Q. 43.8( 141 Votes )

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).


Answer :


(i)

Total marks obtained by the student are 540.

Hence, 540 marks represents 360°

Now,

Central angle for 105 marks =



Central Angle for 105 marks = 70°

Hindi has its central angle as 70°

Hence, students score 105 marks in Hindi.


(ii) Angle made by Mathematics = 90°

Angle made by = 70°


(iii)

Total of Angles of Social Science and Math = 65°+90°=155°

Total of Angles of Science and Hindi = 80°+70°=150° 

It is clear that sum of marks obtained in Social Science and Math is more than that in Science and Hindi, So Answer is Yes!

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