In the given diagram, teachers are represented in the triangle, researchers in…
2019
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 ___________.
- A.
0 to 15
- B.
16 to 30
- C.
31 to 45
- D.
46 to 60
Attempted by 42 students.
Show answer & explanation
Correct answer: C
Summary: read the numbers in each distinct region of the diagram and use them to compute the percentage of administrators.
Teachers only = 70
Teachers and Administrators = 10
Administrators only = 20
Administrators and Researchers = 20
Researchers only = 40
Total people: 70 + 10 + 20 + 20 + 40 = 160
Total administrators: 10 (teachers ∩ admins) + 20 (admins only) + 20 (admins ∩ researchers) = 50
Percentage of administrators: (50 / 160) × 100 = 31.25%
Conclusion: the administrator percentage is 31.25%, which lies in the range 31 to 45.
A video solution is available for this question — log in and enroll to watch it.