CTET 2 Math and Science 07 Jul 2024 Paper

Question : 47 of 150

Marks: +1, -0

In a pie chart, the marks obtained by a student in Mathematics, Science, Social Science, Hindi and English are respectively represented by sectors of central angles 90°, 80°, 65°, 75° and 50°. If the total marks obtained by the students were 540, then what is the difference of the marks obtained by him / her in Mathematics and English ?

Validate

Solution:

In a pie chart, different sectors represent different categories with their central angles proportional to the data values.
The sum of all central angles in a pie chart is

360^{∘}

. If the total marks obtained by a student were 540 , we can use the central angles to find the marks obtained in each subject.
Calculation:
Determine marks per degree
The total central angle of a pie chart is

360^{∘}

. The total marks obtained by the student are 540 .
So, marks per degree can be calculated as
Marks Per degree

=540 \/ 360=1.5

Marks per degree
Calculate the marks for Mathematics and English
Mathematics: The central angle is

90^{∘}

. so the marks obtained in Mathematics are:

⇒ 90 × 1.5=135 \;\text " marks "\;

English: The central angle is

50^{∘}

. so the marks obtained in English are:

⇒ 50 × 1.5=75 \;\text " marks "\;

The difference in marks between Mathematics and English is

⇒ 135-75=60 \;\text " Marks "\;

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