Question

If the square represents dancers, circle represents the singers, and rectangle represents the chefs, then how many teachers are there who are not singers?

• A. 13
• B. 12
• C. 10
• D. 9

Hint:

In Venn diagrams, always pay attention to the intersections to identify the elements that belong to multiple sets.

Answer 1

The Correct Option is B

Step 1: Understanding the diagram.
The diagram represents a Venn diagram with 3 sets: Dancers, Singers, and Teachers. The numbers inside the diagram represent the count of people in different categories. The total number of teachers is the sum of the numbers inside the triangle. Teachers who are not singers are those who are outside the circle but still inside the triangle. These are the individuals represented by the numbers 7 and 9 in the diagram.
Step 2: Analyzing the numbers.
The total number of teachers is \( 7 + 9 = 16 \). The number of teachers who are also singers is 2 (represented by the number 2 inside the overlap of the triangle and circle). Thus, the number of teachers who are not singers is \( 16 - 2 = 12 \).
Step 3: Conclusion.
The correct answer is (B) 12, as 12 teachers are not singers.