bV a student in Hindi, Eng,ish, Mathemahcs, 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?
        (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.)



Answer -

(i) For 540 marks, the central angle = 360°
                ∴ For 1 mark, the central angle
                 
        Hence, from the given pie chart, the subject is Hindi.
        (i)   Difference between the central angles made by the subject of Mathematics and Hindi
                = 90° – 70° – 20°.
                For the central angle of 360°, marks obtained
                = 540
                For the central angle of 1°, marks obtained
                 
                For the central angle of 20°, marks obtained
                Hence, 30 more marks were obtained by the student in Mathematics than Hindi.
        (iii) Sum of the central angles made by Social Science and Mathematics = 65° + 90° = 155°.
                And, the sum of the central angles made by Science and Hindi = 80° + 70° = 150°
                Science 155° > 150°, therefore, the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.

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