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.

The subject in which he scored approximately 97 marks is

• A. Science
• B. Social
• C. Mathematics
• D. English
• E. Hindi

Hint:

Convert each subject's degree value to marks using marks = (degree/360) x 554, then check which one is close to 97.

Answer 1

The Correct Option is D

The total marks Raju scored is 554, and this corresponds to a full circle of 360 degrees. So each degree in the chart is worth \(\frac{554}{360}\) marks.

Step 1: Find the marks-per-degree value.
\[\frac{554}{360} = 1.5389 \text{ marks per degree (approximately)}\]

Step 2: Convert the degree value of each subject into marks using marks \(= \frac{\text{degree}}{360}\times 554\).
1st Language (90 degrees): \(\frac{90}{360}\times 554 = 138.5\)
Hindi (60 degrees): \(\frac{60}{360}\times 554 = 92.33\)
English (63 degrees): \(\frac{63}{360}\times 554 = 96.95\)
Mathematics (72 degrees): \(\frac{72}{360}\times 554 = 110.8\)
Science (75 degrees): \(\frac{75}{360}\times 554 = 115.42\)
Social (80 degrees): \(\frac{80}{360}\times 554 = 123.11\)

Step 3: Compare each value to 97 marks. English gives 96.95, which rounds to approximately 97 marks. None of the other subjects come close to this value.

So the subject in which Raju scored approximately 97 marks is English, option (d).