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:
- 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?)
- How many more marks were obtained by the student in Mathematics than in Hindi?
- 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).
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:
- 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?)
- How many more marks were obtained by the student in Mathematics than in Hindi?
- 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).
Updated On: Aug 16, 2025
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Solution and Explanation
| Subject | Central Angle | Marks obtained |
|---|---|---|
| Mathematics | \(90\degree\) | \(\frac{90\degree}{360\degree}\times540=135\) |
| Social Science | \(65\degree\) | \(\frac{65\degree}{360\degree}\times540=97.5\) |
| Science | \(80\degree\) | \(\frac{80\degree}{360\degree}\times540=120\) |
| Hindi | \(70\degree\) | \(\frac{70\degree}{360\degree}\times540=105\) |
| English | \(55\degree\) | \(\frac{55\degree}{360\degree}\times540=82.5\) |
(i) The student scored \(105\) marks in Hindi.
(ii) Marks obtained in Mathematics = \(135\)
Marks obtained in Hindi = \(105\)
Difference = \(135 – 105 = 30\)
Thus, \(30\) more marks were obtained by the student in Mathematics than in Hindi.
(iii) The sum of marks in Social Science and Mathematics = \(97.5 + 135 = 232.5\)
The sum of marks in Science and Hindi = \(120 + 105 = 225\)
Yes, the sum of the marks in Social Science and Mathematics is more than that in Science and Hindi.
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