Question

Question 4(iii)
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:

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

Answer 1

$\begin{array}{ccc}\text{Subject}& \text{Centra Angle}& \text{Marks obtained}\\ \text{Mathematics}& {90}^{\circ }& \frac{{90}^{\circ }}{{360}^{\circ }}\times 540=135\\ \text{Social Science}& {65}^{\circ }& \frac{{65}^{\circ }}{{360}^{\circ }}\times 540=97.5\\ \text{Science}& {80}^{\circ }& \frac{{80}^{\circ }}{{360}^{\circ }}\times 540=120\\ \text{Hindi}& {70}^{\circ }& \frac{{70}^{\circ }}{{360}^{\circ }}\times 540=105\\ English& {55}^{\circ }& \frac{{55}^{\circ }}{{360}^{\circ }}\times 540=82.5\end{array}$
The central angle for maths is ${90}^{\circ }$ and central angle for Social science is ${65}^{\circ }$
$\therefore$ Their sum is ${90}^{\circ }+{65}^{\circ }={155}^{\circ }$
The central angle for Science is ${80}^{\circ }$ and central angle for Hindi is ${70}^{\circ }$
$\therefore$Their sum is ${80}^{\circ }+{70}^{\circ }={150}^{\circ }$
Yes, the sum of the marks in Social Science and Mathematics is more than that in Science and Hindi.