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GATE 2019 CS – Question 7

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 2 marks · Multiple choice

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 ________.

Diagram for GATE 2019 CS question 7
  1. 0 to 15
  2. 16 to 30
  3. 31 to 45
  4. 46 to 60

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Show answer and explanation

Correct answer: (C) 31 to 45

Explanation

The regions hold 70 (teachers only), 10 (teachers and administrators), 20 (administrators only), 20 (administrators and researchers) and 40 (researchers only), for a total of 160. Administrators number $10+20+20=50$, which is $\frac{50}{160}=31.25\%$.