Study the given diagram carefully and answer the question. The numbers in different sections indicate the number of persons.

Which of the following statements is correct on the basis of the above diagram? ​​

Correct option is A

​​Analyzing the Venn Diagram
The Venn diagram shows three categories:
Medal Winners
Girls
Gymnasts
Each section contains numbers indicating the count of people in each category or overlapping categories.
Interpretation of Each Statement
A "The number of medal winners who are also girls is 27."

In the Venn diagram, the overlapping area of Medal Winners and Girls (including those who might also be Gymnasts) shows 16 + 11 = 27.
This statement is correct.
B "The number of gymnasts who are also medal winners is 34."
The overlapping area of Gymnastsand Medal Winners (including those who might also be Girls) shows11 + 8 = 19.
This statement is incorrect.
C: "The number of girls who are also gymnasts is 41."
The overlapping area of Girlsand Gymnasts (including those who might also be Medal Winners) shows 11 + 14 = 25.
This statement is incorrect.
D: "The number of girls who are neither gymnasts nor medal winners is 23."
The area representing Girls only without any overlap with Gymnasts or Medal Winners is25.
This statement is incorrect.
Conclusion
The correct statement is:
Statement 1: "The number of medal winners who are also girls is 27."