Official PYQ · 2019QGA-7MCQ2 marks

GATE CS 2019 QGA-7 — General Aptitude

In the given diagram, teachers are represented in the triangle, researchers in the circle and administrators in the rectangle. Out of the total number of the people, the percentage of administrators shall be in the range of _______

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Answer: C

To find the percentage of administrators, we first identify the values corresponding to each region in the given Venn diagram:

Only Teachers (Triangle only): $80$
Only Researchers (Circle only): $50$
Only Administrators (Rectangle only): $20$
Teachers & Researchers only: $10$
Teachers & Administrators only: $15$
Researchers & Administrators only: $40$
All three categories: $15$

Now, we calculate the total number of people in the diagram:

\text{Total People} = 80 + 50 + 20 + 10 + 15 + 40 + 15 = 230

Next, we find the total number of administrators, which is the sum of all regions inside the rectangle:

\text{Total Administrators} = 20 + 15 + 40 + 15 = 90

The percentage of administrators is calculated as:

\text{Percentage} = \left( \frac{90}{230} \right) \times 100\% \approx 39.13\%

Since $39.13\%$ falls in the range of $31$ to $45$ , the correct option is C.

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Published 10 Oct 2026

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