Comprehension
The below shown pie diagram shows the marks of Raju in his tenth class with 554 in all. The values mentioned are in degrees.
1st Language: 90 degrees, Hindi: 60 degrees, English: 63 degrees, Mathematics: 72 degrees, Science: 75 degrees, Social: 80 degrees
Question: 1

The subject in which he scored \(16\frac{2}{3}\%\) of marks is

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Convert each subject's degree value to a percentage of 360 and compare it with \(16\frac{2}{3}\%\).
Updated On: Jul 21, 2026
  • Science
  • Social
  • Mathematics
  • Hindi
Show Solution

The Correct Option is D

Solution and Explanation

Step 1: Set up the mark conversion.
The full pie stands for 360 degrees against Raju's total of 554 marks, so each degree is worth \(\frac{554}{360}\) marks. We can turn any subject's degree value straight into marks with this rate, without first working out a percentage.

Step 2: Convert \(16\frac{2}{3}\%\) into marks.
\(16\frac{2}{3}\%\) of 554 is \(\frac{50}{3} \times \frac{554}{100} = \frac{27700}{300} = 92.33\) marks. So we are hunting for the subject that carries close to 92.33 marks.

Step 3: Convert each option's degrees into marks and compare.
Science: \(75 \times \frac{554}{360} = 115.42\) marks.
Social: \(80 \times \frac{554}{360} = 123.11\) marks.
Mathematics: \(72 \times \frac{554}{360} = 110.8\) marks.
Hindi: \(60 \times \frac{554}{360} = 92.33\) marks, which lines up exactly with the target of 92.33 marks.

Step 4: Conclusion.
Since only Hindi's mark value of 92.33 matches \(16\frac{2}{3}\%\) of 554, Hindi is the correct subject.
\[ \boxed{\text{Hindi}} \]
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Question: 2

The subject in which he scored approximately 97 marks is

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Convert each option's degree value into marks using (degree/360) x 554 and see which one lands near 97.
Updated On: Jul 21, 2026
  • Science
  • Social
  • Mathematics
  • English
Show Solution

The Correct Option is D

Solution and Explanation

Step 1: Turn 97 marks into a percentage of the total.
Raju's total is 554 marks, so 97 marks as a percentage of the total is \(\frac{97}{554} \times 100 = 17.51\%\).

Step 2: Turn each subject's degree value into a percentage.
Since 360 degrees stands for 100% of the marks, each subject's percentage is its degree divided by 360, times 100.

Step 3: Compare percentages.
Science: \(\frac{75}{360} \times 100 = 20.83\%\).
Social: \(\frac{80}{360} \times 100 = 22.22\%\).
Mathematics: \(\frac{72}{360} \times 100 = 20\%\).
English: \(\frac{63}{360} \times 100 = 17.5\%\), which is almost exactly the 17.51% we are looking for.

Step 4: Conclusion.
English's share of about 17.5% matches the target of 97 marks out of 554, so English is the correct subject.
\[ \boxed{\text{English}} \]
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Question: 3

Of the total marks, in which subject is his scoring percentage the highest?

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The subject with the largest degree value in the pie chart has the highest percentage share.
Updated On: Jul 21, 2026
  • Science
  • Social
  • 1st Language
  • English
Show Solution

The Correct Option is C

Solution and Explanation

Step 1: Convert every option's degrees into actual marks.
Using marks = (degree/360) x 554 for the total of 554:
Science (75 degrees): \(\frac{75}{360} \times 554 = 115.42\) marks.
Social (80 degrees): \(\frac{80}{360} \times 554 = 123.11\) marks.
1st Language (90 degrees): \(\frac{90}{360} \times 554 = 138.5\) marks.
English (63 degrees): \(\frac{63}{360} \times 554 = 96.95\) marks.

Step 2: Pick the largest mark value.
Out of 115.42, 123.11, 138.5, and 96.95, the largest is 138.5 marks, scored in 1st Language.

Step 3: Confirm against the subjects outside the options.
Mathematics (72 degrees) gives 110.8 marks and Hindi (60 degrees) gives 92.33 marks, both smaller than 138.5, so 1st Language stays the highest scoring subject overall, not just among the four listed options.

Step 4: Conclusion.
A larger mark value always means a larger percentage of the same total, so 1st Language also has the highest percentage.
\[ \boxed{\text{1st Language}} \]
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Question: 4

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

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Add the degree values for each group of three subjects first, then convert only the difference in degrees into marks.
Updated On: Jul 21, 2026
  • 2
  • 3
  • 4
  • 6
Show Solution

The Correct Option is D

Solution and Explanation

Step 1: Add up the degree values for each group.
Group A (1st Language, Hindi, Mathematics): \(90 + 60 + 72 = 222\) degrees.
Group B (Science, Social, English): \(75 + 80 + 63 = 218\) degrees.

Step 2: Find the difference in degrees.
\(222 - 218 = 4\) degrees. Since marks are proportional to degrees, this 4 degree gap can be converted straight into marks instead of converting each group separately.

Step 3: Convert the 4 degree gap into marks.
\[ \text{marks} = \frac{4}{360} \times 554 = \frac{2216}{360} = 6.16 \]

Step 4: Conclusion.
Rounding 6.16 gives a difference of about 6 marks between the two groups.
\[ \boxed{6} \]
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Question: 5

Of the total marks, in which subject is his percentage of scoring the lowest?

Show Hint

The subject with the smallest degree value in the pie chart has the lowest percentage share.
Updated On: Jul 21, 2026
  • Science
  • Social
  • 1st Language
  • Hindi
Show Solution

The Correct Option is D

Solution and Explanation

Step 1: Convert every option's degrees into marks.
Using marks = (degree/360) x 554:
Science (75 degrees): 115.42 marks.
Social (80 degrees): 123.11 marks.
1st Language (90 degrees): 138.5 marks.
Hindi (60 degrees): 92.33 marks.

Step 2: Pick the smallest mark value.
Out of 115.42, 123.11, 138.5, and 92.33, the smallest is 92.33 marks, scored in Hindi.

Step 3: Confirm against the subjects outside the options.
Mathematics (72 degrees) gives 110.8 marks and English (63 degrees) gives 96.95 marks, both larger than 92.33, so Hindi stays the lowest scoring subject overall, not just among the four listed options.

Step 4: Conclusion.
A smaller mark value always means a smaller percentage of the same total, so Hindi also has the lowest percentage.
\[ \boxed{\text{Hindi}} \]
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Top Questions on Pie Charts

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  • IBSAT
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  • IBSAT
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  • IBSAT
  • Reading Comprehension
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