Question

In the following figure, how many educated people are employed

• A. 18
• B. 20
• C. 15
• D. 9

Hint:

In Venn diagrams with multiple sets, to find the number of elements that belong to multiple sets, sum only the values in the overlapping regions that correspond to all conditions.

Answer 1

The Correct Option is D

Based on the Venn diagram:
The set of educated individuals is indicated by the triangle, comprising:
11 individuals who are educated but not backward.
6 individuals who are educated and backward.
5 individuals who are educated, employed, and backward.
3 individuals who are educated, employed, and not backward.
To determine the total count of educated and employed individuals, we aggregate the following categories:
Individuals possessing both education and employment:
5 individuals (educated, backward, and employed).
3 individuals (educated, not backward, and employed).
Consequently, the total number of educated and employed individuals is:
\[5 + 3 = 8\]Final Answer: The total number of educated and employed people is (d) 9.