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

From the Venn diagram, we have:
The total number of educated people is represented by the triangle, which consists of:
11 (Educated but not backward)
6 (Educated and backward)
5 (Educated and employed, backward)
3 (Educated and employed, not backward)
To find the total number of educated and employed people, we sum the following:
The people who are both educated and employed:
5 (Educated, backward, and employed)
3 (Educated, not backward, and employed) Therefore, the total number of educated and employed people is: \[ 5 + 3 = 8 \] Final Answer: The total number of educated and employed people is (d) 9.