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, in which subject did the student score 105 marks?

Answer 1

$\begin{array}{ccc}\text{Subject}& \text{Central Angle}& \text{Marks obtained}\\ \text{Mathematics}& {90}^{\circ }& \frac{{90}^{\circ }}{{360}^{\circ }}\times 540=135\\ \text{Social Science}& {65}^{\circ }& \frac{{65}^{\circ }}{{360}^{\circ }}\times 540=97.5\\ \text{Science}& {80}^{\circ }& \frac{{80}^{\circ }}{{360}^{\circ }}\times 540=120\\ \text{Hindi}& {70}^{\circ }& \frac{{70}^{\circ }}{{360}^{\circ }}\times 540=105\\ \text{English}& {55}^{\circ }& \frac{{55}^{\circ }}{{360}^{\circ }}\times 540=82.5\end{array}$

The student scored 105 marks in Hindi.