Study the given Venn diagram carefully and answer the question. The numbers in different sections indicate the number of persons. (NOTE: You have to take the given data to be true even if they seem to be at variance from commonly known facts.)

How many Poets are neither Writers nor Teachers?

The correct option is 16.

Step-by-step Explanation:
To find the number of poets who are neither writers nor teachers, we need to analyze the three overlapping circles representing different categories of people in the Venn diagram:
1. Teachers: represented by the top-left circle.
2. Writers: represented by the top-right circle.
3. Poets: represented by the bottom circle.

Let us identify the values in the different regions of the Venn diagram visible in the image:
• The region containing only Teachers is labeled with the number 15.
• The region containing only Writers is labeled with the number 18.
• The region containing only Poets is labeled with the number 16.
• The region common to Teachers and Writers (excluding Poets) is labeled with the number 26.
• The region common to Teachers and Poets (excluding Writers) is labeled with the number 22.
• The region common to Writers and Poets (excluding Teachers) is labeled with the number 7.
• The region common to all three categories (Teachers, Writers, and Poets) is labeled with the number 10.

The question asks for the number of Poets who are neither Writers nor Teachers. This refers to the section of the Venn diagram that lies exclusively within the Poets circle, without overlapping with either the Teachers circle or the Writers circle.
By looking at the bottom circle representing Poets, the region that does not share space with the other two circles is labeled with the number 16.

Therefore, the number of poets who are neither writers nor teachers is 16.