Comprehension
The following pie-charts show the distribution of students of graduate and post graduate levels in seven different institutes in a town.
Question: 1
What is the total number of graduate and post-graduate level students in institute R?
What is the total number of graduate and post-graduate level students in institute R?
Show Hint
In pie chart problems, calculate each category separately, then add or compare as required.
Updated On: Apr 21, 2026
- 8320
- 7916
- 9116
- 8099
Show Solution
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The Correct Option is D
Solution and Explanation
Concept:
From pie charts:
\[
{Number of students} = {Percentage} \times {Total students}
\]
Step 1: Graduate students in R.
From chart: \[ R = 17% { of } 27300 \] \[ = \frac{17}{100} \times 27300 = 4641 \]
Step 2: Post-graduate students in R.
From chart: \[ R = 14% { of } 24700 \] \[ = \frac{14}{100} \times 24700 = 3458 \]
Step 3: Total students in R.
\[ 4641 + 3458 = 8099 \]
Hence, the total number of students in institute R is 8099.
Step 1: Graduate students in R.
From chart: \[ R = 17% { of } 27300 \] \[ = \frac{17}{100} \times 27300 = 4641 \]
Step 2: Post-graduate students in R.
From chart: \[ R = 14% { of } 24700 \] \[ = \frac{14}{100} \times 24700 = 3458 \]
Step 3: Total students in R.
\[ 4641 + 3458 = 8099 \]
Hence, the total number of students in institute R is 8099.
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Question: 2
What is the ratio between the number of students studying at post-graduate and graduate levels respectively in the institute S?
What is the ratio between the number of students studying at post-graduate and graduate levels respectively in the institute S?
Show Hint
In ratio questions from pie charts, calculate actual values first, then simplify the ratio.
Updated On: Apr 21, 2026
- 14 : 19
- 19 : 21
- 17 : 21
- 19 : 14
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The Correct Option is D
Solution and Explanation
Concept:
\[
{Number of students} = {Percentage} \times {Total students}
\]
Step 1: Graduate students in S.
From chart: \[ S = 14% { of } 27300 \] \[ = \frac{14}{100} \times 27300 = 3822 \]
Step 2: Post-graduate students in S.
From chart: \[ S = 21% { of } 24700 \] \[ = \frac{21}{100} \times 24700 = 5187 \]
Step 3: Find ratio (PG : Graduate).
\[ 5187 : 3822 \] Divide both by 273: \[ = 19 : 14 \]
Hence, the required ratio is 19 : 14.
Step 1: Graduate students in S.
From chart: \[ S = 14% { of } 27300 \] \[ = \frac{14}{100} \times 27300 = 3822 \]
Step 2: Post-graduate students in S.
From chart: \[ S = 21% { of } 24700 \] \[ = \frac{21}{100} \times 24700 = 5187 \]
Step 3: Find ratio (PG : Graduate).
\[ 5187 : 3822 \] Divide both by 273: \[ = 19 : 14 \]
Hence, the required ratio is 19 : 14.
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Question: 3
How many students of institutes M and S are studying at graduate level?
How many students of institutes M and S are studying at graduate level?
Show Hint
When multiple categories are asked, calculate each separately and then add carefully.
Updated On: Apr 21, 2026
- 7516
- 8463
- 9127
- 9404
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Concept:
\[
{Number of students} = {Percentage} \times {Total students}
\]
Step 1: Graduate students in M.
From chart: \[ M = 17% { of } 27300 \] \[ = \frac{17}{100} \times 27300 = 4641 \]
Step 2: Graduate students in S.
From chart: \[ S = 14% { of } 27300 \] \[ = \frac{14}{100} \times 27300 = 3822 \]
Step 3: Total students.
\[ 4641 + 3822 = 8463 \]
Hence, the total number of students is 8463.
Step 1: Graduate students in M.
From chart: \[ M = 17% { of } 27300 \] \[ = \frac{17}{100} \times 27300 = 4641 \]
Step 2: Graduate students in S.
From chart: \[ S = 14% { of } 27300 \] \[ = \frac{14}{100} \times 27300 = 3822 \]
Step 3: Total students.
\[ 4641 + 3822 = 8463 \]
Hence, the total number of students is 8463.
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Question: 4
Total number of students studying at post-graduate level from institutes N and P is:
Total number of students studying at post-graduate level from institutes N and P is:
Show Hint
For pie chart problems, always read percentages carefully and multiply with the correct total (graduate vs post-graduate).
Updated On: Apr 21, 2026
- 5601
- 944
- 6669
- 8372
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Concept:
\[
{Number of students} = {Percentage} \times {Total students}
\]
Step 1: Post-graduate students in N.
From chart: \[ N = 15% { of } 24700 \] \[ = \frac{15}{100} \times 24700 = 3705 \]
Step 2: Post-graduate students in P.
From chart: \[ P = 12% { of } 24700 \] \[ = \frac{12}{100} \times 24700 = 2964 \]
Step 3: Total students.
\[ 3705 + 2964 = 6669 \]
Hence, the total number of students is 6669.
Step 1: Post-graduate students in N.
From chart: \[ N = 15% { of } 24700 \] \[ = \frac{15}{100} \times 24700 = 3705 \]
Step 2: Post-graduate students in P.
From chart: \[ P = 12% { of } 24700 \] \[ = \frac{12}{100} \times 24700 = 2964 \]
Step 3: Total students.
\[ 3705 + 2964 = 6669 \]
Hence, the total number of students is 6669.
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