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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?
(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.
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Given: Marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science.

Total Marks obtained by the students is 540.


To find: 

(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.



Solution:

SubjectCentral angleMarks obtained
Mathematics90o(90o $\times$ 540 $\div$ 360 = 135
Science80o(80o $\times$ 540 $\div$ 360 = 120
Social science

65o

(65o $\times$ 540 $\div$ 360 = 97.5
English55o(55o $\times$ 540 $\div$ 360 = 82.5
Hindi70o(70o $\times$ 540 $\div$ 360 = 105



Using the data from pie chart:


(i) Student scored 105 marks in Hindi.


(ii) 30 more marks were obtained by student in maths than in Hindi.


(iii) Yes, marks in Social Science and Mathematics > Science and Hindi.

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Updated on: 10-Oct-2022

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