Question

Study the given pie chart carefully and answer the question that follows.
The pie chart below shows the marks scored by Raju in his tenth class, with a total of 554 marks. The values shown are in degrees.

What is the difference between the marks obtained in 1st Language, Hindi and Mathematics, and the marks obtained in Science, Social and English?

• A. 2
• B. 3
• C. 4
• D. 5
• E. 6

Hint:

Add the degree values of each group of three subjects, find the difference in degrees, then convert that difference to marks.

Answer 1

Answer: (E)

We need the difference between two groups of subjects: Group A (1st Language, Hindi, Mathematics) and Group B (Science, Social, English).

Step 1: Add up the degree values of Group A.
1st Language + Hindi + Mathematics \(= 90 + 60 + 72 = 222\) degrees

Step 2: Add up the degree values of Group B.
Science + Social + English \(= 75 + 80 + 63 = 218\) degrees

Step 3: Find the difference in degrees between the two groups.
\(222 - 218 = 4\) degrees

Step 4: Convert this degree difference into marks using marks \(= \frac{\text{degree}}{360}\times 554\).
\[\frac{4}{360}\times 554 = \frac{2216}{360} = 6.16\]

This rounds off to 6 marks.

So the difference between the two groups of marks is approximately 6, option (e).