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 such Engineers are there who are also Politicians but not Doctors?

The correct answer is 9.

Step-by-step Explanation:

We are required to find the number of persons who are Engineers and Politicians, but NOT Doctors.

Let's analyze the given Venn diagram:

1. Identify the overlapping region for Engineers and Politicians:
The circle representing Engineers and the circle representing Politicians intersect at the regions containing the numbers 9 and 17.

2. Exclude Doctors:
The circle for Doctors contains the numbers 7, 17, 10, and 15.
Since the question specifically specifies "not Doctors", we must eliminate any region that lies inside the Doctors circle.
This excludes the number 17 (which represents people who are Engineers, Politicians, AND Doctors).

3. Conclusion:
The region representing people who are Engineers and Politicians but not Doctors contains the number 9.

Therefore, the number of such persons is 9.