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 were540, answer the following questions.

(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).

Answers (1)
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

(iii) the sum of the marks obtained in Social Science and Mathematics = 97.5+135=232.5

     the sum of the marks obtained in Science and Hindi = 120+105=225

Yes, the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.

 

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