The following pie diagram gives the marks scored by a student in different subjects - English, Hindi, Mathematics, Science and Social Science in an examination. Assuming that the total marks obtained for the examination are 540, answer the questions. Find the difference of marks of the sum of Maths and English to the sum of social Science and Science.

Options

A. 0
B. 50
C. 55
D. 45

Answer

To solve the problem, we need to find the difference between the sum of marks obtained in Mathematics and English, and the sum of marks obtained in Science and Social Science. We will first convert the degrees in the pie chart into actual marks based on the total marks obtained (540).

### Step-by-Step Solution:

1. **Calculate Marks for Mathematics:**
- The degree for Mathematics is given as \(90^\circ\).
- To find the marks:
\[ \text{Marks in Maths} = \left(\frac{90}{360}\right) \times 540 = 135 \]

2. **Calculate Marks for English:**
- The degree for English is \(55^\circ\).
- To find the marks:
\[ \text{Marks in English} = \left(\frac{55}{360}\right) \times 540 = 82.5 \]

3. **Calculate Marks for Science:**
- The degree for Science is \(80^\circ\).
- To find the marks:
\[ \text{Marks in Science} = \left(\frac{80}{360}\right) \times 540 = 120 \]

4. **Calculate Marks for Social Science:**
- The degree for Social Science is \(65^\circ\).
- To find the marks:
\[ \text{Marks in Social Science} = \left(\frac{65}{360}\right) \times 540 = 97.5 \]

5. **Sum of Marks in Mathematics and English:**
- Now, we add the marks obtained in Mathematics and English:
\[ \text{Sum of Maths and English} = 135 + 82.5 = 217.5 \]

6. **Sum of Marks in Science and Social Science:**
- Next, we add the marks obtained in Science and Social Science:
\[ \text{Sum of Science and Social Science} = 120 + 97.5 = 217.5 \]

7. **Calculate the Difference:**
- Finally, we find the difference between the two sums:
\[ \text{Difference} = \text{Sum of Maths and English} - \text{Sum of Science and Social Science} = 217.5 - 217.5 = 0 \]

### Final Answer:
The difference of marks of the sum of Mathematics and English to the sum of Social Science and Science is **0**.